Scaler Lattice Model

Canonical version (DOI): https://doi.org/10.5281/zenodo.18498215 Modern physics typically begins by postulating the field content of the Standard Model and the spacetime geometry of General Relativity. This monograph instead adopts a single microscopic ontology: one complex microfield on a four-dimensional lattice, coupled locally and organized by an axis-unbiased asynchronous update structure, with the vacuum realized as a stable condensate phase of that field. The central claim is that this minimal one-medium framework is sufficient to generate the known sectors of physics without introducing separate fundamental photons, fermions, Higgs field, or metric at the starting level. Matter appears as stable localized defects of the condensate. Gauge structure appears as the consistency bookkeeping required to compare neighboring phases and textures. Fermionic behavior appears in the ordered operator structure induced by local update composition. Gravity appears as the long-distance stress-response of the same medium. Within this framework, dimensionless constants are not inserted by hand but arise from lattice geometry and internal closure conditions. The fine-structure constant is one explicit example: it is computed from the compact U(1) sector and the vacuum stiffness structure rather than treated as a free input, yielding a definite numerical value in close agreement with observation. More broadly, vacuum selection, particle hierarchy, induced couplings, and late cosmological scales are developed as consequences of one field, one vacuum, and one local dynamical scheme, with explicit unit anchors introduced only where needed to express results in standard physical units. This document presents the theory as a formal, auditable construction. It states the microscopic starting point, derives the admissible composite sectors, exhibits the numerical closure chains, and distinguishes between what is derived, what is operationally read out, and what remains an interpretive bridge.