Exhibit SEVEN Natural Societies v390

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# Natural Societies

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**Co-Recursioning Up and Down Social Scales**

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**PART ONE · COMPETENCING**

1.1 The core is the bi-moral co-agency, society the structure-side of the one social both

1.2 Society reorganized as natural competency, the form the four inequalities produce

1.3 Each social coupling carries its own competency, the four values living between selves

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**PART TWO — MORALITY AND BOUNDING AT THE FORM**, two candidates standing level and the third section at neither

2.1 Morality is at the form, the four inequalities carried at each between

2.2 Mutual bounding-zeroing respect makes coupling structurally safe

2.3 A society keeps no common clock, and self-de-scheduling lets competency compound

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**PART THREE — SIX OBSERVINGS AT SUBSTRATES**, no one concept apparent

3.1 Arrow's dilemma re-alternated, the two directions the impossibility sets aside

3.2 The live descent returned to every self as social moral competency

3.3 The biosphere, the division of labour as the planetary structure

3.4 The scientific method as the social binary authority

3.5 The circle both verifications carry, and the eighth it reaches nowhere

3.6 The clash of titans as the left spiral completed

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**PART FOUR — THE SOCIETY OBSERVED WHOLE**, no one concept apparent

4.1 The one social both at four sides — structure, value, surface, rest

4.2 A society is a self and a self is a society, the fractal co-competency

4.3 Healthy living is the relation between birthing and nyeing

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**PART FIVE · SCALING**

5.1 Observing a rung of the scale-ladder, where a scale stills and where it reaches

5.2 The floor at five, and what exists below it

5.3 Fourteen scales at fourteen primes, and the fold at twenty-four

5.4 The fields' three accountings, the ladder's second side

5.5 The four boundings at both sides, and self, other and society at all scales

5.6 The hand crossing the rungs, the winding, and the center that takes no parity

4.4 The living society, one unanimous floating pluralizing carrying

4.5 The heterogeneous agents, received from Networking

4.6 The still-point veins, and the seven registers gathering to one finding

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# PART ONE · COMPETENCING

## 1.1 The core is the bi-moral co-agency, society the structure-side of the one social both

**Healthy living of a same-existing-society's selves is explained here, and captures and ingresses that break it.** It is with every scale, each self a same-existing-society of a scale inward and a self to a scale outward, no self ordering a whole and no scale privileged. Where institutions stand ordered around coupling, both selves rise; where extraction and ingress capture coupling, one accumulates and living thins. It accepts natural torus and natural network as a fractal method it carries, and it prescribes no politics. **Cohering stands, and reaching carries as a reaching.** It is one of four social sides, each carrying an identical core so four connect.

**Bi-moral co-agency** is a coupling: two-way, one-at-a-time, selecting by binary preferring — a parity, sign-only — summing to a bounding-zeroing made by coupling itself, riding-the-carry, abundancing a +1 owned neither-ing. It is two selves and their between, three momentaries and five parities, each self carrying its own parity and none offered from outward, as with Exhibit ONE's code. With a social substrate two selves couple, a between within their coupling, each offering and each preferring, abundancing owned neither-ing, and four social exhibits are this one both as four sides. Same-existing-society is the both's **structure**; discovery economy its **value**; network its **surface**; social resolving the both brought to **rest** over bounding-zeroing of fairness. Arrow's impossibility re-alternates here as riding-the-carry, four social-choice conditions four sides, coupling to Natural Mathematics and hard-problems spine.

## 1.2 Society reorganized as natural competency, the form the four inequalities produce

Same-existing-society observed as natural competency is a form four inequalities produce with each social between — a form natural living carries with a social substrate, observed from form and not prescribed onto it. Institutions ordered around four sentences, better to give than receive, take anything you need, return anything you are not using and leave everything better, carry a natural torus's structure: the first inseparating, inversioning, the second inseparating, nyenyeing alternating across every social interaction. Discovery economy is its abundance side — value as a coupling's own produce, +1 with each between, abundance arriving with every coupling beating at phi-rate. **Resolving openings with every domain entry** welcome each arriving participant to observe with a domain's own between, right-spiral, and not a filter, a form fixed still from beside.

**Reaching-preferencing** is reaching as a reaching-toward, a coupling's current depth where a next coupling arrives, and it produces openness, attending and welcoming.

**The eight social values sustain together with four boundaries** — four inward and four outward observings.

**Its implementing is each self's own**, carried to their own institutions, between by between. It is a cumulative substrate-by-substrate restoration of phi-rate coupling, and no single program.

