The Cosmochrony Research Programme — Roadmap and Paper Inventory

This repository contains the source of the programme synthesis paper The Cosmochrony Research Programme: A Structural Roadmap and Paper Inventory.

It is the central registry of the whole Cosmochrony corpus: it inventories every paper, documents the dependency graph between them, and tracks their status. It is the reference to consult first to understand how the pieces fit together.

Version 2.23 synchronises W1 2.0.1, deposited as Zenodo record 22926106 under concept DOI 10.5281/zenodo.19886319. W1 withdraws its claimed proof of [H-w]. Its exact summation inequality concerns a separately defined finite-window proxy under a relative profile estimate that U1 never proved. Under the specified five-block calibration, the proxy's target is a sum through depth 22, not the infinite series formerly claimed. The bridge to Q5a's response-average weights, their separate directional limits [H-w′], and a common positive limit [H-w] remain open. The synthesis, inventory, bibliography and dependency graph now carry that distinction. Q10 and the other downstream papers remain pending their own audits. Programme 2.23 is a candidate, not deposited.

Version 2.22 synchronises U1 2.0. U1 proves an unconditional equidistance obstruction for finite Heisenberg multiplication generators; a separate adjacent-character example excludes the claimed uniform modulus for their sum. Its former proof of [U], its $O(q^{-1/2})$ rate and the claimed Q10/Q7 closure are withdrawn, while [U] remains open. The inventory, bibliography and both graph surfaces now record that result. W1's quantitative step imports the withdrawn U1 rate and awaits its own audit; Q10 and the other downstream papers remain pending. U1 2.0 is deposited as Zenodo record 22905732, under concept DOI 10.5281/zenodo.19881146. Programme 2.22 was deposited as Zenodo record 22913308.

Version 2.21 synchronises Q9 2.0. The Q9 entry now records a kinetic Mosco limit conditional on [K] and [R], with the energy scale retained in its modulation bound. Its free kinetic form selects no nonzero central character, and the relative moment estimate applies to individual vectors in a cone rather than defining a closed coercive form. Q9 no longer discharges [H-lift] or establishes bridge non-obstruction or a geometric coefficient $A_H$. The programme synthesis, Q5b/Q6b rows, Q9 inventory entry, bibliography and both graph surfaces carry that distinction; the Q9-to-Q10 edge remains a citation edge, without theorem supply. The downstream paper audit continues in the agreed Q9–U1–W1–Q10–Q8–Q11–Q5b order.

Version 2.20 retypes the Q7 entry for Q7 version 2.0, whose central result changes. Q7 now states the requirements an equivariant bridge would have to meet and proves those that follow from representation theory on the supplied carrier. Q7 distinguishes the measured-space identification [ID], target action [ACT], real rotation compatibility [INV] and adapted unitary transport [ADAPT]. Abstract intertwiners exist once the isomorphic modules are supplied. The rank-two spatial principal symbol of Q5b cannot equal a positive rank-three Casimir form. A new positive spatial target remains to be constructed. The Casimir reading of the central coefficient, the isotropy fit, the transfer of a discrete compression to the continuum symbol, and the values imported from Q8, Q10, U1 and Q11 are withdrawn. Status changes: the Q7 row becomes proved for the requirements on the supplied carrier with the identification recorded as open, and the Q7 node is redrawn accordingly in both figures, with the interactive graph's status letter moving from structural to proved and its description naming the open geometric hypotheses; the arrow leaving Q7 loses the proved colour and the Q7-to-Q9 edge is no longer drawn on the spine; the terminal edge into the co-metric result box is likewise demoted and the box marked pending revision; the physical-path prose no longer lists O29 among the suppliers of the dimensional bridge, the dependency edge being kept since Q7 cites O29 for the audit of the measured rank; and the Q5a-to-Q5b-O3 chain is no longer recorded as closed, with a second gap at the Q7 step and a circular junction beyond it. The three edges this release is about -- O29 to Q7, Q7 to Q8 and Q7 to Q9 -- now carry the graph's own edge typing, which states what each does and does not supply. The Q8, Q10, U1, W1 and Q11 entries are marked pending revision on the surfaces that assert their results, each pending its own step in this cascade. The Q5b and Q6b entries are marked too: each asserts the co-metric on the strength of those values, Q6b's own remarks calling it fully explicit and fully determined. The Lorentz-capacity entries, which consume the values rather than deriving them, carry the marker on the value, and on their own conclusions only where those conclusions restate it.

