Papers & Publications

Scripta manent — quod scriptum est, redit.

Complete publication catalog of Generative Collapse Dynamics. 18 DOI-minted Zenodo publications and 9 repository papers — all derived from a single axiom, all reproducible from source.

Publication Overview

18
Zenodo Records
9
Repo Papers
27
Total Works
760
Zenodo Views
800
Downloads
159
BibTeX Entries
CC BY 4.0
License
1
Axiom

Zenodo Publications

DOI-minted

Episteme Construction Community

All publications are archived in the Episteme Construction community on Zenodo — CERN's open-access repository. Each record receives a persistent DOI and is preserved in the CERN Data Centre.

View on Zenodo → 18 records · 760 views · 800 downloads
01

Structura Collapsus

Formal structural analysis of collapse dynamics — the Latin-rooted formalization of GCD as a generative mathematical structure.

Publication 2026-03-14 DOI:19025647 16 views · 9 downloads
02

Generative Collapse Dynamics: Whitepaper

The comprehensive GCD whitepaper — derives the complete kernel, tier system, frozen parameters, and 44 structural identities from a single axiom.

Publication 2026-03-06 DOI:18893328 34 views · 15 downloads
03

UMCP GitHub Repository

Archived snapshot of the Universal Measurement Contract Protocol codebase — 14,000+ tests across 20 closure domains.

Software 2026-01-26 DOI:18379293 5 views · 0 downloads
04

Universal Measurement Contract Protocol

Complete UMCP specification — validation protocol, casepack format, three-valued verdicts, SHA-256 integrity chains, and the five-stop spine.

Publication 2026-01-14 DOI:18226878 83 views · 34 downloads
05

The Physics of Coherence

Cross-domain coherence analysis — demonstrates kernel universality across particle physics, atomic physics, consciousness, and materials science.

Publication 2025-12-31 DOI:18111558 68 views · 46 downloads
06

A Provenance & Canon Note

Formal specification of provenance tracking — the manifest system, SHA-256 checksums, and canon anchoring protocol.

Publication 2025-12-18 DOI:17980036 82 views · 50 downloads
07

The Episteme of Return

Epistemological foundations of GCD — how the return axiom structures knowledge claims and validates epistemic coherence.

Publication 2025-12-03 DOI:17797689 153 views · 72 downloads
08

Collapse Integrity Kernel v1.0.3

Versioned release of the collapse integrity kernel — the core computational engine implementing K: [0,1]ⁿ × Δⁿ → (F, ω, S, C, κ, IC).

Software 2025-11-24 DOI:17694376 52 views · 27 downloads
09

The Seam of Reality

Seam calculus — the verification boundary between outbound collapse and demonstrated return. Derives frozen parameters from seam closure requirements.

Publication 2025-11-15 DOI:17619502 36 views · 25 downloads
10

Welded Agency

The weld mechanism formalized — how agency, continuity, and policy change coexist through append-only welded history.

Publication 2025-11-08 DOI:17561485 21 views · 21 downloads
11

Retro-Coherent Transmission through Quantum Collapse

Quantum coherence transmission analysis — RCFT framework applied to quantum measurement, entanglement, and retro-coherent signal recovery.

Publication 2025-11-04 DOI:17518421 77 views · 60 downloads
12

The Grammar of Return

The five-word vocabulary and discourse spine formalized — Drift, Fidelity, Roughness, Return, Integrity as the grammar of every claim.

Publication 2025-11-04 DOI:17518338 19 views · 13 downloads
13

Collapse Integrity Calculus

Mathematical calculus of collapse integrity — derivation of the kernel identities, frozen constants, and the integrity bound IC ≤ F.

Publication 2025-11-04 DOI:17518269 15 views · 14 downloads
14

The Return Structure of Integrity

Structural analysis of integrity as a return property — why IC is always derived, never asserted, and how the ledger enforces reconciliation.

Publication 2025-10-24 DOI:17429931 17 views · 12 downloads
15

Integrity Stack

The complete integrity stack — from raw data through embedding, kernel computation, regime gates, seam verification, to three-valued verdict.

Publication 2025-10-19 DOI:17393096 19 views · 20 downloads
16

CIN-1 Recovery Protocol

Recovery protocol for CIN-1 nonconformance — systematic procedure for returning a failed validation to conformance through welded correction.

Publication 2025-10-14 DOI:17345786 13 views · 16 downloads
17

Liber Universalis de Collapsus Mathematica

The universal book of collapse mathematics — Latin-formalized presentation of the complete GCD/UMCP mathematical framework.

