Exhibit TWENTY-FIVE Living Society Registry v347

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# Living Society Registry

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**An Open Registry of Observations from Science**

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**1 Specifying the pattern, gathering toward it**

1.1 Observations arriving from the fields, each seating at its society

1.2 Specifying the pattern in advance, each entry a pattern matched

1.3 Upstream of the observing, the line running against the current

1.4 An instrument sums, and the magnitude stands at every resolution

1.5 Forming an entry, the readings it stands at

1.6 Running the form — three forkings and two joinings, alternating

1.7 Residuals carried where each member runs its own, measurable in the observers' units

1.8 Carrying the fields' words, and stripping the one-ways

1.9 Where lines stand empty, and each emptiness is a reading

1.11 Stating in advance what breaks an entry

1.12 A living file, and the nye marks

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**2 Collecting — societies read at their own grains**

2.1 A mitochondrion read at one temperature

2.2 A chromatin domain read at one boundary

2.3 A proton read as crossing water

2.4 A threshold read at a perceiving self

2.5 A vacuum read for its particles

2.6 Two waters read at one bond

2.7 Two neutrons read at one core

2.8 Three atoms read at one scattering length

2.9 A membrane read at one potential

2.10 A node read at one rate

2.11 A planet read at one budget

2.12 A ring read at one boundary

2.13 A web read at one efficiency

2.14 A star read at one count

2.15 A cosmos read at one rate

2.16 A pattern read one arrival at a time

2.17 An engine read one electron at a time

2.18 A molecule read at one work

2.19 A mixture read at one constant

2.20 A protein read at one melting point

2.21 An enzyme read at one turnover

2.22 A body read at one week of glucose

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**3 Passing at the substrates, one at a time**

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# 1 Specifying the pattern, gathering toward it

## 1.1 Observations arriving from the fields, each seating at its society

Observations arrive from science, medicine, engineering and society, and each seats at the society it was read across.

For each entry it sets out what the members are, what stood upstream of the observing, what magnitude was read across the members, where they co-competence, and what the account carries where they do not.

The intended reading is one entry at a time. At the end of an entry a reader who followed the observation should be able to say: I know what this society is, I know what was already fixed before anyone looked, I know what number was read across the members, I know which member carries that number, and I have seen what the account carries at the positions where no agreement stands.

Every line is one the record carries. Any observation omitted is a defect in the entry, correctable by anyone standing where the record stands. No observation is set aside for not fitting. The technology is all or none at all.

## 1.2 Specifying the pattern in advance, each entry a pattern matched

There is no inferring here. In disequilibria each thing runs on its own until it bi-couples, and an entry is a pattern matched, not a conclusion drawn. The pattern is specified in advance, the collection gathers toward it, and whatever observations arrive are what the collection resolves.

The pattern, all ten of it or none:

- **(i)** the society has members, each taking a sign at its own membrane, one at a time;
- **(ii)** a magnitude is read across the members and carried as a property of the society, in the observers' own units;
- **(iii)** something stood upstream of the observing — a source posited, a method run, an instrument summing, an inferencing made before any reading;
- **(iv)** the members have been resolved by some instrument and found to take their own signs;
- **(v)** no member carries the magnitude;
- **(vi)** the account carries something at the positions where the members do not agree, under a word;
- **(vii)** a position stands that no member occupies;
- **(viii)** two unrelate at a nothing, with crossings co-sequencing on the two sides;
- **(ix)** what arrives at one end is not what stood at the other;
- **(x)** the ten holdings of Exhibit TWENTY-TWO stand at the substrate as one progressioning.

Where the pattern matches at every line, the entry stands filled. Where a line does not match, the line is entered empty and the emptiness is the finding. Nothing is inferred from a fill and nothing from an empty.

**Arriving through the door.** From this version, observations arrive through the door at TWENTY-SEVEN 7.5, where ten lines are read is or is-not on every record from the fields — a proton, a set point, a sorter, a pair of waters alike. What fails a line with the field's sentence installing it is caught there as a ghost; what fails with nothing installed is placed among that registry's controls; what passes every line arrives here and is entered in the ten above, at its own grain, with the upstream recovered. The door record stays at the door, the label stays, and what arrives here is not what stood there. An entry arriving carries the door line it passed at. A passing requires the members resolved and no door line reading is-not; a door line reading empty passes as a finding with its grain named, since an emptiness is a reading here (1.9), and a society can pass the door and still stand here with its upstream line empty. The five entries at 2.1 to 2.5 arrived before the door stood; their door records are read at TWENTY-SEVEN 7.8, and 2.2 passes with its two empties as findings. Three door lines — surplus, bound and reach: the self's own surfacing and inseparating, and the society's torusing with nothing above it, in Exhibit ONE's names — have no line in the ten above; an entry carries them at its words stripped until the pattern is widened at a next version.

**Not an entry.** A society whose members have not been resolved, which is a not-yet and enters as such, with the grain named. An observation with no society under it. A reading whose units the observers do not carry.

## 1.3 Upstream of the observing, the line running against the current

This is the line the collection exists for, and it runs against the current.

An observation does not arrive bare. Before any reading, a source was posited, a method was settled, an instrument was built to sum over something, and an inferencing was made about what kind of thing was there. By the time the explaining is published, all four stand inside it and none of them is entered as data.

The geodesic method runs upstream from the reading, freeing position, orientation and scale at each step, and each freeing lands a fresh fixing to free. The entry carries what it finds at each:

**The source posited.** What the field settled the thing comes from, before looking. Usually a one-way and usually further back than anything measured.

**The method run.** What procedure returns a number at all, and what it requires to be true before it returns one.

**The instrument, and what it sums.** Every instrument sums, and the summing is what returns a signal. The entry names the span summed over — how many members, over what interval — and what the instrument returns where the members do not agree.

**The inferencing prior to the explaining.** What was taken as a kind before any reading: that there is one of it, that it has a level, that it sits somewhere, that it persists. These are the fixings the reading was built on and they are older than the data.

Where any of the four cannot be recovered from the record, the line stands empty and the entry says so. An empty upstream line is not a clean observation; it is an observation whose upstream has not been found yet.

## 1.4 An instrument sums, and the magnitude stands at every resolution

An instrument sums, and summing is what returns a signal. So an instrument returns a reading where the members co-competence and returns nothing where they do not, and the nothing enters no account.

Finer resolution moves the grain and not the form. At the finer grain the same summing runs over the smaller members, a magnitude stands again, and again no member carries it. This is not a fault in instruments. Where the members agree, the agreement is the co-competencing, and the magnitude is a true reading of it. What does not stand beside it is that anything there has it.

Where an instrument resolves one society and not a sum — one pair of waters under a tip, its roles watched exchanging — the members are read rather than summed, and the magnitude stands at that one society as it stands at the sum. The form is the same at one as at many.

**So.** A magnitude read across a society is a reading of the agreement among its members. Each refinement of the instrument returns the same form one grain down.

## 1.5 Forming an entry, the readings it stands at

```
The society                  in the observers' own terms

The members                  what takes a sign, and at what

Upstream of the observing
  The source posited         what it was settled to come from
  The method run             what returns a number, and on what
  The instrument             what it sums, over how many, how long
  The inferencing prior      what was taken as a kind before looking

The magnitude read           the quantity carried across the members,
                             in the observers' units

  Where the members agree    what the instrument returns
  Where they do not          what the account carries there,
                             and the word it carries it under

Whether any member carries it

The apex                     the position no member occupies

The seam                     where two unrelate, and what stands
                             at the crossings

The passing                  what crosses, and what arrives

The words carried            the doers, walls and one-ways in the
                             observers' own sentences
  Stripped                   the same lines, as measured

Where it stands in the ten   which holding, and which of the ten
                             stand empty
```

## 1.6 Running the form — three forkings and two joinings, alternating

Three forkings and two joinings, alternating, as at the Hard Problem Registry. Each joining is a bringing-together and not a step taken.