This registry version describes Q7 version 2.0, deposited on 19 September 2026 as version record 10.5281/zenodo.22838313 of concept 10.5281/zenodo.19802123; the bibliography cites the concept DOI.

Version 2.19 synchronises O26 2.1 in the synthesis, inventory row, bibliography and interactive graph. Under O26 Hypothesis 4.4(a), the embedded products lie in the symmetric square, with rank at most three for dimension two: the rank-four target is excluded under that contract alone. Tests 1–2 are implementation checks. The O28–O29 ranks measured in End(H_eff) do not measure End(V_rho), and occupy no row of the embedded-covariance decision table. The admissible embedding remains open. No primary status or dependency edge is changed.

Version 2.18 synchronises the NIF-Note 1.5 release in the Branch I synthesis, inventory row, bibliography note and interactive graph. It separates ENI's one-way implication from the conditional representation route, records temporal order under [H-acyc] and irreducibility under the representation dictionary, carries the dimension and generating-pair premises for non-commutation, and attributes the finite obstruction to HeisenbergStructure 2.1. The Heisenberg group, non-trivial central character and associated Weil action remain supplied. The Born rule and Q5b spatial limit [H-L] remain open. No new result or status reclassification is introduced.

Version 2.17 types the status of every paper on one vocabulary of seven labels (proved, structural, numerical, conditional, heuristic, open, synthesis), with a primary label per paper carried identically by the inventory row, the synthesis paragraphs where they state a status, the dependency figures and the interactive graph. Numerical and conditional are defined in the conventions; synthesis becomes a graph status. Primary labels re-audited against the papers' own status statements: EBJ proved with open items; O25, O28 and O32 numerical; HeisenbergStructure, O18, O27, Q5a, AOG and SRN proved with open items; O21, O23 and Q9 conditional; Q6a open; the presentation notes and the Lorentz-capacity synthesis typed synthesis; figure styles corrected for the white paper, Born-Infeld, Q1, Q3, O18, O22, O24, O27, O29, O30, O31, Gravity and E2, and the dependency-figure styles are brought into line with the rows throughout.

The re-audit of every primary against the papers' own status statements also retypes O10, O11, O13, PTO and LowLCapacity numerical; O16, O20, O24, Q5b, Q10, Q13, U1, W1, LCII, LorCap, TempProj, SpectralRelaxation, FibreErasure, Thermodynamics, Q3, ENT-E2 and Gravity conditional on the hypothesis each names; O4, O19 and TPC open; Q12, KUD and Lorentz (a proved negative result about a posited truncation) proved; Cosmology heuristic; O22 structural; O6 keeps its proved primary with the confinement corollary now recorded conditional, O8 structural on an empirical premise, CHO conditional on the inherited central-phase lift, TopInv and O31 with their secondary labels; the O4 and O6 rows and paragraphs state the current negative results.

The pass also removes the last bare-word status cells (O29 numerical, O30 conditional), defines heuristic and the principal-contribution rule in the conventions, reorders the graph legend on that vocabulary, and restates the contribution cells of H2, TopInv and ENT-E1 and the short titles of Q9, U1 and W1, so that each names the hypothesis or the open extension its result carries. The graph node descriptions are swept against the rows over the whole surface, correcting those that stated a retracted derivation (O4), an unestablished observable (O19) or an identification the paper does not prove (Q7), and Q6b is retyped conditional on the Q5a Mosco hypotheses and [H-L] on all four surfaces.

The status conventions state the secondary-label rule as mandatory for an open or conditional item of the paper's own principal result, and it is applied by predicate over all rows. Two claims the registry itself refutes are withdrawn: the free-fraction identification of the capacity radius with the metric radius (LCII), and the gravitomagnetic reading of the Lorentz vector sector, which its paper lists as open.