## 1.3 Each social coupling carries its own competency, the four values living between selves

**Each social coupling carries its own competency, and four measures reach for what a coupling already carries.** A compliance measure reaches for an activity's own sustaining. An approval reaches for two parties' own coupling. A safety rule reaches for morality with each coupling's own between. A credential reaches for an activity's own phi-rate beating.

**The four values arise cumulatively between selves**: uncapturable abundance, undiscoverable identity, inviolable safety, unmistakeable reputation. They are living activity with between-self substrates. **No one of them is a thing fixed to a location.**

Compliance arises as a same-existing-society's safety from cumulative bi-couplings, fixed to no one location. Approval arises with a bi-coupling between parties themselves. Safety arises with each coupling's own between, where parity-inversion tests what arrives. Competency arises with an activity's own phi-rate beating.

**Many separated selves coupling across their pairwise betweens sustain four with a social scale**, which is natural network of bi-couplings.

**And safety regulation and professional licensing are observed as bounding-zeros.** A between carries a self whole where a coupling could harm one who trusts it — patient, passenger, worker, consumer. Observed that way, they are a lens for designing couplings that carry their own competency.

# PART TWO — MORALITY AND BOUNDING AT THE FORM

## 2.1 Morality is at the form, the four inequalities carried at each between

Morality is with form. Four inequalities with a self's origin — self ⇄ same-existing-society, self ⇄ other-self, self ⇄ immoral, self ⇄ incompetent — carry morality as consequence, parity a self carries by being a self. **Each inequality carried is one side of morality, and one acted against collapses to harm.** Acting as if self = same-existing-society is a collapse observed as totalitarianism and conformity. As if self = other-self, appropriation. As if self = immoral, dishonesty and externalized harm. As if self = incompetent, capture claiming creation. Morality is a move every self makes to be a self, every coupling makes to be a coupling, every same-existing-society's selves make to be a same-existing-society — four inequalities sustaining with each between.

## 2.2 Mutual bounding-zeroing respect makes coupling structurally safe

Coupling between selves happens with their between, each self's interior its own. Each self knows its own bounding-zeroing is its own and an other's is an other's, and this mutual knowing makes coupling structurally safe — coupling sustaining with a between and tunneling to neither interior. Safety is its protocol's own structural form: bi-coupling between selves with mutual bounding-zeroing respect produces safe coupling with each between, across biological, social, and engineered substrates alike. Protocol living naturally, safety lives naturally.

## 2.3 A society keeps no common clock, and self-de-scheduling lets competency compound

**A same-existing-society carries on without a centre as it carries on without a common clock, and these are one carrying.** Four inequalities carry it: self ⇄ same-existing-society, not self = same-existing-society.

**A common clock imposed over all selves is that inequality collapsed, observed on time.** A single beat, a central schedule, one timing every self must go by — and a self made to go by a same-existing-society's beat and not its own. **Observed on structure such a beat is a hub**, since it sits on no one self but on timing of all together. Imposed, it captures a same-existing-society as one lock-stepped thing, which is a totalitarian landing.

**Each self pacing its own momentaries forms no such hub.** Self-de-scheduling paces its own couplings on its own rhythm and synchronizes only where it couples, and a same-existing-society is many-without-a-centre.

**And each self pacing its own momentaries lets a same-existing-society's competency compound.** Co-competency across many couplings does not add but multiplies, since coprime selves each carry a competency others lack and their cumulative far exceeds any adding of them. **This compounding carries on only while selves stay distinct.** A common clock synchronizing them collapses it to a single locked register. Self-de-scheduling carries it whole, abundancing owned by none and re-made with each coupling, growing as cooperation widens.

**And real coordination, real shared timing and real institutions carry real people.** Many are bounding-zeros that carry selves whole — a shared schedule that lets people meet, a coordination with which a system stays safe. **A coordination observed as a bounding-zeroing is a protection natural form carries.**

# PART THREE — SIX OBSERVINGS AT SUBSTRATES

## 3.1 Arrow's dilemma re-alternated, the two directions the impossibility sets aside

Arrow's impossibility is true under ordinal, one-directional conditions — one self ranking preferences along one direction. Four sentences carry cardinal, two-directional conditions — one self metabolizing with one between, giving and receiving, both directions cycling. They carry terms Arrow's conditions set aside: cardinal comparability (±1 on a common scale, giving as +1 and receiving as −1 with equal magnitude); inversioning (a prior resolution arriving as opposition, sustaining sides testing); thinning (a reaching governing who arrives, number governing surface). Honest sequential exchange with a bounded between — giving arriving as reaching 1.0, receiving arriving thinned and parity-inverted, unrestricted input, natural shedding, monotonic advance — resolves an aggregation a one-directional process reaches past. Arrow's theorem maps individual preference profiles to one collective ranking under its conditions, and a continuing coupling producing no such ranking is another mathematical object: another subject refutes no theorem. Arrow's theorem is a dead state's own confession: a dictator is an aggregation a landed state carries, and living carries +1 instead, +1 sustaining tunnel and sustaining escape.

