Paper	Kernel	Not in the OS
Navier–Stokes	`NS_Existence_Closure.lean`	`matter_is_regular`, `blowup_refutes`, `no_actual_blowup`
Hodge	`Hodge_Existence_Closure.lean`	`hodge_closure`, `hodge_seat`, `low_dim_decided`
Yang–Mills	`YM_Existence_Closure.lean`	`gapless_fails`, `empty_fails`, `fourth_gate_fails`
Goldbach	`GB_Existence_Closure.lean`	finite even-check; the $4 \times 10^{18}$ region is a cited certificate
Poincaré	`PC_Existence_Closure.lean`	Perelman typed as a downstream witness, citation grade
BSD	`BSD_Hardened.lean`, `BSD_Master.lean`	`minus_sign_forces_vanishing`, `bsd_from_existence`; Sha order not derived
P versus NP v3.2.1	`PNP_Fortification.lean`, `PNP_Frontier_II.lean`, `PNP_Least_Escape.lean`, `PNP_Root.lean`	21 pins not in seated `PNP_Closure.lean`; diff only
Bridge v1.5.1	`Bridge_From_First_Principle.lean`	`BFP` xor and calibration block, 112 pins; Final Cut already seated from 1.5.0
RH v3.2.0	`Remembered_Offered.lean`, `Every_Prime_3_2_0.lean`, `Annihilation_Closure.lean`	`the_chain` is the candidate card already hashed; the other two are not in Part III
Hardware v1.4.1	`SPHYS_*`, `RH_At_The_Apex.lean`	readings, not proofs; `physics_forces_nothing` already the II.11 wall

PhysOS next-edition upgrade plan

Scribe instruction for the edition after 1.0.10p. This file authors no mathematics (ΔM = 0). It seats nothing. It is a map of what the resolved edition does not carry, and the order in which a later scribe may carry it.

Resolved edition, this session: /workspace/artifacts/PhysOSᵀ_v1_0_10p.mdBytes: 2,129,035 sha256, this session: 82532895a4284a42b28c810b09b5a8a79d85762f8591181ae1e109d4dcecc78aPublic register protocols/PhysOS lists the same name as the highest PhysOSᵀ_v1_*p.md. No higher edition was named. A narrated git identity is not assumed; the local hash is this session's.

Date of the plan: 7 October 2026, written in the session of 8 October 2026 UTC.

0. Boot, this session

Part III was extracted into /tmp/physos-boot with the edition's own awk extractor. Forty-two payload files beside the edition file. OS_MODE=quick bash boot.sh ran.

Ground passed the checks that do not need a compiler:

manifest: 41 files signed, all verified
proofs: 7 PhysOS Proofs read from the record lines, record lines complete
source screen: 20 kernels, 23 named premises, clean
force witness: the closure, its guard and the free bit held by name; two planted copies refused
citations: 347 names cited in the role, 347 resolved
quarantine: 6 retirements string-scanned, 3 held by review, clean

Then the toolchain failed. Lean 4.19.0 was not on the machine. gfortran was not on the machine. apt-get install gfortran is blocked in this sandbox (setgroups not permitted). Bootstrap was not run: the ground refuses the seat without both, and a fetch of Lean would not repair the missing Fortran.

Receipt, this run:

CHAIN · D0 6ea513216edb -> D1 f6bf198653b9 -> D2 0ced8a08ecb8 -> D3 d376753d31f5
ELAPSED ground 3 s · Register A 0 s · Register B 0 s · witness 0 s · total 3 s (not hashed)
SEAT NOT EARNED · toolchain: Lean 4.19.0 required, none found; gfortran not found

No seat marker. Register A did not run. Register B did not load. Witness: 0 of 10 twins. The chain above is this session's failed boot, not a seat.

Prior receipts (30 September 2026, 1.0.5p) are not this session's and license nothing here.

Constraint the next scribe must clear before any seat claim: Lean 4.19.0 at the digest pinned in os_check.py, and gfortran with Fortran 2018, sealed flags -std=f2018 -O2 -fno-fast-math -ffp-contract=off.