Version 2.16 synchronises HeisenbergStructure 2.1 (15 August) and the 28--31 August release wave: O25 1.5, O27 2.0, Q5a 3.2, Q5b 2.1, Q12 1.4, Q13 1.4, Q14 2.0, and the Gauge Structure, Gauge--Gravity Stratification, and Fermionic Matter presentation notes. It consolidates the retired standalone HCO record into HeisenbergStructure 2.1, preserves the separation between supplied-data theorems and emergent-base readings, and records the exact [H-F] $\Rightarrow$ [H-lift] scope of Q9. O29's finite-precision diagnostics are numerical rather than exact carrier-identification theorems, and O30 is a conditional $3\times3$ model distinct from O28's measured covariance. It also distinguishes the Heisenberg/Schrödinger representation identified by Stone--von Neumann from the separate associated Weil action. The registry and website graph remain a single 116-node artefact. It also synchronises the September releases: O29 2.0, O30 2.0, O26 2.0, O28 2.0, the Spectral Admissibility presentation note 2.0, PYL 2.0, EBJ 2.0, PRS 2.1, A4-Note 2.1, FM-Note 2.1 and PYO 1.10.1, and aligns the bibliography titles of thirteen entries with their deposited records. Version labels of Foundation, Q9, NIF-Note, ENT-Note, the white paper and SpectralAdmissibility are aligned with the deposits, the Branch III description is restated on the open bridges, and the dependency graph gains numerical and conditional statuses and the edges O25 to O26/O27, O28/O29 to O30, O31 to O32 and SGN/CC-Note to the Spectral Admissibility note; it records the Q11OF central Weil lift resolution, the AOG proved status and the O14, O31, O32 and SGN row corrections, reverses the AAR/PRS edge, removes the unsupported AAR to Q11OF, Gravity to A4-Note, SRN to Q14 and O31 to TPC edges, types the O28 to O30 edge as interpretive, retypes O26 Level II as a conjecture, corrects the O32 bibliography note, and reduces the CHO node to CHO's own results.

Version 2.2 records the finite (S_3) countermodel to the published Heisenberg carrier-selection argument. The algebraic properties extracted from A1--A3 do not force a central commutator, class-two nilpotence, a finite Heisenberg group, or a Weil carrier. Found and HeisStr are therefore reclassified, while results internal to a supplied Heisenberg/Weil carrier retain their status.

Version 2.7 updates the SRN inventory row for spin-rotation-note v1.4: an independent downstream representation audit shows the Dirac-conjugated fermionic bilinear carries exact Higgs-typed electroweak quantum numbers in every tree-level Yukawa sector, permitting but not deriving a composite Higgs condensate; the pre-existing soldering audit is untouched. No new paper, node, or edge is registered; the corpus count remains 116.

What This Paper Is

The Cosmochrony programme develops a pre-geometric framework in which physical structure — spacetime, quantum mechanics, gauge symmetry, and Standard Model observables — arises from a single primitive: the local structure of admissible non-injective transitions between observable states. The corpus comprises 116 papers across three theory branches:

• Branch I — Foundation track: four axioms organise the admissibility framework. Their published carrier-selection argument is refuted by a finite (S_3) countermodel; the Heisenberg/Weil carrier remains a supplied realisation.
• Branch II — O-series (spectral admissibility): derives the canonical pair-capacity observable and its fibre/representation structure. The proposed $\delta_{\mathrm{pair}}\to\beta^*$ continuation is now recorded as a refuted native Heisenberg transfer and retained only as a cross-substrate phenomenological prescription.
• Branch III — Q-series and companion papers: develops conditional mathematical models toward quantum mechanics, spacetime geometry, gauge structure, and further observables. It contains proved internal results, but the physical chains retain supplied carriers and open bridges such as the Born rule, [H-L], and the colour factor.

Role in the Repository

• Paper inventory: the authoritative list of all papers and their status.
• Dependency graph: covers all 116 inventory entries, is maintained here, and is exported as an interactive HTML visualisation copied to the website for publication at https://cosmochrony.org.
• Coherence: updated whenever a new result is obtained or a new paper is created, so the programme stays traceable.
• Video workflow: VIDEO-WORKFLOW.md is the source of truth for scientific video production and publication; videos.json is the canonical video inventory.

Compilation

pdflatex -output-directory=out tex/program.tex
cd out && bibtex program && cd ..
pdflatex -output-directory=out tex/program.tex
pdflatex -output-directory=out tex/program.tex

Links

• 🔗 DOI: 10.5281/zenodo.19759956
• 🌐 Interactive dependency graph: https://cosmochrony.org/science/cosmochrony_graph

Citation

J. Beau, The Cosmochrony Research Programme: A Structural Roadmap and Paper Inventory, Zenodo, 2026. DOI: 10.5281/zenodo.19759956.

Acknowledgements

Portions of the editorial refinement benefited from iterative interactions with large language models, used as analytical assistants. All claims and final formulations remain the sole responsibility of the author.