A=1 Discrete Causal Lattice

Geometry first. Geometry forces physics. Geometry axiomatizes physics.

Diagram of the A=1 architecture: a central nucleus node t_n0 with six labeled neighbours t_n1..t_n6 in RGB (red, green, blue) and CMY (cyan, magenta, yellow), reached by basis vectors V1, V2, V3 (and their negatives). A legend table on the right gives the (x,y,z) coordinates and spin role for each basis.

Bipartite octahedral lattice — the A=1 substrate. RGB and CMY basis directions V_1, V_2, V_3 encode even / odd ticks; A=1 implies |\psi_R|^2 + |\psi_L|^2 = 1 (from Paper~I).

The A=1 Discrete Causal Lattice (DCL) program takes a single conservation law on a bipartite octahedral lattice and uses it to recover, in order, Lorentz invariance, the Standard Model gauge group, gravity from clock-density, and a quantum analogue of the Roche limit. Successive papers in the series advance a single methodological arc:

  1. Geometry first (Paper I) — the substrate is a discrete causal lattice, and the rest follows.
  2. Geometry forces physics (Paper II) — the Standard Model gauge group is derived from a single conservation axiom.
  3. Geometry axiomatizes physics (capstone, in progress) — the methodological arc is closed into a Hilbert-Sixth-shaped axiomatization.

This site is the public surface for the series. It tracks news, hosts research artifacts that don’t fit a paper-figure shape (3D models, animations, interactive visualizations), and gives an entry-point for readers, collaborators, and endorsers.

Where to start

  • Papers — the canonical series, with Zenodo DOIs, arXiv links, and repository links.
  • Research artifacts — 3D models, visualizations, interactive demos.
  • News — releases, deposits, talks, milestones.
  • Essays — short-form methodological writing.

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