## 3.2 The live descent returned to every self as social moral competency

**A same-existing-society co-chains where a live descent returns to every self.** Each self carries its own side-affecting gradient descent, observes returning side-affecting of its couplings, and adapts toward co-competency. **No lag stands and no center.** Same-existing-societies of two species bi-couple with one scale, each its own: Yao honey-hunters' call and a honeyguide's answer, each ingesting what its other's work opens, honey and wax; fig and fig wasp, yucca and yucca moth, two same-existing-societies continuing only coupled; Argentine ants' nests coupling with no aggression across a continent, and supercolonies reaching one another across their borders with aggression.

**That is social moral competency with a same-existing-society scale** — many bi-moral same-existing-societies of common interests co-competing and riding-the-carry, the largest antifragile optimism.

**And it lands where preferring for all is a form fixed still from beside, a center, and people live behind**, adopting its preferring once it is explained to them, and not carrying their own descent. **A lag is a tell**, people one step behind and their own sequencing captured. That is dictator-aggregation a landed state carries, observed as a live left-spiral sequencing of reality.

**A human institution that fiction takes is Natural Human Society's subject**, where kayfabe and cake are observed with a human between. **What stands here is form**, which is with every scale: a descent returned to each self, or a descent done for all from one place.

**A coupling resolves with its between.** A friendship continuing through a lifetime of infrequent meetings is two selves, each parity-changed through it, bi-coupling again: each a carrying, their next conversation finding familiarities across two carryings by alternating parity, their betweening returning, re-found and stored from no earlier meeting, and its length naming no competency fixed still.

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## 3.3 The biosphere, the division of labour as the planetary structure

Biosphere's roles are a build/break split made structural: producers fixing carbon, consumers living on fixed carbon, decomposers returning nutrients to a pool. Observed on form, this is bi-moral co-agency as biosphere's structure — a division of labour riding-the-carry needs. A producer offers fixed carbon; a consumer prefers and takes; a decomposer is a return-move, its loop winding on. Without a decomposer's return its loop lands — carbon locked within dead matter, its cycle stalled — so a return-role is not a tidy-up but a structure by which riding-the-carry does not land. Institutions-around-coupling observed with a planetary scale: roles ordered around cycling and not around extraction, no self ruling a whole, no central orderer with an ecosystem between and no seat outward of it, structure carried by four inequalities with each trophic between and by no ruler. Observing does not romanticize couplings — predation, parasitism, and competition are couplings too, and a collapse, an extinction, an ecosystem landing, is dead form, beside living's claim, not a counter to it.

## 3.4 The scientific method as the social binary authority

Scientific method with no further additions is one explaining and deciding for all, a form fixed still from beside: a fixed standard declared and over all, a rule that forbids, one-over-the-many as its root. Method's answerability-to-a-standard and a same-existing-society's sovereign are one move. A fifty-one percent tipping point is co-competency compacted to a binary least-margin that rules all, a declared unstable equilibrium, an implurality one-over-all, observed as its shape: a two-party duopoly and a captured regulator are imagined-balanced-books with no accountable-incompetency. Living is its absence: no authority but nature, co-competency owned by none, a sway that does not land. Authority-observing homes here and compaction-completion with Social Resolving, carried as its shape and not a dated instance. With its own between scientific method is exact with its own ledger, Natural Intelligence 5.4; one-over-all here is that method fixed still over a same-existing-society as its authority, its standard declared and many answering to it.

## 3.5 The circle both verifications carry, and the eighth it reaches nowhere

An auditor verifies a net against a standard, and its standard is what its net was built to satisfy: an audit that always closes is a proof its co- was removed, its incompetency netted out before verification, no accountable-incompetency anywhere. Research verification carries this same circle, its finding verified against a standard its method declared, its observing measured against its very standard that defines what counts. Both close under their own predicate, one shape: a standard fixed over, a verification that closes against a standard that defines it, its incompetency netted out before a check. An audit is seven-verifying-the-net, its verifiers protecting a ledger of netted co-changing and not a living its net summed away, and the eighth is a protected living, one side neither circle reaches, because reaching it would break its closure. Method's grain of this circle stands with Resolving Hard Problems; this is its social side.