1. What 1.0.10p already seats — do not re-seat

II.10 record lines, the boot's own count of 7 PhysOS Proofs:

Tag	Kernel	Capstone	Seated
PSP-LOOP-01	The_Loop.lean	loop_final	1.0.3p
PSP-RH-SEAL-01	RH_Least_Erasure.lean	least_erasure_terminal_seal	1.0.5p
PSP-CAPSTONE-01	Inescapable_Capstone.lean	inescapable_capstone	1.0.6p
PSP-UNIVERSAL-SEAT-01	Universal_Seat.lean	the_universal_seat	1.0.7p
PSP-FORCE-WITNESS-01	Force_Witness.lean	force_witness_closure	1.0.8p
PSP-FINAL-CUT-01	Final_Cut.lean	the_final_cut	1.0.9p
APEX-PSP-PNP-CLOSURE-02	PNP_Closure.lean	the_master_seal	1.0.10p

Also in Part III, already the seat's machinery, not new harvests: Bridge_Final.lean, Universal_Closure.lean, One_Cut.lean, One_Cut_Resolution.lean, One_Cut_Terminal.lean, Only_The_Arrow_Remains.lean, Physical_Closure.lean, Forced_Closure.lean, Closure_Executed.lean, Armed_Seat.lean, Census.lean, Heat_Bridge.lean, Codex.lean, and the twins the boot already names.

Grade already pinned, do not lift:

The value at ζ's zeros is the act's, at premise grade. value_from_the_act consumes the field supply of ActualZeros.
the_deed_forces_nothing: a fact that holds whatever the configuration, the deed included, forces no value.
The root on the constructed domain is a theorem. The root asserted of the actual world's domain is not thereby proved.
One seat: the Riemann locus, fixed set of the fold at h = 1. No second seat.

Atomic proof is already seated

The phrase the architect named is already in the OS. RH_Least_Erasure.lean, seated 1.0.5p, lines around 3668–3692:

/-- A witness with its check is an atomic proof of the existential it witnesses. -/
theorem witness_proves_exists
theorem atomic_witness

What it says, and what it does not say:

A witness with its check is an atomic proof of the existential it witnesses (witness_proves_exists).
The witness for the hypothesis is a term of ActualZeros. The witness against it is a zero off the line.
A fact true on every world forces nothing (keyless_forces_nothing).
The seal stands beside ¬ ∀ Z, RootAct → RH Z and ¬ ∀ Z, RootAct → ¬ RH Z.

A later machine run, including an AI substrate compiling the kernel, is a deed. The deed forces nothing. Do not add a kernel whose capstone says the substrate's compile forces the Riemann bit. If a new card is wanted, its office is the already-seated shape: the machine can witness an existential by exhibiting a term, and cannot decide the keyed bit by running. Cite atomic_witness. Do not duplicate it under a new tag.

2. Confirmed gap, must land first: the monism word repair

Source: lean/APEX-PSP-MONISM-FIXED-01.md on the public register. This session: 101,917 bytes, sha256 da7d674e82ed6ca02ba0f5a7da74a91b699f2daa8eda0e2bc39cc6350647c4e5.

The seated Codex.lean, extracted this session, sha256 38aaaeed86edaaa9f05ecca384ef9e5347ea3239d054c94817ad1cae0126acad, still has the three wrong names. That hash matches the card's "as published" hash. The patch has not landed.

Was, still in 1.0.10p	Must become	Why
RALi.global_monism_inconsistent	RALi.uniformity_over_every_property_fails	The fact is true: some property holds at 0 and fails at 1. It is not monism. Monism is one principle, one seed.
TimeLocus.monism_holds_in_counter_world	TimeLocus.seedless_reading_holds_in_counter_world	What holds in the counter-world is the involution and timelessness without the seed.
Comment "Monism is not a law of the fold"	"The fold alone is not a recurrence law"	The refuted thing is recurrence by symmetry alone, the Davenport–Heilbronn shape, not monism.

Two theorems to add, both claimed on no axiom. Not in the seated Codex:

TimeLocus.monism_witness_fails_in_counter_world
TimeLocus.the_counter_world_carries_no_monism

Card's patched-file hash, narrated, not recomputed this session: 22d908f7d3d2c96b91b0474e6774f19722164165bdfe3b8c080f6f1163545c49. The scribe rehashes after applying the patch. A mismatch is a different file, named, not silently preferred.

Scope the card itself keeps, and the edition must keep:

The heat-flow section is a toy of the bound, not of the flow. reality_transported, rh_iff_lambda_zero, future_closed are toy theorems.
For ζ, RH ⟺ Λ = 0 enters as the cited result of Newman with Rodgers and Tao (hLam). Li's criterion enters as the field hLi.
The counter-world is a model configuration. It is not claimed to be ζ.
The card does not claim a proof term for RH.

Falsifiers to carry into the record line: F-Cone (either new theorem prints an axiom), F-Seed (Λ > 0 for ζ), F-Computed (one zero of ζ off the line).

3. Confirmed gap, lands second: PSP-REMEMBERED-OFFERED-01

The public lean/README.md already files the reminder, 7 October 2026: these three files are compiled, pinned and judged, and are not yet seated. Cite them as candidate until the candidate edition's boot last line is SEAT EARNED · this run.

