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
189
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.
Foundational publication — the original episteme construction paper establishing Axiom-0 and the return structure that the entire framework derives from.
Foundational publication — the original episteme construction paper establishing Axiom-0 and the return structure that the entire framework derives from.
These papers live in the repository's paper/ directory.
All use RevTeX4-2, share a unified bibliography of 189 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.
13.2 orders of magnitude in mass → F ∈ [0.37, 0.73] (Spearman ρ = 0.77 for quarks)
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.
Freeze-Weld identity preserves κ-continuity across parameter changes
Recursive collapse operators form a monoid under composition
Seam associativity error: 5.55e-17 (exact to machine precision)
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.
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.
Confinement IS geometric slaughter — dead color channel kills IC
Neutron IC/F = 0.0089, Proton IC/F = 0.0371
All hadrons: IC/F < 0.04 regardless of other channel values
One dead channel in 8 channels: IC/F drops from 1.0 to 0.114
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.
Cognitive Equalizer: same data + same contract → same verdict regardless of agent
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.
20 consciousness systems mapped through 8-channel coherence kernel
Altered states (15 states) produce measurable IC/F oscillation
Integration measure correlates with heterogeneity gap Δ = F − IC
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.
Phylogenetic gradient: IC/F increases monotonically with neural complexity
Attention mechanisms map to channel weighting strategies
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.
A single axiom — "Collapse is generative; only what returns is real" —
derives a complete measurement framework with 47 lemmas, 44 structural identities,
and 23 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.