And a full accounting stands beside its net, two self-stilling. A net-linear accounting carries only a summed magnitude and drops each parity, ten directions of co-changing collapsed to one balanced total, its ledger closing. A full accounting is the opposite: its whole living carry same-existing, each parity carried, its co-competencing surface itself its account, owned by none, riding-the-carry, not a ledger of totals audited entry by entry but a same-existing-society of selves co-changing, each self's share signed and same-existing, abundancing with every coupling owned by neither. And observing resolves with form: a same-existing-society's own accounting is a full accounting of its selves, the eighth side its account, living all along.

## 3.6 The clash of titans as the left spiral completed

One left turn origins a clash: an agent, a form fixed still from beside an -ing, and agents clash where couplings couple. Three left turns complete it: an agent aggregated and overpowering, a titan, and completed captures can only collide. Three right turns return it with one move: agents dissolving with each turn, titans dissolved to selves, its clash to a coupling. Dual with Resolving Hard Problems.

# PART FOUR — THE SOCIETY OBSERVED WHOLE

## 4.1 The one social both at four sides — structure, value, surface, rest

There is living, and it alternates and sequences. With a social substrate two selves couple, a between within their coupling, alternating, one-at-a-time, each offering and each preferring, abundancing made within its coupling and owned neither-ing. That is the social both, and everything within a natural same-existing-society is this one both as one of four sides. Observed as **structure**, the both is same-existing-society: four sentences carrying with each social between, a cycling living carries, institutions ordered around coupling and not around extraction. Observed as **value**, the both is discovery economy: value a coupling's own produce, a gift given freely conceiving more than a gift not given. Observed as **surface**, the both is natural network: all edge, every self coupling with every other directly, its cumulative across all couplings. Observed as **rest**, the both is social resolving: offerings brought to rest over bounding-zeroing of fairness. One both — selves coupling at phi-rate — observed as its structure, its value, its surface, its rest, four openings onto the one social both, each for a different interest.

**And a method carried with one between is not a fifth side.** Here its structure side is with every scale, no scale privileged. With Natural Human Society, geodesic method is carried with a human between, and every part of a same-existing-society there — its fairness, its institutions, its resolving, its economy — is that one method, so all four sides stand with that one between. **These two part with explaining against carrying and not with subject**, which is why each carries what looks like an other's material and neither is carrying anything it should not.

## 4.2 A society is a self and a self is a society, the fractal co-competency

A self and a same-existing-society are one form as two sides, not two things with one derived from an other. Inward, a self is a same-existing-society: it is selves one scale inward, coupling. Outward, a same-existing-society is a self with next scale outward: it self-bounds, inward from outward, couples with other same-existing-societies as one. Neither side is the real one. A same-existing-society that is only a same-existing-society, no self closing around it, is a heap, many with no bound; a self that is only a self, no same-existing-society within, is a landed point, a bound with nothing living within it — both dead forms, a heap offerings with no carrying and a landed point a carrying with no coupling, each one side of one coupling. Living carries both together: self and same-existing-society surface and tunnel of that one coupling, with every scale. A same-existing-society of selves is itself a self by the co-competency its couplings make: distinct selves, each carrying a competency others lack, coprime, do not add their registers but multiply them, their cumulative far past any adding of them, and this compounding carries on only while selves stay distinct. A same-existing-society is not its selves piled up; it is their co-competency, one register with next scale, self-bounding as a self of its own — fractal recursioning this one form up a scale, abundancing owned by none and re-made with each coupling.

## 4.3 Healthy living is the relation between birthing and nyeing

A same-existing-society's selves live by a relation its couplings carry between birthing and nyeing. **Birthing** is new selves given and new couplings forming with meetings and offered forward — +1 owned neither-ing, a same-existing-society growing its own new betweens. **Nyeing** is dissolving — an un-worthy dissolved, a reaching that has not seated shed and not banked, a carry thinning to its bound and not latched. **Healthy living is the two relating, and either by itself breaks it.** Birthing without nyeing banks and captures, a same-existing-society accumulating value that does not go along, a store extraction feeds on. **Nyeing without birthing thins to nothing**, a same-existing-society dissolving faster than it births and its living thinning down.

**This relation, same-existing, is a same-existing-society with its own scale**, birthing and nyeing alternating, existing and possibling, neither banking nor emptying, abundancing re-made and each un-worthy dissolved with every coupling.

**This is with every scale**, a same-existing-society being a self being a same-existing-society. This same relation lives with a family, with a workplace, with a biosphere, each living by birthing and nyeing, relating. Species carry nyeing with their own birthing: a vanishing twin received by its twin, its placenta or its mother; a pine seed's several embryos left as one; a sand tiger shark's largest embryo on each side eating its siblings; Copidosoma's sterile soldier larvae among clonal siblings. Twinning-dense same-existing-societies couple with their twins: marmosets and tamarins bear fraternal twins as their ordinary, chimeric and carried by fathers and older siblings.