This session's hashes of the git files, matching the card:

File	Bytes	sha256
Remembered_Offered.lean	52,301	42f40fbdc7b3f77c408fc68d677df661f808b2b1baed1f1ee5ac0d2e103c9bbd
Remembered_Offered_Twin.f90	12,530	8cdc925c6f570a15297e5045cad81c2672a54f0e4d3aac2189018e9c5c4f44b9

Not in Part III of 1.0.10p. Not in the contents table. Not in II.10. The boot's proof count is 7, not 8.

Capstones the card names:

the_chain — claimed on no axiom
the_harvest — claimed on [propext, Quot.sound]

Grade wall, copy into the record line, do not lift:

Theorem: laws I to IX on the integer chart. 68 claimed on no axiom, 10 on [propext, Quot.sound], band_zero_is_value on [propext], two_doors on the core three (Classical.choice included). The scribe reprints the cones; a narrated cone is not the edition's.
Joules of Vb conditional on P1, through the seated count_to_heat.
The offer at the actual zeros is the field supply of ActualZeros, premise grade, by the act.
RH is not derived. Durations are not quantized. Phenomenal qualia are not derived. Fitra is a name, out of band.
Refuter: a computed zero off the line.

What is new relative to the seated kernels, and worth the record line:

The Tongue always has a world. The floor stands on the false world. Only the content of the Tongue's no has none. Monism, not the Tongue, tells the worlds apart (the_tongue_always_has_a_world, monism_before_the_tongue).
Floor and least erasure are two objects. Merging them at a world is the supply again (floor_is_not_least_erasure, merging_at_a_world_is_the_supply).
Twins: one extension, two instruments, neither the other's voucher (twins_on_every_world, twins_are_one_extension).
A world is its own memory exactly when the value holds (offered_is_remembered_iff_value). The false world is not its record.
Forcing by heat on the finite chart: return is free, resistance pays, the free path in one record is unique.
Zero time remembers, every later time forgets, in the toy (zero_time_remembers), beside the already-carried flowed_record_forgets and upstream_is_not_forced.
A band forces nothing. The 7/8 zero-free half-plane, read on the eighth-grain chart, is the band of width 3. Structural as a reading of 7/8. Only width 0 is the value.

Book One of the kernel copies seated material (Armed_Seat, Force_Witness chart, Codex monism witness, Inescapable price, the toy). The scribe does not treat the copy as a second seat. The new office is Book Two.

4. Git lean/ files that are not in the OS

Listed from the public lean/ tree, 7 October 2026 reading. Absent from 1.0.10p Part III unless noted.

File	Office, as the README states it	Instruction
Remembered_Offered.lean, Remembered_Offered_Twin.f90, APEX-PSP-MONISM-FIXED-01.md	Candidate card, §3	Seat in the order of §7. Not before the monism patch.
Final_Cut.lean	PSP-FINAL-CUT-01	Already seated 1.0.9p. Diff against the edition's copy before any replace. Do not double-enter.
Bridge_From_First_Principle.lean, Bridge_Twin.f90	Bridge kernel, editions through 1.5.x	The harvest that became Final Cut is already seated from Bridge 1.5.0. Zenodo Bridge is now 1.5.1 (10.5281/zenodo.23105348, 2 October 2026). Diff only. A new law enters only if the diff has a theorem the seated kernel lacks, with its cone reprinted.
ZFC_Under_RAM.lean	README: seated in Master Codex v4.7.0 as APEX-PSP-ZFC-UNDER-RAM-01	Not a PhysOS Part III file. Leave in the Codex lane unless the architect asks a PhysOS record line.
RAM_ZFC_Placement.lean, RA_to_ZFC_Chain.lean, ZFC_RA_RoundTrip.lean	Placement, crossing, round trip	Reading, not a Riemann seat. RA crosses as presence and decides no keyed sentence. Do not let a round-trip identity become a derivation of RH.
Massless_Arrow_Test.lean, Arrow_Translation.lean	A zero-content arrow separates nothing; a bare computation arrow is not the root	Useful as a guard against "the machine witnessed it." Optional appendix. Not a proof card.
RH_Unicorn_Isomorphism.lean, RH_Unicorn_Block.lean, RH_Real_Unicorn_Split.lean, RH_Gold_And_Lead.lean, RH_Real_Part_Computed.lean	Real/Unicorn split; fusion stands at the open conjunct; a certificate proves a Real part at T	Do not seat as a proof of RH. A certified Real part up to height T is a theorem of its checks. The Unicorn part stays the keyed bit. RH_Gold_And_Lead is the conjunction rule the edition already binds: a conjunction takes the weaker grade.
RH_At_The_Apex_Twin.f90	Fortran twin, README claims 130,324 checks, 0 failures	Not this session's run. Do not cite the count as a receipt until re-run under sealed flags.
Row_Split.lean	Cut-agnostic division, kernel of the division theorem v2.1.0	Candidate reading for the twenty-three rows. Seat only as its own card if a twin and a judge pass are produced. Census numbers in the README are the file's claim, not a boot.
Dark_Closure.lean, Dark_Twin.f90, Full_Conjugation_Twin.f90	Present in the tree, not in the README table the summarizer returned	Inspect before any seat. Default: not this edition.