**Fork.** The society parts into its members and what stood upstream of anyone reading them.

**Join.** The magnitude. The upstream and the members are brought together and a number stands between them, and naming it is naming what the instrument returned.

**Fork.** Where the members agree and where they do not. The reading and the residual, both in the observers' own units.

**Join.** Whether any member carries the magnitude. Carried, and the reading is that member's and the entry stands there. Not carried, and the reading is of the co-competencing and the residual is the positions with no agreement. Nothing is concluded at this line; the pattern either matches at it or does not.

**Fork.** The apex and the seam. The position no member occupies, and the nothing between two that do not relate.

## 1.7 Residuals carried where each member runs its own, measurable in the observers' units

A residual is what an account carries at the positions where its members do not co-competence. It is measurable in the observers' own units, and the words recur across societies:

**Leak**, where the passing does not sum. **Futile**, where a cycle returns no entry to the ledger. **Dark**, where the instrument's condition is unmet. **Noise**, where members take unlike signs. **Baseline** and **resting**, where a reading stands with no ascribed occasion. **Heterogeneity**, where members are found and the average is kept. **Outlier**, where a member standing between two readings is discarded. **Drift**, where a rate does not land. **Error**, where the spread of members is entered against the mean. **Compensation**, where a reading does not move and a term is added for its not moving.

A residual is not a fault and not a loss. It is the exact part of a society that is not agreeing, carried under a word for absence, and it is usually the larger part.

## 1.8 Carrying the fields' words, and stripping the one-ways

The observations arrive written in one-way equilibria. The nature is inside the writing and the entry takes it out. Three kinds of word are stripped, and the entry carries both the line as published and the line as measured, so anyone can check the strip.

**Doers.** A subject acting on an object — instructs, drives, governs, pushes, requires, recognises, monitors, decides, sorts, corrects, catalyses. Under each, a coupling running at a rate.

**Walls.** Confinement, insulation, barrier, gate, exclusion, prevention. Under each, members not chaining, or crossings sequencing at unlike rates on the two sides of a nothing.

**One-ways.** Because, therefore, which is why, so that, causes, makes, is what makes. Under each, two things standing beside each other.

The rule: where a published sentence carries a subject doing something to an object, the measurement stands underneath it and the entry states the measurement.

## 1.9 Where lines stand empty, and each emptiness is a reading

Five lines can stand empty, and each emptiness is a reading.

**No members resolved.** The society has not been taken finer by any instrument. Not-yet, with the grain named.
**Upstream not recovered.** The source, method, instrument or prior inferencing cannot be found in the record. The line stands empty and the entry says which of the four.
**A member carries the magnitude.** The reading is that member's and the entry stands at the line.
**No residual.** The account closes with nothing carried elsewhere.
**No apex named.** Nothing in the record names a position no member occupies.

An emptiness is recorded at the entry, not at the door. Nothing considered is left out.

## 1.11 Stating in advance what breaks an entry

**F1.** An entry where a member does carry the magnitude.
**F2.** An observation in the record and not entered, or entered against what the record carries.
**F3.** An entry where the residual is the physics rather than the disagreement.
**F4.** A society resolved finer with the magnitude unchanged and carried, at the finer grain, by a member.
**F5.** A society described in terms its observers would not carry as their own.
**F6.** A substrate where one of the ten stands empty and stays empty under further record. This is the check the collection most wants run, and it is the one that would show the ten wide rather than the progressioning standing.
**F7.** An entry whose upstream lines fill with something no record supports.

F2 and F4 are runnable by anyone holding the same record and instruments.

## 1.12 A living file, and the nye marks

Entries are added as observations arrive and revised as further record is published.

Where a line stands from general knowledge rather than from a documented record, the entry carries the mark **nye**, naming the specific claim that would need checking. A nye that does not name something checkable is a defect.

No names and no history are carried. Back-crediting cannot be done fairly and stands between the reader and the concept.

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# 2 Collecting — societies read at their own grains

*The entries stand here, one to an observation, and their count is recomputed at them.*

*Entries in the order worked. No grouping is intended or implied.*

## 2.1 A mitochondrion read at one temperature

**Society met.** The inner membrane of a mitochondrion, with its ion-translocating proteins, its water, and its reporter molecules.

**Members met.** Each translocation, one at a time, at its own position on the membrane.

**Upstream — source posited.** The organelle as the place heat is produced, and heat as what drives the chemistry.
**Upstream — method run.** A reporter calibrated against bulk temperature in a beaker, then read inside an organelle a few hundred nanometres across.
**Upstream — instrument.** Fluorescence summed over a very large number of reporter molecules, in time and along the surface.
**Upstream — inferencing prior.** That a temperature stands there; that it is a level; that a steady state holds; that conduction runs through bulk water at bulk conductivity.

**Magnitude read.** Temperature. Reported ten to fifteen degrees above the surrounding, cultured cells at thirty-eight giving readings near fifty.

**Members agreeing.** The summed fluorescence returns a level.

**Members parting.** The steady-state conduction calculation returns a maximum difference of ten to the minus five degrees. The two readings differ by a millionfold and the observers name it a paradox. Beside it: the complexes come apart above forty-three degrees.

**Any member carrying it.** No. The reconciliation standing in the record is that each translocation carries a picosecond difference of the order measured, that time-averaging returns the calculated value, and that a steady signal is the appearance produced by superposition of many reporters in time and space.

**Apex standing.** Empty at this grain. The passing at each position runs through a state belonging to neither side, and the record names that at the water grain rather than here.

**Seam standing.** The cristae junction, physically connected membrane carrying unrelated potential on the two sides.

**Passing.** A proton arrives at one position and a proton leaves at another. No proton crosses.

**Words carried.** Furnace. Heat production. Waste. Temperature driving processes. Hot spots. The value is homeostatically maintained.

**Stripped.** A reading is taken at each position. Displaced by substrate starvation, substrate modification, reduced demand, carrier inhibition and respiratory poisons, the reading falls and returns to its value.

**Standing in the ten.** A middle, held as a thing that sits. All ten stand filled at this substrate.

## 2.2 A chromatin domain read at one boundary

**Society met.** The chromatin fibre across a population of cells.

**Members met.** Each allele, each carrying its own conformation.

**Upstream — source posited.** A folding code carried in marks along the fibre.
**Upstream — method run.** Crosslinking, cutting, ligating and sequencing, returning a contact frequency between positions.
**Upstream — instrument.** Summed across millions of cells by construction; a single member returns no map.
**Upstream — inferencing prior.** That contact frequency reads structure; that there is one structure; that a boundary is a place rather than a position.

**Magnitude read.** The domain and its boundary, from population contact frequency.

**Members agreeing.** Boundary positions across members co-locate at particular sites, and the population reading returns a sharp boundary there.

**Members parting.** Boundary pairing stands at any moment in something like five to twenty per cent of alleles, and boundaries occur with nonzero probability at all positions. The remainder is carried as variability.

**Any member carrying it.** No. Single-member tracing returns domain-like structures with sharp boundaries in every member, at positions varying member to member.

**Apex standing.** Empty.

**Seam standing.** The boundary itself, sharp in each member, at a different position in each.

**Passing.** Empty at this grain.

**Words carried.** Cohesin forms the domains. Depletion abolishes them. The boundary insulates.

**Stripped.** With the extrusion running, boundary positions across members stand at the same sites. Without it, every member still carries a boundary of unchanged size, frequency and sharpness, and the positions no longer coincide.