Publication 2025-10-11 DOI:17329809 13 views · 14 downloads
18

Episteme Construction

Foundational publication — the original episteme construction paper establishing Axiom-0 and the return structure that the entire framework derives from.

Publication 2025-10-10 DOI:17309177 37 views · 352 downloads

Repository Papers

LaTeX source

These papers live in the repository's paper/ directory. All use RevTeX4-2, share a unified bibliography of 159 entries (PDG 2024 through Kramers 1940), and are compilable from source.

01

Particle Physics in the GCD Kernel: Ten Tier-2 Theorems

Maps 31 Standard Model particles (17 fundamental + 14 composite) through an 8-channel GCD kernel. Proves 10 theorems: spin-statistics separation, generation monotonicity, confinement as IC collapse, mass-kernel log mapping, charge quantization via IC, cross-scale universality, symmetry breaking amplification, CKM unitarity, running coupling flow, and nuclear binding curve.

Published 5 pages standard_model nuclear_physics paper/standard_model_kernel.tex
02

RCFT Second Edition: Foundations and Implications

Recursive Collapse Field Theory — the theoretical framework extending GCD into recursive field structures. Establishes the Freeze-Weld identity and recursive collapse operators.

Published rcft gcd paper/rcft_second_edition.tex
03

τ_R* Dynamics

Formalizes the τ_R* thermodynamic diagnostic: return time computation, phase diagram classification, and the arrow-of-time constraint on collapse trajectories.

Published gcd paper/tau_r_star_dynamics.tex
04

Confinement Kernel Analysis

Detailed analysis of IC collapse at the quark→hadron phase boundary. Demonstrates that confinement is visible as geometric slaughter: one dead channel (color→0) kills multiplicative coherence.

Published standard_model nuclear_physics paper/confinement_kernel.tex
05

Measurement Substrate Theory

The GCD kernel as a universal measurement substrate. Establishes that the kernel function provides a domain-independent measurement layer for reproducible computational workflows.

Published gcd paper/measurement_substrate.tex
06

Consciousness Coherence: Seven Theorems in the GCD Kernel

Maps 20 consciousness systems through a coherence kernel. Seven theorems connecting awareness, integration, and collapse dynamics to measurable kernel invariants.

Published consciousness_coherence paper/consciousness_coherence.tex
07

Awareness-Cognition Kernel: Ten Theorems Across Phylogeny

A 5+5 channel awareness-aptitude kernel applied across 34 organisms. Ten theorems on attention mechanisms, cognitive scaling, and phylogenetic awareness gradients.

Published awareness_cognition evolution paper/awareness_cognition_kernel.tex
08

Cross-Scale Matter: Quarks to Bulk via Five Phase Boundaries

Traces IC/F oscillation across five phase boundaries: quark→hadron→nucleus→atom→molecule→bulk. Each boundary is a collapse-return cycle measurable in the kernel.

Published standard_model atomic_physics materials_science paper/cross_scale_matter.tex
09

RCFT Freeze-Weld Identity

Formal specification of the Freeze-Weld identity: the mechanism by which recursive collapse fields preserve continuity across parameter changes.

Technical Note rcft paper/RCFT_FREEZE_WELD.md

Publication Timeline

Oct 2025
First publication
Mar 2026
Latest publication
6 months
Active span
~3/month
Publication rate

Compilation & Reproducibility

LaTeX Build Sequence

All repository papers compile with the standard RevTeX4-2 sequence:

pdflatex paper.tex
bibtex paper
pdflatex paper.tex
pdflatex paper.tex

Document class: revtex4-2 · BibTeX: paper/Bibliography.bib

Reproducibility Chain

  • Source available — all LaTeX and code in the repository
  • DOI-minted — Zenodo records with persistent identifiers
  • SHA-256 integrity — 221 tracked files with checksums
  • 14,362 tests — every theorem verified computationally
  • Open license — CC BY 4.0 / MIT
  • 159 bibliography entries — full provenance chain

Author

Clement Paulus

Independent Researcher

Research Program

A single axiom — "Collapse is generative; only what returns is real" — derives a complete measurement framework with 47 lemmas, 44 structural identities, and 20 domain closures spanning particle physics to consciousness research. Every claim is computationally verified. Every publication is reproducible from source.

Sine receptu, gestus est; cum receptu, sutura est. — Without a receipt, it is a gesture; with a receipt, it is a weld.