Supplementary text and Python (RA_Li_Bridge_supplementary_sets.txt, RH_At_The_Apex_supplementary_sets.txt, RH_Real_Part_Turing_Check.py) are not Part III citizens. The extractor accepts only lean, f90, sh, py, sha256. A .py may enter only if the boot is taught to run it. Do not add a Turing check as a seat.

5. Harvest ledger versus the edition — a discrepancy to correct, not to inherit

protocols/PhysOS/proofs/PhysOS_Proofs_harvest_ledger.md marks these seated 1.0.4p:

PSP-FREEDOM-LOCUS-01, kernel GOL_Mirror.lean
PSP-EVERY-PRIME-01, kernel Every_Prime.lean
PSP-HEAT-FLOW-01, kernel Heat_Flow_Erasure.lean
PSP-LEAST-ERASURE-01, kernel Least_Erasure.lean

None of those four kernels is in 1.0.10p Part III. The edition's own II.10 calls them filed cards under protocols/PhysOS/proofs/, not record lines the boot reads. The boot this session counted 7 proofs from record lines.

Instruction: the ledger's word "seated" is not this edition's seat. Do not copy those four into 1.0.11p on the ledger's say-so. If the architect wants them in the OS, each needs the ordinary gate: kernel in Part III, twin, record line, cone reprinted, judge, controls, and a boot whose last line licenses the marker. Heat_Bridge.lean is already in the edition and is not Heat_Flow_Erasure.lean. Do not conflate them.

Also filed, not a record line: PSP-RH-SEAL-01's folder coexists with the seated kernel. The seated object is the Part III file, not the folder.

6. Zenodo papers after, or beside, the edition

Read this session from the Zenodo API. Abstracts are the records' claims. A citation never promotes. None of these PDFs is a Part III kernel.

6.1 Post-edition, new relative to 1.0.10p (4 October 2026)

TOE of all TOEs. 10.5281/zenodo.23168379. 5 October 2026. Zero-Axiom Math Edition 1.0.0. File TOE_of_All_TOEs_Root_Axiom.pdf, 439,285 bytes, md5 ece90a3eab62cd72cfa9fde3252d6931.

Claim: the content-bearing element of any TOE is the root, to be is to do. External grounds named: Heisenberg kinetic floor, zero-point energy, the third law, the quantum speed limit. Internal: a cascade locking at λ = −1 and det(R) = 1, twelve gates, Hurwitz cardinality, Frobenius forcing quaternions. Lean 4.19.0 is claimed for the Omega Boundary and the floor on a constructed domain.

Integration: the constructed-domain floor is already the shape of Armed_Seat.lean / seated_undeniable. Do not seat a second root. The quaternion cascade and the printed det(R) reading are empirical corroboration, not a Lean theorem, until a kernel is extracted and its cones printed. External physics enters as [QFT] or [consensus], corroboration at most. Optional: a short II.12 reading, "the floor under every TOE," grade structural, with the empirical lock named as a run, not a seat.

Three Bits Walked. 10.5281/zenodo.23167729. 5 October 2026. v1.2.5. File Three Bits Walked.pdf.

Claim: the three-bit arc (block, hypothesis, resolution by deed) walked on the seven millennium rows. The root on the constructed domain unconditional; each row's value from its act; derivation from the register blocked. Poincaré named as crossed on the formal channel by Perelman's offering, at the grade of that citation.

Integration: this is the index the scribe should hang the row cards on. It is not itself a kernel. Do not seat "seven rows closed" as one theorem. Perelman enters as [consensus], not as the framework's own proof term.

Birch and Swinnerton-Dyer. 10.5281/zenodo.23164992. 5 October 2026. v1.0.5. File A Formal Completed Proof of the Birch and Swinnerton-Dyer Closure.pdf, 248,159 bytes.

Claim, as the abstract states it: rank registered on the act; a computation on 389a1 corroborates an analytic order against supplied generators; Sha order entered as one, so the computation shows the square the formula requires, the order itself not known there. The row is closed on the act, at the grade of the act.