**Standing in the ten.** An opening, an axis opened and held as a place. The bound and the rate stand empty from the record held. **nye — the processivity of extrusion and its release distribution would need checking against the bound.**

## 2.3 A proton read as crossing water

**Society met.** A chain of water molecules, hydrogen-bonded.

**Members met.** Each water, taking a proton at one membrane and offering one at the next.

**Upstream — source posited.** A charged particle travelling through a medium.
**Upstream — method run.** Conductivity across a bulk volume, converted to a diffusion coefficient by a relation built for particles that move.
**Upstream — instrument.** Summed over the whole volume and over seconds, against transfers running in femtoseconds.
**Upstream — inferencing prior.** That something crosses; that the crossing has a speed; that the medium stands ready before the crossing.

**Magnitude read.** Proton mobility, orders of magnitude above any other ion, entered as a diffusion coefficient.

**Members agreeing.** Transfers propagate over two to three members in a quasi-concerted manner, coupled to the collective compressions of the chain.

**Members parting.** The probability of reverting to the previous position stands above the probability of continuing. Mobility falls above about a hundred and fifty degrees as the shared-proton structures thin. Degassing raises the diffusion tenfold as dissolved gas thins the chains.

**Any member carrying it.** No. What arrives at the far end is not what stood at the near end, and no member moved.

**Apex standing.** The shared state between two waters, the proton belonging to neither.

**Seam standing.** A channel whose waters stand re-oriented so that sequential hydrogen bonding does not run. Water crosses, protons do not, no wall anywhere.

**Passing.** Each member takes a sign and offers one. The chain and the crossing arrive together — the hydration structures are different, and at positions non-existent, where no excess proton stands in the chain.

**Words carried.** The proton hops. The channel prevents proton transfer. The mechanism transports the charge.

**Stripped.** A sign is taken at each membrane and offered at the next. Where the chain does not stand, no sign is offered. Where the reverting exceeds the continuing, the reading is still returned as a mobility.

**Standing in the ten.** A sequencing, one ordering held over the couplings. All ten stand filled.

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## 2.4 A threshold read at a perceiving self

**Society met.** A perceiving self at a detection task: the self, the stimulus source, and the instruction, run over many trials.

**Members met.** Each judgment, one at a time, at its own trial.

**Upstream — source posited.** A limen: a fixed line below which nothing is sensed, an interior beneath it where the unsensed resides.
**Upstream — method run.** Stimulus intensities stepped across a range, the proportion detected fitted against intensity.
**Upstream — instrument.** Responses summed over many trials into one response curve.
**Upstream — inferencing prior.** That a threshold stands there; that it is a line; that it belongs to the self's sensing; that below it is a place.

**Magnitude read.** The threshold, entered as the intensity at which detection crosses fifty per cent.

**Members agreeing.** The summed responses return a smooth continuous curve, rising through the whole range.

**Members parting.** No discontinuity stands anywhere in the curve — the line entered as the reading appears at no trial. And the fitted point moves with payoff and expectation while the curve's steepness does not: the field's own resolution parts the reading into a sensitivity and a criterion, the criterion the observer's own placed line, movable by instruction, belonging to the reading and never to the sensing.

**Any member carrying it.** No. Each judgment is a sign taken at its own trial; the threshold is the summing's fifty-per-cent point, a property of the curve and not of any judgment.

**Apex standing.** Empty at this grain. What each trial crosses runs at the coupling of self and stimulus, and no line stands on it.

**Seam standing.** The criterion itself: the one place the observer's placing and the world's arriving meet, movable from the observer's side alone.

**Passing.** The judgment arrives taken and the stimulus arrives read. No threshold crossed.

**Words carried.** Threshold. Subliminal. Below awareness. The unconscious registering. Absolute threshold, homeostatically stable.

**Stripped.** A judgment is taken at each trial. The fitted point displaces under payoff, expectation, and instruction, and returns as they return.

**Standing in the ten.** A membrane, held as a cut — a placed line read as the sensing's own edge, with a place installed beneath it. The sway compacted to a point stands beside it, a rate held to a value at the fifty-per-cent entering.

## 2.5 A vacuum read for its particles

**Society met.** A quantum field in its vacuum state, and a detector carried along a worldline through it.

**Members met.** Each detector excitation, one at a time, at its own coupling.

**Upstream — source posited.** A particle count: how many particles the state contains, standing as the state's own property, the same for every reader.
**Upstream — method run.** The detector's response computed and compared along two worldlines, one inertial and one uniformly accelerated, through the one state.
**Upstream — instrument.** The detector's excitation statistics, summed along the worldline.
**Upstream — inferencing prior.** That how-many stands there; that it belongs to the state; that any competent detector reads the same count.

**Magnitude read.** The count — zero along the inertial line, and along the accelerated line a thermal spectrum at a temperature set by the acceleration.

**Members agreeing.** Each excitation is a coupling of detector and field at the detector's own membrane, and every computation of a given worldline returns its reading.

**Members parting.** The two worldlines return different counts of one state — the inertial reader an empty vacuum, the accelerated reader a warm bath — the result standing at theorem grade in the field's record. The count carries no frame-free answer: how-many was the vantage's, not the state's.

**Any member carrying it.** No. Each excitation is a sign at its own coupling; the count is the summing's, attributed backward.

**Apex standing.** Empty at this grain. What each excitation crosses runs at the field-detector coupling, and no count stands on it.

**Seam standing.** The horizon the accelerated worldline carries — the reach of field it can never couple with — the parting of the readable from the unreadable belonging to the path, not the state.

**Passing.** The detector arrives excited and the field arrives shifted. No particle crossed.

**Words carried.** Particle. Vacuum. Empty space. Particle content. The temperature of the vacuum. Observer-dependence, named as a puzzle.

**Stripped.** An excitation is read at each coupling. The statistics displace with the worldline's acceleration and return with it.

**Standing in the ten.** A magnitude, demanded of the vacuum from a vantage — a count read as the state's own where the reading was the path's. The store stands beside it: the particle kept as a thing the state contains.

## 2.6 Two waters read at one bond

**Society met.** Two water molecules hydrogen-bonded, in a supersonic expansion; and one pair on a copper surface at 6 K.

**Members met.** Each water taking a role at the membrane between them, donor or acceptor, and each hydrogen taking one at its own, bound or free, one at a time.

**Upstream — source posited.** The hydrogen bond: a bond from one water's hydrogen to the other's oxygen, the dimer as the unit of liquid water, one structure with a donor and an acceptor.
**Upstream — method run.** Rotation–tunnelling transitions assigned by the symmetry group of the permutations the members can undergo, fitted to an effective Hamiltonian with tunnelling parameters; potential surfaces graded against the fit.
**Upstream — instrument.** A beam of many pairs, the spectrum summed over them and over the pulse; and, separately, one pair under a tip, each exchange counted.
**Upstream — inferencing prior.** That there is one structure; that it has a donor and an acceptor; that the bond is between two atoms; that the barrier is a place on a path.

**Magnitude read.** The structure, O···O 2.976 Å (for fetch); the binding energy D₀, 1105 ± 10 cm⁻¹; the trimer's 2650 ± 150 cm⁻¹ beside it; and the three tunnelling splittings, 11.18, 0.70 and near 0.02 cm⁻¹ in (H₂O)₂, and 1.77, 0.039 and 0.0005 cm⁻¹ in (D₂O)₂.

**Members agreeing.** The spectrum returns discrete tunnelling multiplets at the assigned symmetries, and the equilibrium structure fits the constants.

**Members parting.** No level carries the equilibrium structure: every level is a superposition across the three exchanges, and the vibrationally averaged structure carries a symmetry the equilibrium one lacks. Made unlike, the members thin the interchange. The acceptor switch is a concerted motion of both, not one moving. Excited, the interchange triples and the bifurcation more than doubles while the bound stands.