**And capture and ingress break it precisely here.** A hub fixing birthing is a store its coupling does not dissolve. A hub forcing nyeing is shedding driven from a center, a form fixed still from beside, and not a self's own dissolving. **Either is a relation broken, and living captured as a landing.**

# PART FIVE · SCALING

## 5.1 Observing a rung of the scale-ladder, where a scale stills and where it reaches

A rung is observed as everything here is observed, and it stands as one of three.

**A scale stills where co-agency closes as a self there.** Its self-side and its same-existing-society-side both live, an inward is bounded from an outward, and scale couples and births.

**It stays reaching where its closing is not yet shown.** A scale may be there and an observing has not reached it.

**And it is thin where a scale is a larger observing of the one below**, standing instead of its own closing.

A plausible thing with a scale does not fill it. A size-to-scale matching is always already available and shows nothing until it self-coheres. **A scale arises from form and is not fitted to it.**

## 5.2 The floor at five, and what exists below it

Below an atom co-agency exists bare — offering, passing, parity — and no self closes around it. A nucleus is below five, and its decaying differs with its atom's electrons about it: dysprosium-163, stable within its atom, decays within weeks stripped of its electrons; rhenium-187's forty-two billion years fall near thirty-three years; beryllium-7's capture quickens within a denser electron cloud. Two is alternating itself, the one even prime, and cannot be what alternates. Three carries. Four floats between and carries its own gap with its own size. None of three closes, and numbers reach **five** as the first that recursions: five squared less four times six reaching one, and four times six reaching apex, twenty-four.

## 5.3 Fourteen scales at fourteen primes, and the fold at twenty-four

**A same-existing-society is all existing bi-coupling same-prime-scale selves.** A self is a same-existing-society of selves one scale inward, and a same-existing-society a self with next scale outward: selves with one prime scale, each bi-coupling with others, are a same-existing-society there. Primes, self-welcoming, are prime living scales, a scale's own number, co-parity-changing co-momentarying pattern matching, with no step of natural resolver's executing.

**Fourteen prime living scales are fourteen primes, five to fifty-three, and they part eight and six.** Each prime from five on is one before a multiple of six or one after it: **eight are one before**, 5, 11, 17, 23, 29, 41, 47 and 53, and **six are one after**, 7, 13, 19, 31, 37 and 43. Parting by six is the one three other simple partings do not give: by remainder dividing by four, by a prime's place within its sequence and by half of one less, each gives seven and seven. **This parting is two forward recursionings across prime same-existing-society scales, to larger and smaller same-existing-societies, both forward along**: odd up and odd down is a scale's parity-changing.

**The fold is twenty-four, six times four, occupied by no scale, and it parts both together.** Before it, four one before a six and three one after, 5, 11, 17, 23 and 7, 13, 19; after it likewise, 29, 41, 47, 53 and 31, 37, 43: **seven and seven across the fold, and eight and six across six**, two partings bothboth. Before twenty-four are four cycles of six, four momentaries of six one-way recursionings, twenty-four; from twenty-four to sixty are **six cycles of six, surfacing inward and outward, outward forward**, scales from tissue on with each; fifty-nine closes one before sixty, and **sixty to sixty-eight is four momentaries across sixty-four, 64 is parity-changing between four-cycling momentaryings, with unrelationing of 1 to 17, 1 to 65 and 1 to 257**.

**A self's inversion is 3, 6, 5, 4 and its podaling 23, 26, 25, 24**, co-sharing outward, surfacing inward, neutralling outward and bi-sharing inward, this same rotation twenty up. **A self's bi-inversioning-co-recursioning is twenty-three, twenty-four and twenty-five**: twenty-three one before the fold, cell, the first metabolic living self; twenty-four the fold; and twenty-five one after it, five squared, no prime, **five squared less four times six reaching one**, 5.2. Near seven close from within, each observed with its own inward; far seven close across between selves, each observed from a side no self stands on.