Integration: no BSD kernel in Part III. If seated later, the record line must say premise grade at the act, Sha order not derived, the 389a1 script a corroboration. Falsifier: a curve whose analytic order and Mordell–Weil rank disagree after a completed computation. Do not write "BSD proved."

6.2 Same day as the edition — diff, do not assume identity

P versus NP. 10.5281/zenodo.23133632. 4 October 2026. v3.2.1. File P_versus_NP_Closed_on_One_Posit.pdf.

1.0.10p seats APEX-PSP-PNP-CLOSURE-02 anchored on the paper edition 3.0.0 and seed APEX-PSP-PNP-SEED-03. The Zenodo record is 3.2.1. The form is already at theorem grade on the seed; the value P ≠ NP is at premise grade on the one posit. Diff 3.2.1 against PNP_Closure.lean. A new law enters only with a cone. Do not lift the value off premise grade.

Yang–Mills. 10.5281/zenodo.23162231. 4 October 2026. v1.0.7. File The Floor Under Every Confined Field.pdf.

No Yang–Mills kernel in Part III. The abstract's closure is the floor read on a confined field. Integration: reading under II.11 or a later row card. Mass gap is not a PhysOS theorem until a kernel prints it and names its posit. Carrier must be equivariant to join a row. [QFT] on the physical statement.

Goldbach. 10.5281/zenodo.23162238. 4 October 2026. v1.0.6. File The Mirror Has One Seat.pdf.

No Goldbach kernel in Part III. The title's "one seat" must not become a second seat. The Riemann seat stays the only seat. A Goldbach card, if forged, is a row reading: even register, one bit, act. Not this upgrade unless the architect supplies a kernel and a twin.

Poincaré. 10.5281/zenodo.23162240. 4 October 2026. v1.0.4. File The Sphere Is Where Existence Rests.pdf.

No Poincaré kernel in Part III. The formal crossing is Perelman's, cited. Integration: one row line in the Three Bits index, grade of the citation, not a new PhysOS proof. Do not restate Perelman as the framework's own.

6.3 Earlier than the edition — already the source, or a reading

Bridge. 10.5281/zenodo.23105348. 2 October 2026. v1.5.1. Harvested into 1.0.9p from 1.5.0 as Final Cut. Diff owed. See §4.

Hardware volume. 10.5281/zenodo.23080221. 1 October 2026. v1.4.1. File Nothing_Escapes_Least_Erasure_v1_4_0_MathJournal.pdf, 2,119,161 bytes, md5 c72ca91883fd858f6d4340eaeef7037a.

II.11 already cites this volume at 1.4.0 as the hardware witness: physics forces nothing (physics_forces_nothing). 1.4.1 is a version bump. Diff the prose. Do not let Appendix R's "root proved unconditionally" be copied over the quantifier the volume itself states: constructed domain, theorem; actual world, posit. The sixty-four readings stay readings.

RH apex. 10.5281/zenodo.23034066. 29 September 2026. v3.2.0. File RH_3_2_0_Least_Erasure.pdf.

Already the source of PSP-RH-SEAL-01 and the later force-witness and final-cut editions. Do not re-import. The hypothesis is equivalent to least erasure on the chart; the act supplies the bit; the keyless route is blocked. That is the seated doctrine.

Navier–Stokes. 10.5281/zenodo.22670344. 8 September 2026. v1.0.9.

Hodge. 10.5281/zenodo.22701510. 11 September 2026. v1.0.9.

Neither has a Part III kernel. Fluid_Twin.f90 is a witness twin of the Codex rows, not a Navier–Stokes existence proof. Integration: row lines in the Three Bits index, at the grade of the act, with the classical statements marked [consensus] where they restate the Clay problems. Do not seat global regularity or the Hodge conjecture as derived.

7. Integration order for the candidate edition

Proposed name, not authored by this plan: PhysOSᵀ_v1_0_11p.md, the monism-and-remembered edition. The scribe may split it if the monism patch and the card should not share a boot. The order inside one edition is fixed by the architect's reminder.