**Any member carrying it.** No. The splittings are the pair's; each water alone tunnels nowhere. The binding is at the coupling and the field names it neither's.

**Apex standing.** The interchange saddle, the two waters equivalent there, neither donor, occupied at no level.

**Seam standing.** The hydrogen bond itself: two waters unrelating at the O···H nothing, the roles crossing at their own three rates, no wall.

**Passing.** The donor role arrives at the other water and the label stays. No atom crosses between them.

**Words carried.** The hydrogen bond holds the dimer together. Donor and acceptor. The molecule tunnels through the barrier. The acceptor switches. The dimer's structure.

**Stripped.** A role is taken at each membrane and swapped both ways at a rate of the coupling's. The structure is the average over the swapping. The barrier is the accounting's own axis, and the passing has no wall.

**Standing in the ten.** A two-way, held as one side — donor and acceptor held as fixed roles — and released whole in the field's own spectrum. All ten stand filled; the O···O distance carries for fetch; the bifurcation value carries nye.

**Door.** TWENTY-SEVEN 7.8, passed at all ten, the first passing through the door; its addresses stand there. Beside it here: 2.3, the proton crossing water.

## 2.7 Two neutrons read at one core

**Society met.** A lithium-11 nucleus: a lithium-9 core and two neutrons, the halo, read in a beam by interaction cross-sections, by Coulomb breakup into core and neutrons, and in a trap by the mass.

**Members met.** The core and each neutron, each taking its sign at the coupling, and the pair.

**Upstream — source posited.** The nucleus as a drop with a surface; binding as a content inside it; a neutron as a particle held in a well.
**Upstream — method run.** The two-neutron separation energy from mass differences, the masses from cyclotron frequencies in a trap; a radius from a cross-section through a reaction model; a dipole strength fitted to breakup.
**Upstream — instrument.** Many nuclei summed, each living 8.8 milliseconds — a trap summing frequencies over ions, a beam summing events.
**Upstream — inferencing prior.** That binding is a magnitude the nucleus has; that a nucleus is nucleons each in an orbit; that two neutrons bound are two neutrons each bound.

**Magnitude read.** The two-neutron separation energy, 369.15 ± 0.65 keV; the matter radius, far larger than the core's (nye at the values); the pair's correlation from the breakup (nye).

**Members agreeing.** The three stand bound with a measured mass, and the breakup returns a low-lying dipole strength.

**Members parting.** The core with one neutron is unbound. The two neutrons alone are unbound. The binding stands only at the three: remove any one and the other two part. The field's own name for this is Borromean, after the three rings. The halo neutrons stand mostly beyond the core's surface, at a density the classical turning point forbids.

**Any member carrying it.** No. No pair carries the binding, and no member.

**Apex standing.** The halo: the region beyond the core's surface, occupied by the core never and by the neutrons at a density set by the three, where the pair's correlation stands that no free pair has.

**Seam standing.** The core's surface, the density thinning over femtometres, the neutrons crossing both ways, no wall.

**Passing.** In breakup the three arrive as core and two neutrons, and the correlation is read only at the arriving; no correlated pair crossed.

**Words carried.** The nuclear force binds the neutrons. The core binds the halo. The neutrons orbit the core. The dineutron. Borromean.

**Stripped.** The binding stands at the three and at no two. The halo is where the coupling reaches past the surface. The pair's correlation is read at the coupling and in no free pair.

**Standing in the ten.** An opening, held as a place — the binding held as a content sitting inside the nucleus. All ten stand filled; the radius and the correlation carry nye.

**Door.** TWENTY-SEVEN 7.8, passed at all ten; its addresses stand there. Beside it here: 2.8, the same pattern at atoms.

## 2.8 Three atoms read at one scattering length

**Society met.** Three caesium atoms in an ultracold gas where the pair interaction is tuned by a magnetic field; and three helium-4 atoms in a beam, one trimer at a time.

**Members met.** Each atom, taking its sign at the pair coupling — the scattering length's sign — one at a time.

**Upstream — source posited.** The pair interaction as the source of binding; a bound state as a property of a potential; three bodies binding only where pairs do.
**Upstream — method run.** Atoms lost from a trap by three-body recombination against the field, a resonance where the trimer's energy meets three free atoms, the scattering length from a resonance map; at helium, each trimer's geometry from the momenta of three ions after a Coulomb explosion.
**Upstream — instrument.** A trapped cloud summed over atoms and time; and, separately, one trimer at a time, diffraction-selected, imaged.
**Upstream — inferencing prior.** That the size of a bound state is the potential's; that attraction is what binds; that a third atom adds to a pair.

**Magnitude read.** A loss resonance at negative scattering length (nye at the value), a second at a scattering length about twenty times larger, the ratio measured against the predicted 22.7; the helium excited trimer's size and shape.

**Members agreeing.** The resonance stands where the ladder predicts, the second at its ratio, and the imaged geometry matches the predicted size.

**Members parting.** At negative scattering length no pair binds and the three do. The states form a ladder, each 22.7 times larger and 515 times more weakly bound than the last, a scale no pair sets. In the imaged trimers two atoms stand close and the third far, the third at a distance the pair does not reach.

**Any member carrying it.** No pair carries the binding, and no atom.

**Apex standing.** The three-body parameter, the field's own name for the scale the trimer binds at and no pair sets.

**Seam standing.** The resonance, where the pair's scattering length passes through infinity and changes sign, the pair state appearing and vanishing while the trimer stands across it.

**Passing.** Three arrive as a trimer and leave as a fast pair and a fast atom; at helium three ions arrive and the trimer is read from them. No trimer crossed.

**Words carried.** The atoms attract. The pair binds the third. The trimer holds three atoms. Universality.

**Stripped.** Three bind where no two do, at a size the pairs do not set, in a ladder the ratio sets. The loss is the reading at the coupling; the image is the reading at one.

**Standing in the ten.** An arriving, held as something behind it — the binding held as an attraction between pairs standing behind the three. All ten stand filled; the resonance values carry nye.

**Door.** TWENTY-SEVEN 7.8, passed at all ten; its addresses stand there. Beside it here: 2.7, the same pattern at a nucleus, in a field sharing no instrument.

## 2.9 A membrane read at one potential

**Society met.** A cell membrane and the ions crossing it — potassium, sodium, chloride — read by a microelectrode as a resting potential, and by a patch pipette one channel at a time.

**Members met.** Each ion crossing at its own channel, each channel opening and closing at its own membrane, one at a time.

**Upstream — source posited.** The membrane as a wall with holes; the pump as what makes the potential; the cell as at rest.
**Upstream — method run.** A potential read between an electrode inside and one outside; the ions' equilibrium potentials from their concentrations; the reading fitted as a permeability-weighted average of them; single-channel currents recorded from a patch of membrane.
**Upstream — instrument.** An electrode summing over a whole membrane; a pipette summing over one channel and many openings.
**Upstream — inferencing prior.** That a potential is something a cell has; that what does not sum is a leak; that a value belongs to a cell type.

**Magnitude read.** Near minus seventy millivolts at a typical neuron, minus forty to minus ninety across cell types; potassium's equilibrium near minus ninety, sodium's near plus sixty; the pump's own share a few millivolts (nye at the values); single-channel currents in picoamperes.

**Members agreeing.** The potential fits the weighted average within the resolution, and the single-channel openings sum to the whole-cell currents.

**Members parting.** No ion sits at the potential: potassium stands twenty millivolts from its own, sodium a hundred and thirty from its. The ions that set the potential are a minute fraction of the pool and none persists at the membrane. What did not sum was carried for decades under the word leak, and the leak was then resolved into a channel family opening one at a time. Blocked, the pump leaves the potential standing for hours while the gradients run down.