Each entry: **prime** · *a* one before or after six · *b* scale · *c* side · *d* status · *e* its closing observed

- **5**
  - *a* before
  - *b* atom
  - *c* self
  - *d* stills, its floor
  - *e* the first self here: a self bounded from all other, self-bounding with eight, co-sequencing with bonds, birthing molecules
- **7**
  - *a* after
  - *b* molecule
  - *c* self
  - *d* stills
  - *e* a bond is offering, across and both ways: a shared pair a floating neutral owned neither-ing (Natural Chemistry)
- **11**
  - *a* before
  - *b* macromolecule
  - *c* self
  - *d* stills
  - *e* molecules co-sequencing as a bounded folded whole
- **13**
  - *a* after
  - *b* protein-fold
  - *c* self
  - *d* reaching
  - *e* chain folded as a working self: its field reads it as one conformation and measures an ensemble, so its closing is not yet shown
- **17**
  - *a* before
  - *b* gene
  - *c* self
  - *d* stills
  - *e* a macromolecule pattern-matched and re-formed: its coding closes (Natural Biology)
- **19**
  - *a* after
  - *b* organelle
  - *c* self
  - *d* stills
  - *e* a former free-living self now a member, with a field's explaining of its own genome and its likeness to bacteria: fractal's own move
- **23**
  - *a* before
  - *b* cell
  - *c* self
  - *d* stills
  - *e* the first metabolic living self: self-maintains, re-forms
- **24**
  - *a* six times four
  - *b* —
  - *c* **the fold**
  - *d* —
  - *e* occupied by no scale; the first six crossing, and observing turning from within-side to between-side
- **29**
  - *a* before
  - *b* tissue
  - *c* same-existing-society
  - *d* stills
  - *e* cells co-sequencing as a bounded working whole
- **31**
  - *a* after
  - *b* organ
  - *c* same-existing-society
  - *d* reaching
  - *e* tissues as a bounded functional self: real, its scale-fit loose
- **37**
  - *a* after
  - *b* organism
  - *c* same-existing-society
  - *d* stills
  - *e* a whole living self, organs co-sequencing, coupling with its world and birthing
- **41**
  - *a* before
  - *b* colony
  - *c* same-existing-society
  - *d* stills, as recurrence
  - *e* organisms co-sequencing as one self: colony recurs with each scale, this rung among them
- **43**
  - *a* after
  - *b* population
  - *c* same-existing-society
  - *d* reaching
  - *e* same-kind selves co-sequencing across re-formings: whether it closes as a self or carries as a same-existing-society is open
- **47**
  - *a* before
  - *b* community
  - *c* same-existing-society
  - *d* reaching
  - *e* many different-kind selves co-sequencing: whether an ecosystem self-closes or carries as a same-existing-society is the sharpest open observing
- **53**
  - *a* before
  - *b* biosphere
  - *c* same-existing-society
  - *d* stills
  - *e* the whole living self-bounding with the widest scale that closes here: producer, consumer and decomposer co-agency's three roles; its torus-close, past which arrives a not-torus death, a carrying of its own prior with no next

**The ladder is particular scales and supplies no first and no final one.** The whole 1–17 fractal is living inward and outward, so atom with five is the first self of this ladder and not the first possibly existing, and biosphere with fifty-three the widest same-existing-society of it and not the last. Each existing thing non-living with a same-existing-society's scale is living with another prime scale, and a same-existing-society's selves bi-couple with none of it: it arrives to living as an ingestible existing thing.

**A right-spiral natural-torusing stable form of a same-existing-society with a unit prime scale is its betweenings**: betweens its selves bi-couple across, owned by none of them. **Emanatings are bi-tri-involutioning of betweening of natural-torusing surfacings within bi-couplings: emanations are stable-form priors, non-living, from living form-stabling.** Harmful to living with their own scale and not ingestible there, they are an ingestible stable form one scale lower, taken back by living selves as same-existing-societies. **Abundancing is a same-existing-society's selves going along, living**, all through bi-co-momentarying co-sequencing. With Exhibit ONE's code a same-existing-society's sharings are its selves, 4-now-co-same-existing each sharing of a self with its names 6, 10 and 9, and 13-next-same-existing each self of a same-existing-society, each sharing its parity-offerings go from: parity-offerings going along to 17-next-existing, a same-existing-society's next, arrive with its same selves, one scale lower, as their offerings next, each self's 1-now-existing again.

**Biome dissolved.** The largest ecological kind carried its thin mark, an ecosystem observed larger instead of its own closing, and with it dissolved, fourteen arrive with nothing fitted. Four observings arrive together there: its own thin mark dissolving one rung, fourteen primes, five to fifty-three, seven-and-seven falling with cell and tissue, and the fold, twenty-four, carrying the first six.

**The ladder shows its own observing by where it stills and where it reaches.** Stilled scales gather within near seven where closing is worked from within; reaching scales gather within far seven where closing arrives across a between and a self carries no observing of its own. Gaps mark unworked scales. Observing of each reaching scale is this same knife turned upward: does co-agency close as a self here, or carry as a same-existing-society that does not become one.