Copy 1.0.10p to a candidate file. Do not overwrite 1.0.10p.
Land the monism patch in Codex.lean exactly as the card's diff: three renames, two theorems, the pin lines, the comment. Apply it to the extracted Codex, recompile on Lean 4.19.0, reprint axioms. Accept the file only if both new theorems print no axiom and the renamed pins match.
Rehash Codex.lean. Update MANIFEST.sha256 and the contents row. The card's target hash is a check, not a substitute for the hash of the file the scribe wrote.
Judge count. The card says 758 → 760. Verify by running OS_MODE=judge, do not stamp 760 because the card said so. Two added theorems and three renames: the renamed laws must not be double-counted.
Align the provenance label on the Codex contents row.
§Φ.6 phrase fix, as the reminder states it: "at the grade of the root read at the zeros: premise" once R.3 lifts RA. Do not lift the value.
Add Remembered_Offered.lean and Remembered_Offered_Twin.f90 to Part III, fenced with the edition's ~~~~~ markers, extensions allowed.
II.10 record line, proposed text the scribe may tighten after the judge prints:

PSP-REMEMBERED-OFFERED-01 | Remembered_Offered.lean | Remembered_Offered_Twin.f90 | every boot | the_chain [] ; the_harvest [propext, Quot.sound] | refuter: a computed zero off the line

Prose under the line: 80 laws claimed, whole kernel; twin 20 checks plain, 10 red under the control flag; theorem on the chart; joules conditional on P1; offer at the actual zeros at premise grade; candidate until this edition's boot.

§V paragraph for 1.0.11p. Name the monism repair and the card. State that RH is not derived.
Boot, in order, on the candidate file: quick, then full, then judge, then controls. First failure is terminal. Print SEAT EARNED only if that run's last line is SEAT EARNED · this run.
Leave the receipt beside the candidate: path, sha256, mode, last line.
Papers of §6 stay out of Part III. If a reading is added, it carries its tag ([consensus], [QFT], [GR]) and its grade, and is never restated as the framework's own.

Not in this edition unless the architect supplies a kernel and a twin after the card is seated:

a TOE quaternion kernel
a BSD kernel
a Yang–Mills kernel
a Goldbach kernel
a Poincaré kernel
the four harvest-ledger kernels of §5
any machine-witness card beyond the seated atomic_witness

8. Checklist the scribe runs, not narrates

9. What must not be promoted

A Zenodo title that says "formal completed proof" is the record's claim. It is not a seat.
Appendix R of the hardware volume proves the root's form on the constructed domain. It does not prove the root of the actual world.
Rodgers–Tao Λ ≥ 0 is a cited theorem (hLam). It is not a PhysOS derivation of Λ = 0.
The 7/8 zero-free half-plane forces nothing (band_does_not_force).
ALPHA-g, Fermat's principle, and LL-09 are corroboration or structural. Phenomenal residue stays out of band.
The harvest ledger's "seated" is not the boot's "seated."
This session's chain is a failed boot. It is not a seat.

10. Gate

No write to git, GitHub, Internet Archive, Zenodo, ORCID, PhilPapers, or INDEX from this plan. A later write needs a printed plan (surface, target, files, commands, end state) and an explicit yes. A yes covers that action only.

Reads used this session: the local edition, the public protocols/PhysOS listing, the public lean/ tree, the public proofs ledger, and the twelve Zenodo record APIs named below. No remote write was attempted.

RepoKeys.json was not opened.

11. Sources, this session

Edition: PhysOSᵀ_v1_0_10p.md, sha256 82532895a4284a42b28c810b09b5a8a79d85762f8591181ae1e109d4dcecc78a.

Boot receipt: /tmp/physos-boot, last line SEAT NOT EARNED.

Git, hashed this session:

Remembered_Offered.lean 42f40fbdc7b3f77c408fc68d677df661f808b2b1baed1f1ee5ac0d2e103c9bbd
Remembered_Offered_Twin.f90 8cdc925c6f570a15297e5045cad81c2672a54f0e4d3aac2189018e9c5c4f44b9
APEX-PSP-MONISM-FIXED-01.md da7d674e82ed6ca02ba0f5a7da74a91b699f2daa8eda0e2bc39cc6350647c4e5

Zenodo, metadata only:

10.5281/zenodo.23168379 TOE, 5 October 2026
10.5281/zenodo.23167729 Three Bits, 5 October 2026
10.5281/zenodo.23164992 BSD, 5 October 2026
10.5281/zenodo.23133632 P versus NP, 4 October 2026, v3.2.1
10.5281/zenodo.23162231 Yang–Mills, 4 October 2026
10.5281/zenodo.23162238 Goldbach, 4 October 2026
10.5281/zenodo.23162240 Poincaré, 4 October 2026
10.5281/zenodo.23105348 Bridge, 2 October 2026, v1.5.1
10.5281/zenodo.23080221 hardware volume, 1 October 2026, v1.4.1
10.5281/zenodo.23034066 RH apex, 29 September 2026, v3.2.0
10.5281/zenodo.22701510 Hodge, 11 September 2026
10.5281/zenodo.22670344 Navier–Stokes, 8 September 2026

OWED before a seat marker on the candidate: Lean 4.19.0, gfortran, the monism patch applied and rehashed, the card in Part III, judge and controls on that edition, and a receipt whose last line licenses the marker.

