Published May 7, 2025 | Version v1
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(Working Draft) A Discrete BCC Lattice Framework for Fermion Masses, Quantum Fields, and Gravity

  • 1. unaffiliated

Description

This paper is a companion draft to the core Discrete Fermion Masses from Symmetry-Constrained Voxel Clusters on a BCC Lattice. In it, we show how the same body‑centered cubic lattice of “mass‑on” voxels that reproduces the Standard‑Model fermion mass hierarchy also gives rise, via a combinatorial Selection Function over lattice transitions, to effective gauge‑field dynamics and an emergent description of spacetime curvature. Highlights include (1) a sketch of how discrete adjacency constraints map onto Yang–Mills action terms, and (2) a statistical‑mechanics derivation of an entropic force law analogous to General Relativity. This supplemental material offers a broader conceptual and mathematical perspective on the BCC‑voxel approach and outlines directions for numerical simulation of its QFT and gravitational limits.

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