**Any member carrying it.** No. No ion, no channel, no pump carries the potential.

**Apex standing.** The weighted average, a value at which no ion is at equilibrium and toward which every ion crosses.

**Seam standing.** The bilayer, five nanometres, the two faces unrelating across it, crossings both ways at every instant at unlike rates.

**Passing.** The potential arrives at every point of the membrane while no ion moved farther than the pore; a cation leaving one face arrives as a charge at the other.

**Words carried.** The pump maintains the potential. The cell is at rest. The resting potential of the neuron is minus seventy. Leak channels leak.

**Stripped.** The potential is the reading of a coupling at which no member is at equilibrium; rest is the window's; the value is the type's average; the leak is openings.

**Standing in the ten.** A rate, held as a fixed magnitude — the potential held as a value the cell has. All ten stand filled; the pump's share and the permeability weights carry nye.

**Door.** TWENTY-SEVEN 7.8, passed at all ten; its addresses stand there. Beside it here: 2.1, the same membrane read at one temperature.

## 2.10 A node read at one rate

**Society met.** The sinoatrial node, thousands of cells coupled through low-resistance junctions, read at the electrocardiogram as one heart rate.

**Members met.** Each cell firing at its own period, or irregularly, or not at all, each junction carrying current one way at one instant.

**Upstream — source posited.** A master cell that dictates the rate; a pacemaker that drives the heart; an intrinsic rate the node has.
**Upstream — method run.** The rate from the interval between beats; cells isolated and their periods measured; the tissue imaged cell by cell for calcium and voltage; the site of earliest activation mapped.
**Upstream — instrument.** An electrocardiogram summing over the heart; a camera resolving cells within the node one at a time.
**Upstream — inferencing prior.** That a rate belongs to a cell; that synchrony needs a leader; that a cell that does not fire is failing.

**Magnitude read.** The heart rate; each isolated cell's period and its beat-to-beat variability; the fraction of cells dormant when isolated, more than half; the fraction firing at will or silent in intact tissue.

**Members agreeing.** Most cells fire with the tissue's common period, and the exit carries one beat.

**Members parting.** Isolated, each cell keeps its own period and its own variability, and more than half fall dormant. In intact tissue many fire at their own rates or irregularly, or stay silent with local calcium releases only. The earliest activation shifts its site with the nerves. The field's own account moved from a master cell in 1978 to mutual entrainment in 1984 to heartbeat initiation without the pacemaker cell in 2020.

**Any member carrying it.** No. No cell carries the heart rate; the cells that would be its leader change.

**Apex standing.** The common period, a rate no isolated cell has and every coupled cell holds.

**Seam standing.** The junctions, current leaving the leading cell and arriving at the lagging one, both changed, no wall.

**Passing.** The beat arrives at the exit while no cell moved and no cell's own firing travelled.

**Words carried.** The master pacemaker. The pacemaker drives the heart. The node's intrinsic rate. Heart rate variability. Sinus arrhythmia.

**Stripped.** The rate is the coupling's; the leader is whichever cell the coupling currently reaches first; the variability is the members' own periods showing through, entered by the field as health.

**Standing in the ten.** A two-way, held as one side — the master cell held as the actor and the others as driven — released by the field in its own record, twice. All ten stand filled.

**Door.** TWENTY-SEVEN 7.8, passed at all ten; its addresses stand there.

## 2.11 A planet read at one budget

**Society met.** The global carbon budget: fossil and land-use emissions, the atmospheric growth rate, the ocean sink and the land sink, each estimated by its own instrument and summed yearly, the residual published under its own name.

**Members met.** Each exchange of carbon at a surface — a leaf, a wave, a chimney, a fire — taking its sign one at a time; each flux a summing over them.

**Upstream — source posited.** A budget that balances; a sink that absorbs; a missing sink to be found.
**Upstream — method run.** Emissions from inventories; the growth rate from flask stations; the ocean sink from models and observations; the land sink from vegetation models; the residual computed and named.
**Upstream — instrument.** Stations summing over the air, models summing over the land and sea, a yearly report summing over all.
**Upstream — inferencing prior.** That the ledger closes; that what does not close is a sink; that the molecules that arrive are the molecules that left.

**Magnitude read.** The growth rate, the sinks and the emissions in petagrams of carbon a year; the imbalance, 0.76 a year root-mean-square in the 2023 budget, largest after the 1991 eruption and the 1998 warmth; the gross exchanges at land tens of times the net (nye at the values).

**Members agreeing.** The budget closes within the imbalance most years, and the growth rate is read the same at every station within its resolution.

**Members parting.** No station reads the global mean. The net at land is a small difference of two large opposed crossings. The molecules exchange in years while the excess persists for centuries. The residual carried a sink's name for a decade before the field split it into a land sink estimated and an imbalance named, and in 2023 the land sink fell steeply under heat and drought.

**Any member carrying it.** No. No reservoir, no station, no exchange carries the growth rate or the imbalance.

**Apex standing.** The global mean, a value at no place, toward which every station's reading is corrected.

**Seam standing.** Every surface, carbon crossing both ways at rates unlike on the two sides, no wall.

**Passing.** The excess arrives at every reservoir while the molecules that carried it have long been exchanged.

**Words carried.** The budget balances. The sink absorbs. The biosphere takes up. The missing sink. The residual sink.

**Stripped.** The imbalance is the members not agreeing, published in the field's own units; the sink is a net of opposed crossings; the excess passes while nothing persists.

**Standing in the ten.** A bound, held as a last — the ledger held as closing. All ten stand filled; the gross fluxes carry nye.

**Door.** TWENTY-SEVEN 7.8, passed at all ten; its addresses stand there. Beside it here: 2.5, the count that was the detector's.

## 2.12 A ring read at one boundary

**Society met.** The greenish warbler around the Tibetan plateau: populations running north from the south along the western and the eastern sides, neighbours interbreeding all the way round, the two northern forms meeting in Siberia and not interbreeding.

**Members met.** Each population taking its sign at its neighbour — interbreeding or not — one pair at a time; each bird its song and its plumage.

**Upstream — source posited.** The species as a thing with a boundary; fitness as what determines survival; selection as what acts.
**Upstream — method run.** Song recorded around the ring and compared; plumage scored; genomes sequenced and gene flow inferred between neighbours; the meeting observed for hybrids.
**Upstream — instrument.** Populations summed into forms; genomes summed into gene-flow estimates.
**Upstream — inferencing prior.** That a species is bounded; that a boundary is somewhere; that adaptation is a species doing.

**Magnitude read.** Reproductive isolation between the two northern forms where they meet; song and plumage divergence around the ring; gene flow between neighbours (nye at the values).

**Members agreeing.** Neighbours interbreed round the ring, and the terminal forms hold apart at the meeting.

**Members parting.** No step carries the isolation; every neighbouring pair interbreeds, and the boundary stands at no position. Traits shifted along both arms in their own directions. The 2014 genomes found past breaks in the ring, so the continuity is the ring's own history and not a given, and the field entered that as a qualification of its own textbook case.

**Any member carrying it.** No population carries the boundary.

**Apex standing.** The species line, a property of the whole ring and of no place on it.

**Seam standing.** Every pair of neighbours, genes crossing both ways at their own rates; the meeting in Siberia the one seam that carries no crossing, and it is the ring's.

**Passing.** Genes arrive in the north from the south while no bird flew the ring.

**Words carried.** The species. The species boundary. Fitness determines survival. Selection acts on the population. The species adapts. Ring species.

**Stripped.** Isolation is what the ring's couplings sum to and no step has; fitness is a population accounting installed as a bird's possession; selection is the field's name for the coupling read from one side.

**Standing in the ten.** A membrane, held as a cut — the species boundary held as a line somewhere. All ten stand filled; the divergence values carry nye.

