Public research outputs from the SECS project. 37 unique DOIs covering 47 published works — 34 individual papers, a 10-paper biological research synthesis, and 3 software packages — all on Zenodo under open access. Plus 4 software packages and a 46-document supporting corpus in this repository.
Author: Jay Andrew Carpenter — Independent Researcher, Sydney, Australia
Contact: [email protected]
License: CC BY-ND 4.0 International
Four papers establishing the core algebra: collapse operator, veto partition, admissibility, and the Collapse Completeness Theorem.
| Paper | Title | DOI |
|---|---|---|
collapse-algebra |
A Formal Algebra of Collapse-Based Computation | 10.5281/zenodo.18906064 |
death-as-exhaustive-veto |
Death as the Exhaustive Veto Partition | 10.5281/zenodo.18905785 |
collapse-never-happens-grothendieck |
Generative Fixed Points and the Open Problems of Grothendieck | 10.5281/zenodo.18905785 |
existence-as-fixed-point |
Existence as Fixed Point: A Meta-Theory of Deterministic Collapse | 10.5281/zenodo.18932890 |
Eight papers. One equation with no empirical inputs yields α⁻¹ = 137.035999177 — 0.3σ from the best measurement. The chain extends from π to G, closing the gravitational constant with zero free parameters.
| Paper | Title | DOI |
|---|---|---|
fine-structure-constant |
The Fine Structure Constant as Self-Consistency Condition | 10.5281/zenodo.18994393 |
constitutional-constant |
The Constitutional Constant: c, E = mc², and Physical Law | 10.5281/zenodo.18995286 |
solve-for-pi |
Solving for π: Recovering Geometry from Physics | 10.5281/zenodo.19014277 |
alpha-precision |
Algebraic α⁻¹ Indistinguishable from Most Precise Measurement | 10.5281/zenodo.19042747 |
identity-to-instrument |
From Identity to Instrument: Algebraic α as Metrological Reference | 10.5281/zenodo.19058029 |
metrological-dominoes |
Metrological Dominoes: Algebraic α Restructures Time | 10.5281/zenodo.19045442 |
gravity-chain |
Precision Dominoes: From Algebraic α to G | 10.5281/zenodo.19047229 |
codata-offset |
The 4.4σ Systematic: Cs Outlier Pulls Every CODATA Constant | 10.5281/zenodo.19049285 |
fifth-link |
The Fifth Link: Deriving G from the Tower Equation | 10.5281/zenodo.19382068 |
Ten papers mapping the constraint surface from oxygen to the periodic table.
| Paper | Title | DOI |
|---|---|---|
oxygen-fixed-point |
Oxygen as Fixed Point: Wind, Blood, and the Constraint Surface | 10.5281/zenodo.19020287 |
mobius-strip |
The Möbius Strip as Fixed Point of Existence | 10.5281/zenodo.19020526 |
osmotic-derivation |
Osmotic Selectivity: α to σ | 10.5281/zenodo.19000474 |
klein-bottle-eigenvalue |
Klein Bottle Eigenvalue: Technetium, Parity Violation, and the Tower | 10.5281/zenodo.19021507 |
edgeless-spreadsheet |
The Edgeless Spreadsheet: Toroidal Self-Reference | 10.5281/zenodo.19029533 |
zinc-tetrahedron |
Tetrahedral Zinc: The Shape of Existence | 10.5281/zenodo.19032617 |
weak-force-transmutation |
The Repair Station: Weak-Force Transmutation | 10.5281/zenodo.19032875 |
samarium-shield |
The Samarium Shield: Promethium's Daughter and Nuclear Remediation | 10.5281/zenodo.19079971 |
polynomial-descent |
Polynomial Descent: Elemental Coupling of the Eigenvalue Tower | 10.5281/zenodo.19080161 |
paper-z |
The Periodic Table Inside α | 10.5281/zenodo.19080317 |
Four papers bridging the collapse algebra into placental biology and developmental physiology.
| Paper | Title | DOI |
|---|---|---|
pseudohypoxic-transfer |
Pseudohypoxic Transfer: Asymmetric Boundary Passage | 10.5281/zenodo.19030111 |
le-chatelier-banach |
Le Chatelier, Banach, and the Oxygen Fixed Point | 10.5281/zenodo.19030188 |
lyapunov-stability |
Lyapunov Stability Windows in Gestational Development | 10.5281/zenodo.19079903 |
umbilical-channel |
Umbilical Channel: Information-Theoretic Constraints | 10.5281/zenodo.19029054 |
Six papers on consciousness, AI architecture, computational redundancy, and software verification.