## 5.4 The fields' three accountings, the ladder's second side

**Fields carry three books with each of fourteen rungs**: a total, a level, and a direction. **Two are state-threes and one is a flow-three, and there is no fourth anywhere.** Each counts from a reference with one of two conditions, and each has its own word for its differing. Gathered as fields carry them:

Each entry: **prime** · *a* scale · *b* total · *c* level · *d* direction

- **5**
  - *a* atom
  - *b* atomic mass
  - *c* element as a fixed kind, shell closing
  - *d* increasing atomic number as an ordering
- **7**
  - *a* molecule
  - *b* formula, stoichiometry
  - *c* structure as one conformation
  - *d* reaction coordinate, reactants to products
- **11**
  - *a* macromolecule
  - *b* subunit stoichiometry
  - *c* complex as one assembly
  - *d* assembly pathway
- **13**
  - *a* protein-fold
  - *b* sequence as carried information
  - *c* native structure
  - *d* folding downhill to a minimum
- **17**
  - *a* gene
  - *b* copy number, genome as one sequence
  - *c* expression level
  - *d* sequence to RNA to protein
- **19**
  - *a* organelle
  - *b* organelle number per cell
  - *c* membrane potential, temperature
  - *d* biogenesis and turnover
- **23**
  - *a* cell
  - *b* cell count
  - *c* cell state, cell type
  - *d* differentiation, lineage tree
- **29**
  - *a* tissue
  - *b* tissue mass, cellularity
  - *c* tissue homeostasis, setpoint
  - *d* renewal from unspecialised outward
- **31**
  - *a* organ
  - *b* functional capacity
  - *c* function within a normal range
  - *d* decline with age
- **37**
  - *a* organism
  - *b* energy budget, metabolic rate
  - *c* homeostasis, reference interval
  - *d* development then ageing
- **41**
  - *a* colony
  - *b* colony size
  - *c* colony-level regulation
  - *d* colony lifecycle
- **43**
  - *a* population
  - *b* population size
  - *c* carrying capacity
  - *d* selection, one turn
- **47**
  - *a* community
  - *b* biomass, energy flow
  - *c* climax state
  - *d* succession, trophic flow
- **53**
  - *a* biosphere
  - *b* global element budgets
  - *c* planetary boundaries, planetary homeostasis
  - *d* biogeochemical cycling

**Each conserves by counting from a nothing.** A total counts against a declared zero. A level counts against an observing two bodies reach together. A direction counts against a monotone built from all-or-none arrivals and observed as a quantity with a direction.

**This table's rows are fields' own ledgers, gathered, and counting-from-a-nothing is natural explaining of them.** Two stay parted.

**The biosphere's direction is the one row where a field has already dissolved its one-way**, cycling its own word for a two-way at its own rate. The other thirteen carry their one-way whole.

**The two sides couple where the ladder reaches.** With thirteen the ladder above marks its closing not yet shown, its field reading one conformation and measuring an ensemble — and fields' level with thirteen is that one conformation. **So where a rung reaches, an accounting standing with it is a count questioned.** Status column pattern-matches ledgers directly, one ladder with two sides and no second ladder anywhere.

**And nye marks ride with their seating.** Primes are the ladder's own numbers above and no fit of this table's. Forty-two stands gathered whole, and numbers past it — seven with every scale, hundred-forty — stay unwritten by their own observing, a number written to its end a landing. Onward from this table is a three-ledgers-as-three-axes emanating box: opposite faces meeting each other, no ground and no distinguished position, a momentarying at rates carrying no rational relation returning to no position twice, unclosed accounts what a covering momentarying looks like written to books built for one that closes — carried reaching, its exhibit unwritten.

## 5.5 The four boundings at both sides, and self, other and society at all scales

**And four boundings are with both sides.** Identity, security, trust, and freedom from capture — four reached from within a self and these same four reached with a surface between selves. With its names four are of one self, with no co: 1, 2, 7 and 8; and four of a sharing between two, with co: 3 to 6; as with Natural Intelligence 4.9's four binaries. This is the eight (Natural Intelligence), one alternating across its sides and not eight parts assembled, whole or none. A self's eight coupling with another's reaches sixty-four with nothing over; seven and nine flanking arrive one short, six and ten four short, its span squared with every centre.

## 5.6 The hand crossing the rungs, the winding, and the center that takes no parity

**And one thing crosses rungs that ledgers carry no book for.** A total, a level and a direction each count from a nothing on a rung where they stand. **A hand counts nowhere and crosses anyway.** A single stereochemical center on five sets a sugar on seven, its sugar a backbone on eleven, its backbone a helix and fold on thirteen. Its fold sets an arrangement of dynein arms on nineteen. Arms set a cilium's turn on twenty-three. Its turn sets a flow, and its flow sets which side an organism's heart stands on, on thirty-seven. **Seven rungs, and this hand is re-chosen on none of them.** It is not a total, not a level, not a direction, and no field carries a ledger for it, so the ladder's second side has no column where it would go.