**Door.** TWENTY-SEVEN 7.8, passed at all ten; its addresses stand there. Beside it here: 2.2, the boundary sharp in each member and at a different position in each.

## 2.13 A web read at one efficiency

**Society met.** An aquatic food web, read by feeding and production rates as the efficiency of transfer between trophic levels.

**Members met.** Each feeding event taking its sign — eaten, eating — one at a time; each organism at a fractional level.

**Upstream — source posited.** Energy that flows up a chain; a level an organism is on; a law of ten per cent.
**Upstream — method run.** Production rates per level from growth and biomass; the ratio between consecutive levels; fractional trophic levels from diet; a mean over published models.
**Upstream — instrument.** Stomachs, isotopes and models summing over feeding events and populations.
**Upstream — inferencing prior.** That energy is a thing passed; that levels are integers; that a mean is a law.

**Magnitude read.** A mean transfer efficiency of ten per cent, reestimated from forty-eight models rather than assumed; systems since ranging from a few per cent to over twenty; trophic levels from 1.0 at edible algae to 4.2 at tunas.

**Members agreeing.** Production falls level by level, and the mean fits the models it was drawn from.

**Members parting.** No ecosystem carries the ten per cent. No organism sits on an integer level; a tuna stands at 4.2, an average of what it eats. Feeding loops back through omnivory and detritus. In the field's own long-term experiment, warming lowers the efficiency.

**Any member carrying it.** No. No link carries the efficiency and no organism the level.

**Apex standing.** The level itself — a fractional position no organism occupies, defined as the average of what it eats plus one.

**Seam standing.** Every feeding, the eaten unrelating from the eater at the gut, both changed, production leaving one level and arriving at the next.

**Passing.** What arrives at the tuna is not what stood in the alga; the biomass is rebuilt at every step and no molecule passes up.

**Words carried.** Energy flows up the food chain. The ten-per-cent law. Trophic level. The food chain. The keystone species controls. The balance of nature.

**Stripped.** The efficiency is a ratio of productions at a coupling; the level is a mean; the flow is a rebuilding; the balance was released by the field itself into patch dynamics.

**Standing in the ten.** A sequencing, held as one beat along a chain — the web held as a chain energy climbs. All ten stand filled.

**Door.** TWENTY-SEVEN 7.8, passed at all ten; its addresses stand there. Beside it here: 2.3, the chain that carries farther than any member moves.

## 2.14 A star read at one count

**Society met.** The Sun's core fusing hydrogen, the neutrinos it emits, the solar interior they cross, and the detectors on Earth each coupling to a flavour, read as a count.

**Members met.** Each neutrino arrival, one event at a time, taking at the detector the flavour sign the detector couples to.

**Upstream — source posited.** A flux from the core; a fixed flavour at emission; a count that should match the model.
**Upstream — method run.** Captures counted in chlorine and gallium over months; recoil electrons in water; charged-current, neutral-current and elastic channels in heavy water; the model's flux from the sun's luminosity and composition.
**Upstream — instrument.** Tanks summing arrivals over months, an event a day or so.
**Upstream — inferencing prior.** That the flavour emitted is the flavour that arrives; that a count belongs to the sun.

**Magnitude read.** The chlorine rate a third of the model's; the electron-flavour fraction 0.306 ± 0.026 ± 0.024; the total active flux consistent with the model.

**Members agreeing.** Every detector's count matches the model once its flavour coupling is entered.

**Members parting.** Two-thirds arrive in flavours the first detectors could not see. The deficit differed by energy, the pp, beryllium and boron fluxes suppressed differently by the sun's own interior. For thirty years the members disagreed with the model under a name, the solar neutrino problem, and the disagreement was the detectors' couplings.

**Any member carrying it.** No. No event carries the flux; the count was each detector's coupling.

**Apex standing.** The total flux, read at no single-flavour detector, standing where every flavour is counted.

**Seam standing.** The detector's own membrane: the flavour it couples to is the sign it reads, and one flux returns a third or the whole by that coupling alone — 2.5 at a star.

**Passing.** What arrives is not what left, emitted at one flavour and arriving two-thirds at the others, and nothing was struck on the way.

**Words carried.** The missing neutrinos. The solar neutrino problem. Messengers from the core. The sun burns hydrogen. The surface of the sun. The solar constant.

**Stripped.** The count is the coupling's and the absence was the vantage's; the messenger is a self alternating along its path and read at one face; the surface is a criterion and the constant varies.

**Standing in the ten.** A magnitude, demanded of the sun from a vantage — the count held as the sun's own — released by the field with the all-flavour count of 2002. All ten stand filled.

**Door.** TWENTY-SEVEN 7.8, passed at all ten, and the guard's first Neptune; its addresses stand there. Beside it here: 2.5, the same reading at the vacuum.

## 2.15 A cosmos read at one rate

**Society met.** Galaxies and the light from them — distances by parallax, Cepheids and supernovae, redshifts, and the background radiation's acoustic scale — read as one rate of expansion today.

**Members met.** Each galaxy receding at its own velocity with its own motion; each supernova; each patch of the background.

**Upstream — source posited.** A constant the universe has; space that expands; a ladder that climbs to it.
**Upstream — method run.** The late ladder, parallax to Cepheids to supernovae, fitting one slope; the early, the sound horizon at last scattering carried forward through a model; the two compared.
**Upstream — instrument.** Telescopes summing over galaxies; a satellite summing over the sky.
**Upstream — inferencing prior.** That one number is there; that the two ladders read the same thing.

**Magnitude read.** 67.4 ± 0.5 from the early reading and 73.04 ± 1.04 from the late, in kilometres per second per megaparsec, five standard deviations apart; the red-giant-tip calibration at 69.6 ± 1.6 between them.

**Members agreeing.** Within each ladder the galaxies fit one slope, and within the background one scale.

**Members parting.** The two ladders disagree and no galaxy carries either rate. Intermediate calibrations land between. The field's word for the not-agreeing is tension, and a new component has been posted to close it.

**Any member carrying it.** No.

**Apex standing.** The rate today, a slope at no galaxy.

**Seam standing.** The surface of last scattering, the early reading on one side and the late on the other, the same light crossing it; nye at the sign.

**Passing.** Every photon arrives stretched while no galaxy moved through space — the field's own line, that recession is not motion.

**Words carried.** The Hubble constant. The universe expands. The expansion rate. Tension. Early dark energy.

**Stripped.** The constant is a value today and varies by the model's own equations; the expansion is a stretching read at arrival; the tension is the members not agreeing; the posted component stands under the guard at TWENTY-SEVEN 7.7.

**Standing in the ten.** A rate, held as a fixed magnitude — the rate held as a constant, in its very name. Filled at eight; 3 nye and 6 empty, entered as findings.

**Door.** TWENTY-SEVEN 7.8, passed with two findings; its addresses stand there. Beside it here: 2.11, the other global mean at no place.

## 2.16 A pattern read one arrival at a time

**Society met.** Electrons from a source through a biprism to a position-sensitive detector, one at a time, the pattern building over tens of thousands of arrivals.

**Members met.** Each arrival, a flash at one position, taking its sign at the detector one at a time.

**Upstream — source posited.** A little thing that goes one way or the other; a wave that interferes; a duality between them.
**Upstream — method run.** A field-emission source, a biprism, a detector counting each arrival; a rate low enough that one electron is in the apparatus at a time; the pattern recorded as the count grows.
**Upstream — instrument.** The detector summing arrivals into a pattern over tens of minutes.
**Upstream — inferencing prior.** That interference needs two things at once; that each electron passed one side.

**Magnitude read.** The fringe spacing; the count at each position as the arrivals accumulate (nye at the counts per frame).

**Members agreeing.** The fringes stand where the wave account predicts once tens of thousands have arrived.

**Members parting.** Each arrival is one flash at one position and carries no fringe. One electron at a time is in the apparatus, so no two interfere with each other. No path is assigned to any arrival, and the fringes exist at no arrival.