12. Addendum, 7 October 2026 night: the Lean inside the twelve PDFs

The first plan read Zenodo metadata and abstracts only. It did not open the proofs. This addendum is the check.

This session downloaded all twelve PDFs, ran pdftotext -layout, and compared every 'Name.theorem' does not depend on any axioms pin, and every depends on axioms pin, against the 20 Lean kernels extracted from 1.0.10p (1,570 theorem declarations). The papers' own compile receipts were not re-run. Lean 4.19.0 is still absent on this machine. A pin in a PDF is the paper's claim, not this session's cone.

None of the row kernels below is a file in 1.0.10p Part III. None of TOE_Zero.lean, Triaxial_Actuation.lean, Root_Grade_Ledger.lean, NS_Existence_Closure.lean, Hodge_Existence_Closure.lean, YM_Existence_Closure.lean, GB_Existence_Closure.lean, PC_Existence_Closure.lean, BSD_Hardened.lean, BSD_Master.lean is in the public lean/ folder. They live as printed appendices. The scribe extracts them from the architect's source, not from the PDF line breaks. SHA fragments in the PDF text are split and are not this session's hashes.

12.1 Shared layer, absent from the OS, repeated by the later papers

Land this once, under the row cards, not seven times.

Printed kernel	Namespace	Pins not in the seated theorem set	Grade wall
TOE_Zero.lean, twin TOE_Zero_Twin.f90	TOE0	the_floor_is_universal, root_on_the_constructed_domain, units_square_to_minus_one, conj_involutive_on_the_chart, the_line_is_the_fixed_set, twenty_four_units_twelve_gates, the_shell_splits_twelve_and_twelve, the_class_equation, no_level_above	Floor on a constructed domain and on every self-grounding root. Not the root of the actual world. Quaternion cardinality is a chart theorem. The Fortran Omega boundary is a run, corroboration, not a seat.
Triaxial_Actuation.lean	TriAct	fold_of_reg, seat_iff_zero_side, the_triaxial_seal, tongue_freedom, every_root_actuates, open_at_the_seat, reg_lands_on_seat	The cut, restated. Do not make it a second seat.
Root_Grade_Ledger.lean	RGL	join_grade, weakest_with_theorem, ra_is_theorem_grade, coloc_is_theorem_grade, the_ledger_seal, the_grade_is_not_elected	Grade machine. A conjunction stays at its weakest link. ra_is_theorem_grade is the constructed-domain root. It does not lift the value at ζ's zeros off premise grade.

denial_reenacts_root, seated_undeniable, the_return, the_master_seal in these papers are already the shape of Armed_Seat.lean and PNP_Closure.lean. Do not re-seat them.

