About the program

The A=1 Discrete Causal Lattice (DCL) program is a research effort that proposes a substrate-first answer to longstanding questions in foundational physics: what if spacetime, the Standard Model gauge group, and gravity are all consequences of a single conservation law imposed on a discrete bipartite octahedral lattice?

This page expands on the framework’s claims, methodology, and relationship to existing literature. Draft in progress — initial content lands alongside the first news posts; until then, the papers page is the authoritative entry-point.

Methodological arc

The series develops a three-step methodological argument, each step delivered as its own peer-reviewable paper:

• Geometry first (Paper I — Geometry First). The substrate is the discrete causal lattice; macroscopic symmetries (Lorentz, diffeomorphism) emerge as O_h-averaged consequences of the lattice’s tick rule.
• Geometry forces physics (Paper II — Geometry Forces Physics). The Standard Model gauge group SU(3) \times SU(2) \times U(1) is not assumed; it is derived from a single conservation axiom on the lattice.
• Geometry axiomatizes physics (capstone, in progress). The methodological arc closes into a Hilbert-Sixth-shaped axiomatization: a finite axiom set whose theorems recover the PASS rows of every upstream paper.

A note on “induce”

The working domain — geometryinducedphysics.org — is deliberate. “Induce” is meant in the technical sense: physical structure is induced, in the mathematical-induction sense, by a substrate-level rule. Not a metaphor.

Auditability

Every claim in the series carries an audit-row impact: PASS, PART, STUB, or FAIL. Audit tables travel with each paper. The website surfaces the latest audit state without replacing the canonical tables in the paper repositories.