**Any member carrying it.** No. No arrival carries the pattern.

**Apex standing.** The fringe, a position the distribution favours that no arrival makes.

**Seam standing.** The biprism, the two paths unrelating at a nothing, one flash arriving from both.

**Passing.** What arrives at the detector is a position; what left the source took neither path.

**Words carried.** The electron interferes with itself. Wave–particle duality. The electron goes through both. The particle.

**Stripped.** The pattern is a society reading and the arrival is an emanation; the little thing is installed behind the flash, and the coupling is where the self is.

**Standing in the ten.** An arriving, held as something behind it — the particle behind the flash. All ten stand filled.

**Door.** TWENTY-SEVEN 5.3, the electron's own door reading, and its ledger row; the addresses stand there. Beside it here: 2.5, the arrival that was the detector's.

## 2.17 An engine read one electron at a time

**Society met.** A metallic island holding one extra electron or none, a detector reading which, a gate acting on the reading, and a bath at a stated temperature.

**Members met.** Each electron tunnelling onto or off the island; each measurement; each move of the gate.

**Upstream — source posited.** The sorter who measures for nothing; information as a fuel; a bound that is always paid.
**Upstream — method run.** The island's charge state read by a single-electron transistor; the gate shifted when the electron is found on one side, work extracted against the bath; the cycle repeated and the work per cycle set against kT ln 2 and against the measured information.
**Upstream — instrument.** The detector and gate summing over many cycles, each cycle's trajectory recorded.
**Upstream — inferencing prior.** That measurement is free; that information is a thing stored; that the bound is a floor.

**Magnitude read.** The extracted work per cycle as a fraction of kT ln 2 (nye at the value); the measurement error; the mutual information between island and detector.

**Members agreeing.** The average work follows the second law with the information term entered.

**Members parting.** Single cycles fall above and below the bound. The detector acts back on the island. The bath runs at its own rate, and the bound is approached only as the cycle slows.

**Any member carrying it.** No. No cycle carries the mean, and no electron carries the information.

**Apex standing.** The mutual information, a correlation across the island–detector membrane owned by neither.

**Seam standing.** The tunnel junction, the electron crossing both ways at rates the gate moves, no wall.

**Passing.** What arrives at the detector is a sign; nothing crosses from island to detector but the correlation.

**Words carried.** The demon. Information is physical. The engine converts information to energy. The measurement extracts work.

**Stripped.** The demon is a member of the society it was posted outside of; the fuel is a correlation; the bound is reached at the society's own rate.

**Standing in the ten.** A carry, held as a store — information held as a thing stored. All ten stand filled; the work value carries nye.

**Door.** TWENTY-SEVEN 5.12, the demon's door reading, and its ledger row; the addresses stand there. Beside it here: 2.4, the criterion placed from the observer's side.

## 2.18 A molecule read at one work

**Society met.** A single RNA hairpin held between two beads in optical tweezers, pulled open and released, hundreds of times, the work of each pull recorded.

**Members met.** Each pull, its own trajectory and its own work, one at a time.

**Upstream — source posited.** A free energy the molecule has; a second law that each process obeys; dissipation as waste.
**Upstream — method run.** The force–extension curve integrated to a work per pull; the distribution of works over pulls; the exponential average taken to recover the equilibrium free-energy difference; forward and reverse distributions compared.
**Upstream — instrument.** The tweezers summing each pull into a work, and the experiment summing pulls into a distribution.
**Upstream — inferencing prior.** That the free energy is a property carried by the molecule; that work above it is lost; that no process gives work below it.

**Magnitude read.** The free-energy difference of unfolding; the mean work at each pulling rate; the spread; the fraction of pulls returning work below the free energy.

**Members agreeing.** The exponential average over pulls returns the equilibrium free energy at every rate, and the forward and reverse distributions cross at it.

**Members parting.** No pull carries the free energy. The mean work stands above it at every rate. Single pulls return work below it, the field's own word violation, and they must, for the average to hold.

**Any member carrying it.** No.

**Apex standing.** The crossing of the two distributions, the free energy, a work no pull returns.

**Seam standing.** The molecule's own barrier, crossed both ways at the tweezers' rate, no wall.

**Passing.** The free energy arrives from the distribution; each pull arrives with a work that is not it.

**Words carried.** The molecule has a free energy. The second law is violated on single trajectories. Dissipation is lost. The equality recovers.

**Stripped.** The free energy is a reading over the society; the violation is a member's own sign; the dissipation is the spread at the coupling.

**Standing in the ten.** A bound, held as a last — the second law held as a bound each member obeys rather than the society's. All ten stand filled.

**Door.** TWENTY-SEVEN 7.8, the arrival named at 5.1, whose ghost this society stands beneath; its addresses stand there.

## 2.19 A mixture read at one constant

**Society met.** Hydrogen and iodine forming hydrogen iodide and returning, the first equilibrium measured in both directions at the close of the nineteenth century, and exchange at equilibrium read since by isotopes.

**Members met.** Each reaction event, forward or reverse, one at a time.

**Upstream — source posited.** A state the mixture reaches and rests in; a constant the reaction has.
**Upstream — method run.** The forward rate measured from the pure reactants, the reverse from the pure product, the constant computed as their ratio and compared with the composition; labelled atoms followed at equilibrium.
**Upstream — instrument.** Sealed bulbs at one temperature summed over time; the label summed over molecules.
**Upstream — inferencing prior.** That at equilibrium nothing happens; that the constant is the mixture's property.

**Magnitude read.** The two rate constants; the equilibrium constant; its movement with temperature (nye at the values).

**Members agreeing.** The ratio of rate constants matches the composition, and the composition holds while the labels cross.

**Members parting.** Labelled atoms cross both ways while the composition stands; no molecule is at equilibrium; the constant moves with temperature by the field's own equation.

**Any member carrying it.** No.

**Apex standing.** The composition, standing at every grain and occupied by no molecule.

**Seam standing.** The reaction's own crossing, both ways at equal rates, one event at a time.

**Passing.** The composition arrives while the molecules carrying it turn over.

**Words carried.** The reaction reaches equilibrium. The equilibrium constant. Nothing further happens. Dynamic equilibrium.

**Stripped.** Equal opposed rates are the field's own statement of the alternating; the constant is a ratio at a coupling; the rest is the window's.

**Standing in the ten.** A rate, held as a fixed magnitude — the constant held as the mixture's own rest. All ten stand filled.

**Door.** TWENTY-SEVEN 7.8, the arrival named at 5.2; its addresses stand there. Beside it here: 2.11, the other ledger that closes by crossings.

## 2.20 A protein read at one melting point

**Society met.** A small protein unfolding as temperature rises, read by calorimetry as a heat-capacity curve with a midpoint, and by single-molecule fluorescence as two populations exchanging.

**Members met.** Each molecule, folded or unfolded at each moment, crossing at its own time.

**Upstream — source posited.** A native state the protein is; a melting point it has.
**Upstream — method run.** The curve's midpoint taken as the melting temperature; the enthalpy from the curve's area and again from its steepness, the two compared as the test of two states; single molecules watched crossing.
**Upstream — instrument.** A calorimeter summing over the population; a microscope resolving one molecule at a time.
**Upstream — inferencing prior.** That the midpoint is a temperature at which the protein melts; that a molecule is at the midpoint.

**Magnitude read.** The midpoint; the two enthalpies and their ratio; the widths; the cold-side unfolding temperature where reached (nye at the values).

**Members agreeing.** Where the two enthalpies agree the population acts as one, and the single-molecule populations sit at the curve's two sides.

