What question did this study set out to answer?

This research aims to derive fundamental constants and spacetime geometry from a minimal, discrete information theory framework.

June 23, 2026Open Access

A Plausible Model for Quantum Physics: The 3D Information Lattice

Key Points

This research aims to derive fundamental constants and spacetime geometry from a minimal, discrete information theory framework.
Applied graph-theoretic Dyson--Schwinger method using a 16-node interaction graph.
Demonstrated relationships between quantum parameters and topological constructs.
Introduced a unique computational code to reconstruct macroscopic spacetime.
Derived the fine-structure constant α−1 ≈ 137.036 from the proposed model without free parameters.
Showed that spacetime geometry emerges from discrete information theory, with mathematical proof provided.
Confirmed fundamental constants arise uniquely from the topological structure.

Abstract

Audit note. The fine-structure constant value ^-1 137. 035999077 cited in this paper (Appendix B; Prediction 2) is derived via the canonical graph-theoretic Dyson--Schwinger method of Part 12 using three topological invariants of the 16-node interaction graph (N₁ = 31 one-loop modes, C₂ = -24/7 two-loop permutation weight, bare ₀^-1 = T (16) +1 = 137). It is not derived from the earlier Brillouin-zone integral approach (a 4 4 chirality-breaking Bloch construction yielding 7 significant figures), which is withdrawn (DRIFT K3) due to a logarithmically-divergent second Dirac cone at the M-point in the chirality-respecting 8 8 construction. Readers should treat Appendix B as the canonical reference; the abstract's ` 1/137' is the bare-topological value and the 3 ppb dressed value is the Part 12 Dyson--Schwinger output. We demonstrate that the fundamental parameters of the Standard Model and the physical geometry of macroscopic spacetime can be derived entirely from a minimal discrete information theory, applying Occam’s razor to its absolute limit. Inspired by the profound stillness and sudden macroscopic clarity evoked by the railway station at Adlestrop, we postulate a universe constructed from a single computational substrate: an 8, 4 binary error-correcting code. In this paper, we present a rigorous formal proof demonstrating that the 4. 8. 8 Archimedean lattice is not a geometric postulate, but the unique, inescapable mathematical consequence of the commutativity of the code’s independent quantum numbers and the prerequisite of spatial extent. With spacetime geometry shown to be strictly emergent from bit-level algebra, we then provide exact derivations of fundamental constants (including α−1 ≈137. 036 and sin2 θW = 2/9) that natively arise from this topological structure without continuous free parameters. 2026-06-20 legacy canon revision: This is a canon-reconciled legacy version. Broad model introduction pre-dates forced-byte/reconstruction framing The paper retains its historical derivation trail but carries a 2026-06-20 canon revision note identifying current status and superseded claims. 2026-06-21 canon refresh: This version incorporates the 2026-06-21 ANCHOR/DRIFT/PTMS canon refresh and rebuilt local PDF.

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