Papers

Every paper in the A=1 Discrete Causal Lattice series. Each entry points to the canonical Zenodo deposit (where applicable), the working repository, and the current version.

Published

Paper I — Geometry First

The substrate-priority paper. Establishes the discrete bipartite octahedral lattice as the ontological substrate and recovers Lorentz invariance as an O_h-averaged consequence of the tick rule.

Paper II — Geometry Forces Physics

Derives the Standard Model gauge group SU(3) \times SU(2) \times U(1) from a single conservation axiom on the lattice. Leaves the gauge-coupling prefactor c open; closure is the centerpiece of the planned discrete-probability paper.

In progress

Paper III — Tidal Ionization and the Quantum Roche Limit

A third ionization channel (gradient detuning) alongside the standard thermal (Saha) and pressure (Pauli) channels. Predicts an atomic ISCO with two observational signatures (21 cm HI inner-edge morphology near compact objects, Fe K\alpha line-profile inner edge in accretion disks).

dcl-generator-zoo — Catalogue of the 71-dim per-site automorphism algebra

A standalone catalog paper / artifact for the lattice’s automorphism algebra; consumed by Paper II’s gauge derivation and the planned proton-internals paper.

dcl-core — Python engine

The simulation engine that underlies the experiment scripts in the paper repositories. dcl_core.core + dcl_core.core3d.

  • Version: v0.1.0-dev
  • Repository: dcl-core

Planned

The following subprojects are in the framework’s forward-looking design but not yet drafted:

  • Discrete-probability paper — empirical companion to dcl_core.core3d v1.0; the centerpiece showcase closes Paper II’s open gauge-coupling prefactor.
  • dcl-formalism package + paper — a sympy-extending formalism package (axioms / theorems / continuum-limit primitives) and companion paper. Designed to support the Hilbert-Sixth capstone.
  • Hilbert-Sixth axiomatization — Geometry Axiomatizes Physics. The methodological capstone tying Papers I → II → III → discrete-probability → dcl-formalism into a single axiomatic treatment.
  • Proton internals — a future paper that consumes Paper II’s SU(3) machinery and the generator-zoo catalog.