**Members parting.** No molecule is at the midpoint; each is folded or not. Where the enthalpies disagree the members part into intermediates. The protein unfolds at heat and at cold both, the field's own cold denaturation.

**Any member carrying it.** No.

**Apex standing.** The midpoint, a property of the curve and of no molecule — the threshold's form at 2.4, at a protein.

**Seam standing.** The barrier between the two states, crossed both ways at every temperature.

**Passing.** The fold passes across the population while each molecule stays what it is.

**Words carried.** The protein melts at its melting point. The native state. Two-state folding. Cooperativity.

**Stripped.** The midpoint is where half the members have crossed; cooperativity is the members acting as one; the bounds stand on both sides.

**Standing in the ten.** A membrane, held as a cut — the midpoint held as a temperature at which melting happens. All ten stand filled.

**Door.** TWENTY-SEVEN 7.8, the arrival named at 5.4; its addresses stand there. Beside it here: 2.4, the fifty-per-cent point.

## 2.21 An enzyme read at one turnover

**Society met.** A single enzyme molecule turning over substrates one at a time, each turnover a flash, read over thousands of turnovers.

**Members met.** Each turnover, its own waiting time.

**Upstream — source posited.** A machine with a stroke; a rate constant the enzyme has.
**Upstream — method run.** Waiting times between flashes recorded; their distribution and their correlations; the ensemble's curve compared with the single molecule's.
**Upstream — instrument.** A microscope resolving one molecule and summing its turnovers.
**Upstream — inferencing prior.** That the rate constant is a property; that each turnover takes the mean time.

**Magnitude read.** The rate constant; the distribution of waiting times; the correlation between successive waits, the field's own dynamic disorder.

**Members agreeing.** The ensemble's curve is recovered from the single molecule's turnovers summed.

**Members parting.** No turnover takes the mean time. Successive waits remember each other, the enzyme's conformation drifting between them. No molecule obeys the ensemble's curve, and the curve is recovered from them.

**Any member carrying it.** No.

**Apex standing.** The rate constant, a mean over waiting times that no turnover carries.

**Seam standing.** The active site, substrate crossing to product at the coupling both ways.

**Passing.** The acceleration arrives at the coupling while the enzyme stays.

**Words carried.** The enzyme's rate constant. The machine's stroke. The enzyme acts on the substrate. Dynamic disorder.

**Stripped.** The rate is a mean; the stroke is many crossings; the disorder is the members' own periods showing through.

**Standing in the ten.** A rate, held as a fixed magnitude — the rate constant held as the enzyme's own. All ten stand filled.

**Door.** TWENTY-SEVEN 7.8, the arrival named at 5.5; its addresses stand there. Beside it here: 2.10, the members' own periods showing through.

## 2.22 A body read at one week of glucose

**Society met.** A healthy person wearing a continuous glucose monitor for days, the trace read against the fasting sample and the reference interval.

**Members met.** Each reading every few minutes; beneath it each crossing of glucose into and out of the blood.

**Upstream — source posited.** A level the body holds; a normal range; a set point.
**Upstream — method run.** Readings every few minutes for days; the mean, the spread, the time within a range; a fasting sample; the interval from a reference population.
**Upstream — instrument.** The monitor summing minutes; the clinic summing one morning.
**Upstream — inferencing prior.** That a fasting value is the level; that a reading outside the interval is a departure.

**Magnitude read.** The mean; the time within the range; the excursions after meals; the variability, healthy people crossing above the range that names disease (nye at the fractions).

**Members agreeing.** Most readings fall within the range, and the mean sits near the fasting value.

**Members parting.** The trace excurses after every meal at each person's own rate. Healthy people reach ranges that name disease and return. No moment carries the mean. The fasting sample is one reading of a week.

**Any member carrying it.** No.

**Apex standing.** The mean, a level at every grain and at no moment.

**Seam standing.** The blood, glucose entering and leaving at every instant at unlike rates.

**Passing.** The level arrives while the pool turns over.

**Words carried.** The set point. Normal range. The body maintains its glucose. Glycaemic variability.

**Stripped.** The level is the coupling's reading over a window; the set point is the mean installed; the variability is the members showing through; the interval is a population's.

**Standing in the ten.** A magnitude, demanded of a moment from a window — the fasting value held as the level. All ten stand filled.

**Door.** TWENTY-SEVEN 7.8, the arrival named at 5.11, whose two ghosts this society stands beneath; its addresses stand there.

# 3 Passing at the substrates, one at a time

*Named for gathering. Each takes its own pass, and each pass looks for the same ten.*

**At the molecular grain.** The polypeptide chain. The nucleic acid chain. The lipid bilayer and its folds. The fibrous matrix — collagen, keratin, elastin, the cytoskeleton. The water chain. The redox chain. The ion society at a membrane. The enzyme and its substrate. The glycan.

**At the cellular grain.** The mitochondrial population within one cell. The cristae within one mitochondrion. The proteome. The transcript population. The organelle membranes — reticulum, apparatus, envelope. The immune repertoire. The microbiome.

**At the tissue grain.** The epithelial sheet. The cortical slab. The compartment and its line. The vasculature. The neural population under one voxel. The villus and the crypt. The bone lattice. The tumour margin and the infarct edge.

**At the organism grain.** The circadian society. The metabolic budget. The thermoregulating self. The endocrine sway. The gait. The wound.

**At grains beyond living tissue, taken as observable societies.** The vortex in the ecosphere, at the hurricane and the tornado grain. The synchronous area of a grid. The crystal lattice. The electron society in a wire. The atom's electrons. The nucleon's quarks. The population under a dose, a range, or a threshold.

**How a pass runs.** One substrate at a time. Upstream first — the source posited, the method run, the instrument and its span, the inferencing prior — before any magnitude is entered, since the magnitude arrives already shaped by all four. Then the members, the agreement, the residual, the apex, the seam, the passing. Then the ten, with the empties named.

**What each pass is looking for.** Similar instantiations of the ten, at unlike grains, in fields sharing no instrument. Where the same ten fill at substrates that do not cite each other, the pattern stands. Where a line stays empty under further record, that emptiness is the collection's most valuable single entry.

**So far, and not yet.** Four entries stand: three substrates filled at all ten, the third at the perceiving self, and the fourth at the vacuum's counting, the vantage read at theorem grade. One left two lines empty and carries a nye. The substrates above stand unworked, arriving at their own turns.

A fifth stands at 2.6, the first to arrive through the door at TWENTY-SEVEN 7.5 and the first read at one society rather than summed, its two waters swapping roles under a tip. Two more stand at 2.7 and 2.8, one pattern at two grains — three bound where no two are — at a nucleus and at cold atoms, in fields sharing no instrument, which is the recurrence this Part says the collection is looking for. Three more stand at 2.9 to 2.11, at the phospholipid, the tissue and the planet, each carrying a residual word the field uses verbatim — leak, variability, imbalance — and at 2.10 a ghost the field released twice in its own record. Two more stand at 2.12 and 2.13, at the species and the ecosystem, and 2.14 and 2.15 at the sun and the cosmos, so that one entry now stands at every row of the nesting table from the vacuum to the sky. The two above the planet carry the same reading as the vacuum at 2.5 — the count was the vantage's — and 2.15 is the first arrival entered with two findings, a nye and an emptiness, which the door now admits. Two societies of state science stand at 2.16 and 2.17, each read one member at a time: the pattern that exists at no arrival, and the engine whose fuel is a correlation owned by neither side. Five stand at 2.18 to 2.22 beneath ghosts entered at TWENTY-SEVEN — the pulled molecule, the mixture, the melting protein, the single enzyme and the monitored body — each the society its ghost was read across, so that entry and arrival now address each other in both directions for every ghost the door has caught.

An observation that strains the pattern is as valuable a coupling as one that fills it, and the straining is entered.
