General Transfer-of-State Model (GTOSM): Foundations of Physics – Transition Calculus Core – From Continuous Fields to Discrete Update Mechanics

This manuscript is the core mathematical reference that makes GTOSM operational as a closed, tick-by-tick update system and a strict translation layer to and from standard physics. It is deliberately non-narrative: it contains only primitives (with explicit symbolic forms and units), a fully specified one-tick state update map with ownership semantics, and a bidirectional dictionary that rewrites standard quantities (time, energy, momentum, phase, temperature, gravity images, etc.) in GTOSM primitives on declared coarse-graining windows. Two operative objects drive the document: Measurement as a physical registrar event: measurement is defined as a fermionic non-optimal transfer (η=1) at a boundary corridor, with explicit bookkeeping consequences (forced completion, constraint replacement, exported-bias deposition, and dimensional-adjustment accounting). Pre-measurement evolution is treated separately on η=0 windows via a unitary ledger representation where appropriate. Suppression of infinities by construction: continuum divergences are eliminated through a constrained replacement calculus that substitutes ill-posed limit expressions (UV integrals, δ-sources, denominator blowups, and strong-field singularities) with finite, bounded lattice surrogates, yielding computable error bounds and audit-ready conservation bookkeeping. The document closes the loop by stating correspondence theorems with checkable hypotheses (Born-rule emergence under a fixed hazard coupling, causal locality/no superluminal signalling, Schrödinger correspondence on η=0 windows, weak-field gravity images under calibrated closure, and thermodynamic-limit consistency). The result is a publication-grade, implementation-ready “dictionary-and-dynamics” standard: translate in, evolve under fixed rules, translate out—without per-phenomenon tuning.Standalone follow-up work on: Necsanu, R. (2025). General Transfer-of-State Model (GTOSM): A Minimum Structural Reconstruction of Quantum Mechanics, Gravitation, and Cosmology. Zenodo. https://doi.org/10.5281/zenodo.17992660ORCID: https://orcid.org/0009-0009-1281-9180GTOSM Fundamentals(definitions): Necsanu, R. (2026). General Transfer-of-State Model (GTOSM): Foundations of Physics – Fundamentals From Continuous Fields to Discrete Update Mechanics. Zenodo. https://doi.org/10.5281/zenodo.18166795