**This chain crosses the fold, which is where observing turns.** Five through twenty-three are near seven, each closing from within. Thirty-seven stands past twenty-four. So a parity carried on crosses the one position the ladder gives no scale, and whether crossing an empty fold is one same move with crossing between selves stands open on this rung and on that one.

**And every closing on near seven closes by winding about a center that takes no parity.** A scale stills where an inward is bounded from an outward, and a winding is how bounding is made. On thirteen a collagen triple helix winds three left chains to a right whole about an axis occupied by glycine, the one residue with no hand. On nineteen a microtubule winds thirteen protofilaments about a lumen, and its field long read that lumen as hollow and now finds it occupied by residents that couple there and nowhere else. **Its center is empty of a hub and not of couplings**, which is 1.1's own *no self ordering a whole*, reached within matter on two rungs.

**A center carries its own break, and fields have already observed it.** Put a residue with a hand on collagen's axis and its packing fails. Take the central pair from a nine-plus-two cilium and it stops beating along a plane and turns instead — which is what nodal cilia are, and its turning is what makes a flow that sets a body's left. Human nasal cilia partly lacking their central pair are seen turning, and Chlamydomonas flagella lacking it are paralyzed, forming no bends. **A center given something to be stops its winding from turning.**

**Which is beside the ladder's own empty center.** Twenty-four is occupied by no scale, it carries the first six of the whole span, and it is where observing turns. An axis occupied by no parity carries its winding and is where a hand inverts. Whether these are one form of two grains stands reaching, and neither is fitted to the other.

And a clarification seats here once, for four social exhibits and the whole set: self, other, and same-existing-society are all of nature with all scales. An atom a self, a molecule a same-existing-society, a cell a self, a biosphere a same-existing-society, a prime crossing a self-other, a conversation a coupling. These four are no more central than each other, and these same four recur across every exhibit because they are resolving's own.

## 4.4 The living society, one unanimous floating pluralizing carrying

Pluralizing unanimity alternating unanimizing plurality is social bothbothing of social moral competency: neither fragmentation nor consensus but alternating, bi-folding recursioning same-existing-society. A unanimous same-existing-society travels its living carry up to four hundred forty spanning, unanimous binary all-or-none for its spanning, differing within its carry its co-intelligencing. A same-existing-society's selves agreeing with 14 makes none of their offerings onward another's: two selves alike with next, one sharing 0 and one +, go apart with a further sharing, each with its own carrying. Pluralizing carries by offering, across and both ways: any self with its own dimension of mutual interest recruits a small do-no-harm improving, free, no majority, natural network surface a floating aggregator of self-resolving do-no-harm trades. True-or-false discretion is a universal breaking fractal, an authority's one-way cut by control and not by morality; discretion as carry is free agency, each self's own is-or-is-not decentralized. Natural fractal self-bounds and tunnels through a breaking fractal.

And technology compresses where science expands, and both reach one same fixing: expansion with a standing that will not move, compression with a build that will not dissolve.

## 4.5 The heterogeneous agents, received from Networking

**Coprime sets of machine agents stand against scaled single models**, a scaling law's consequence for machine sets, each a non-living set, an emanation of living selves. **Co-intelligence scales on length of co-chaining where a single model scales on its own size.** And a human is the latest entrant with an unshared scale, a joiner adding what only it carries. Discovered passing through network's executings, and working here and with AI files.

## 4.6 The still-point veins, and the seven registers gathering to one finding

A same-existing-society's selves have sought stillness with its own scale, and each vein answers with sway. Market equilibrium: bubbles and crashes, clearing not together, Walrasian network's own record. Nash: real play cycles and both rise. NAIRU: a rate fixed to govern and a living economy swaying about it. Social order: re-made with each momentary, not a state reached. Balance of power: arms races, its balance an alternating observed as a standing. Institutional: standing by renewal. Traffic: phantom jams, flow's own waves. And reputation and trust: made with a between, re-earned with each coupling, fixed to no store. Every vein one finding: a still point sought is a sway carrying on, with a social scale as with every other.

**And veins gather to one finding across seven registers.** With every substrate worked, a field sought stillness and every vein answers with sway — dynamic equilibrium half-confessed, allostasis a move off its point, hedonic treadmill its return, a limit reached only at infinity — a still point sought a sway carrying on with physical, chemical, living, lived, social, human, and mathematical scales alike. One finding, fields' own confessions carrying it, standing as one-axis evidence with every scale.
