CC3: Canvas Combinatorics 3: The Processes Table — How Physical Structures Interact

This paper presents the third and final component of the Physics OS: the Processes Table. It specifies which entries in the Combinatorial Table (Part 1) can interact, what selection rules govern those interactions, and what the products are. The central result is a primitive conservation law: gauge interactions cannot change the primitive composition of a physical structure. Only threshold crossings—the formation and decay processes governed by Pillar II—can add or remove primitives from a fermion or boson. This law follows from the structure of the Sign/Gauge field (P4×P8, entry #22 in the Combinatorial Table): gauge bosons carry gauge quantum numbers but do not carry dynamic primitives as transferable quanta. Five selection rules are derived from the Four Pillars. Rule 1 (Pillar I): interacting entries must share at least one dynamic primitive. Rule 2 (Pillar II): the combined intensity must exceed the interaction threshold. Rule 3 (Pillar III): gauge quantum numbers must be conserved. Rule 4 (Pillar IV): coupling strengths are determined by attractor values. Rule 5 (Primitive Conservation): gauge interactions preserve primitive composition; only threshold crossings change it. These rules are tested against the Standard Model. All observed processes—muon decay, top quark decay, strange quark decay, Higgs production via gluon fusion, electron-positron annihilation—satisfy the rules. Forbidden processes—μ → eγ, flavor-changing neutral currents, ee → ττ via Z exchange, proton decay, right-handed charged currents—are correctly predicted to be absent. The rules provide deeper explanations for empirical facts that the Standard Model takes as inputs: flavor conservation in QED and QCD follows from the inability of U(1) and SU(3) gauge fields to transfer Polarity; the CKM matrix encodes the overlap between gauge eigenstates distinguished by their P4 content; proton stability follows from the absence of any primitive combination mediating quark-to-lepton transitions. The Processes Table makes specific, falsifiable predictions. If any process that changes primitive composition is observed to be mediated by a gauge boson without an intermediate threshold crossing, the canvas model is falsified. Current experimental limits from MEG (Br(μ → eγ) < 4.2 × 10⁻¹³), Mu2e, Belle II, and Super-Kamiokande are consistent with the predictions. Future data will provide stringent tests. Together with the Combinatorial Table (Part 1) and the Dynamics Table (Part 2), the Processes Table forms the complete specification of the Canvas Model's predictions. The Combinatorial Table tells you what exists. The Dynamics Table tells you how it behaves. The Processes Table tells you how things interact. The three tables constitute the Physics OS—the operating system of physical reality. Keywords: canvas model, emergence, unified framework, processes table, selection rules, primitive conservation, Standard Model, gauge interactions, flavor physics, proton decay, muon decay, Physics OS