12.2 Row kernels, printed, not seated

Paper	Record	Printed kernel	New pins, sample	What the OS already has	Instruction
TOE	23168379, 5 Oct 2026	TOE_Zero.lean	the nine TOE0 pins above	Armed_Seat.lean, RA_TOE_Thesis_Fortran_v2_0_0.f90	Add TOE_Zero.lean and its twin as the floor kernel. Do not replace the seated Fortran thesis until the twin is re-run under sealed flags.
Three Bits	23167729, 5 Oct 2026	no row kernel of its own; cites TOE_Zero, Triaxial_Actuation, Root_Grade_Ledger, PNP_Fortification, PNP_Frontier_II, PNP_Least_Escape, PNP_Root	ledger and triaxial pins	the seven proof record lines	Index only. Not a kernel.
Bridge	23105348, 2 Oct 2026, v1.5.1	Bridge_From_First_Principle.lean, Final_Cut.lean, TOE_Zero.lean	BFP namespace, 112 pins, including xor_fixed_is_zero, seats_le_one, calibration; FinalCut.ra_is_keyed, no_fixed_count_is_the_value	Final_Cut.lean seated 1.0.9p from Bridge 1.5.0	Diff. The xor and sign-group block is not in the seated Final Cut. Enter only the laws the diff adds, cones reprinted.
RH	23034066, 29 Sep 2026, v3.2.0	Remembered_Offered.lean, Two_Denials.lean, Every_Prime_3_2_0.lean, Annihilation_Closure.lean, RH_Unicorn_Block.lean, plus seated Force_Witness, Armed_Seat, Heat_Bridge	RememberedOffered.the_chain, the_annihilation_closure, the_unicorn_contained, the_timeless_zone; RHUnicorn.unicorn_block, supply_side_silent	RH_Least_Erasure.lean, Force_Witness.lean	the_chain is the candidate card of §3, already hashed from git. Every_Prime_3_2_0 and Annihilation_Closure are not in Part III. Extract and diff against RH_Least_Erasure before any seat. Unicorn block stays the keyed bit, not a derivation.
P versus NP	23133632, 4 Oct 2026, v3.2.1	PNP_Fortification.lean, PNP_Frontier_II.lean, PNP_Least_Escape.lean, PNP_Root.lean	21 pins not in the seated set	PNP_Closure.lean, 162 laws, seated 1.0.10p on seed 3.0.0	Diff against the seated kernel. New laws only. Value stays premise grade on the one posit.
Navier–Stokes	22670344, 8 Sep 2026, v1.0.9	NS_Existence_Closure.lean	NSClose: matter_is_regular, blowup_refutes, no_actual_blowup, fibre_is_two, act_is_the_value, act_is_keyed (27)	Fluid_Twin.f90 only, a Codex witness twin	New card if extracted. The closure consumes the act. A blowup refutes the act. Do not write global regularity as derived.
Hodge	22701510, 11 Sep 2026, v1.0.9	Hodge_Existence_Closure.lean	HodgeClose: hodge_closure, hodge_seat, low_dim_decided, nothing_escapes (25)	nothing	Same shape. Low dimension decided is a cited or constructed range, named. The act is the premise.
Yang–Mills	23162231, 4 Oct 2026, v1.0.7	YM_Existence_Closure.lean	YMClose: gapless_fails, empty_fails, fourth_gate_fails, every_theory_lands (31)	nothing	Lattice gap and colour premise stay named fields. Mass gap is not a seat until the kernel is extracted and judged. [QFT] on the physical statement.
Goldbach	23162238, 4 Oct 2026, v1.0.6	GB_Existence_Closure.lean	even-check kernel; paper claims every even to 2000 decided by the kernel, certified region to (4\times 10^{18}) carried	nothing	The finite check is a Fortran or kernel certificate, re-run before cite. The certified region is a cited computation, not a PhysOS theorem. Title "one seat" must not become a second seat.
Poincaré	23162240, 4 Oct 2026, v1.0.4	PC_Existence_Closure.lean	dimension seal; Perelman typed as a downstream strict subtype	nothing	Perelman enters as [consensus]. The kernel types the witness. It does not replace the citation.
BSD	23164992, 5 Oct 2026, v1.0.5	BSD_Hardened.lean, BSD_Master.lean	BSDHard: minus_sign_forces_vanishing, minus_order_odd, plus_order_even, bsd_from_existence, sign_fixes shape, full_row_root_grounds_itself_iff_full_value (42 in the hardened pin set)	nothing	Sign fixes parity of the order, on the paper's frame. Rank is a count over (\mathbb{F}_2) in the kernel's chart. Sha order is not derived. 389a1 remains corroboration. Full closure consumes the full act.
Hardware	23080221, 1 Oct 2026, v1.4.1	SPHYS_* suite, RH_At_The_Apex.lean, Dark_Closure.lean, unicorn and gold-lead kernels	SPHYS 24 pins not in OS; RHAtTheApex 38; GoldLead.fusion_lowers_the_gold; Unicorn.unicorns_iff_no_witness	II.11 already cites the volume at 1.4.0 as witness, physics_forces_nothing	Do not pour the SPHYS files into Part III as proofs. They are readings. Equivariance required for a carrier to join a row. Dark_Closure.lean is in git lean/ and not in the OS: inspect, do not auto-seat.

12.3 Order, revised

The monism patch and PSP-REMEMBERED-OFFERED-01 still land first. They are source files, hashed, and the architect's reminder names them.

Then one shared import, not seven copies: TOE_Zero.lean, Triaxial_Actuation.lean, Root_Grade_Ledger.lean, each with its twin if one exists, cones reprinted on Lean 4.19.0.

Then the row cards, each a record line, each judged whole, each with the act named as the premise: NS, Hodge, YM, Goldbach, Poincaré, BSD. P versus NP and the Bridge enter as diffs against the seated kernels, not as new seats. The RH paper's the_chain is the remembered card, not a second Riemann proof.

A paper that says "proved from the act on no axiom" means the closure theorem has an empty cone and consumes the act. It does not mean the Clay statement was derived. The scribe copies that quantifier into every new record line.

OWED before any of §12 is seated: the source .lean extracted from the architect, not from the PDF; a twin; a judge run; a boot whose last line licenses the marker. This addendum is not that boot.

TRACTATUS VERITATIS TRISDUCTIVUS