| Paper | Title | DOI |
|---|---|---|
where-you-exist-inside-yourself |
Where You Exist, Inside Yourself: The Obex as Fixed Point | 10.5281/zenodo.19206307 |
observation-deck |
The Observation Deck: The Zero-Loss Fixed Point of Existence | 10.5281/zenodo.19252934 |
token-economics |
Token Economics: Three Modes of Intelligence Spend | 10.5281/zenodo.19267641 |
turing-inverted |
Turing Inverted: What Survives When You Remove the Human | 10.5281/zenodo.19310727 |
computational-redundancy |
Computational Redundancy: What a Strand-Native Constant Eliminates | 10.5281/zenodo.19158617 |
structural-age-regression |
Structural Age Regression: 10,000 Repositories, Zero AI Breakpoints | 10.5281/zenodo.19180674 |
One paper and three software packages — the Möbius family: dual-strand arithmetic that eliminates IEEE 754 representational error.
| Paper / Package | Title | DOI |
|---|---|---|
algebraic-units |
One Measurement Derives Them All: Algebraic Dimensional Structure | 10.5281/zenodo.19186394 |
| MöbiusConstant | Exact irrational constants (Python) | 10.5281/zenodo.19157585 |
| MöbiusNumber | Complementary residue arithmetic (Python) | 10.5281/zenodo.19154816 |
| MöbiusInteger | Dual-strand overflow-safe integer (Rust) | 10.5281/zenodo.19154835 |
Supporting research papers — no Zenodo DOI.
| Paper | Description |
|---|---|
synthesis-v2 |
Existence as Fixed Point: A Synthesis of Deterministic Collapse Theory (v2) |
the-story |
The Story: How a Substrate Became a Theory of Everything |
| Paper | Description |
|---|---|
structural-age-regression |
The Null Result at Scale — 9,925 repositories tested |
convergence-under-stochastic-load |
Convergence behaviour under stochastic input conditions |
neurotrophic-capability-baseline |
Baseline neurotrophic capability measurement |
extended-convergence-mapping |
Extended convergence mapping across parameter space |
biological-fidelity-assessment |
Biological fidelity assessment of the substrate |
ei-balance-sweep-exploration |
Excitatory-inhibitory balance sweep exploration |
documentation-era-shift |
Documentation era shift analysis |
A 46-document biological research corpus investigating gestational oxygen-demand timing, HIF-1α counter-regulation, and developmental vulnerability windows. Organised into seven subdirectories:
| Directory | Content | Count |
|---|---|---|
synthesis/ |
Published synthesis papers (Papers 1–11) | 31 files |
extensions/ |
Post-publication extension tracks | 11 files |
foundational/ |
Mechanism theory — HIF-1α, OPC, oxygen windows | 6 files |
neurodevelopmental/ |
Brain development, white matter, ASD evidence | 7 files |
clinical-evidence/ |
Clinical correlations, intervention timing | 7 files |
validation/ |
Adversarial stress tests, dataset audits, angelman | 4 files |
narratives/ |
Bridge narratives (frogs + beehives) | 4 files |
See biological-research/README.md for the full description, file index, and testable predictions.
37 unique DOIs covering 47 published works — 34 individual papers, 10 biological research synthesis papers, and 3 software packages. Full registry in doi-footer.md.
| Directory | Content | Governance |
|---|---|---|
papers/ (published) |
Theory papers with Zenodo DOIs | Author-managed (CC BY-ND 4.0) |
papers/ (repo-only) |
Supporting research and measurement reports | Author-managed |
biological-research/ |
Perinatal biology / HIF / OPC research | Author-managed (CC BY 4.0) |
Fine structure constant:
Carpenter, J. A. (2026). The Fine Structure Constant as Self-Consistency Condition of a Four-Operator Collapse Algebra. Zenodo. https://doi.org/10.5281/zenodo.18994393
Constitutional constant:
Carpenter, J. A. (2026). The Constitutional Constant: c, E = mc², and the Algebraic Structure of Physical Law. Zenodo. https://doi.org/10.5281/zenodo.18995286
Meta-theory:
Carpenter, J. A. (2026). Existence as Fixed Point: A Meta-Theory of Deterministic Collapse. Zenodo. https://doi.org/10.5281/zenodo.18932890
Collapse algebra:
Carpenter, J. A. (2026). The Collapse Completeness Theorem: A Formal Algebra of Collapse-Based Computation. Zenodo. https://doi.org/10.5281/zenodo.18906064
Death + Grothendieck:
Carpenter, J. A. (2026). The Collapse That Never Happens: Generative Fixed Points, Grothendieck, and Death as the Exhaustive Veto Partition. Zenodo. https://doi.org/10.5281/zenodo.18905785
Biological research corpus:
Carpenter, J. A. (2026). Gestational Oxygen-Timing Theory: Synthesis Papers on HIF-1α-Mediated Developmental Injury, Myelination, and Multi-System Outcomes (1.2). Zenodo. https://doi.org/10.5281/zenodo.18896103
This repository is part of the SECS project.