CC2: Canvas Combinatorics 2: The Dynamics Table — How the Four Pillars Govern Every Physical Structure

The Emergence Canvas Model classifies all physical phenomena by combinations of eight primitive concepts, generating 2^8 - 1 = 255 non-empty subsets. Each subset corresponds to a specific physical structure. The combinatorial table (Part 1) answers the question: which primitives are present? This paper provides the complete answer to the complementary question: how does each structure behave? We construct the full dynamics table for all 255 entries. For each entry, we specify: the primary Pillar(s) governing its evolution, the form of the governing equation, its conservation laws, its interaction products, and its emergent physical quantities. The Four Pillars: · Pillar I (The Unified Wave Equation): Governs the continuous evolution of all fields—the vast majority of entries. Every equation of motion in physics is a special case of this single equation.· Pillar II (The Threshold Condition): Governs the discrete formation of particles and spacetime structure. Particles are closed waves formed when intersecting wave intensities exceed a critical threshold.· Pillar III (The Eigenvalue Equation): Governs the organization of particles into spectral families. The three eigenvectors of the threshold tensor determine the three fermion generations.· Pillar IV (The Feed Equation): Governs the attractor dynamics that fix parameter values. Gauge couplings, moduli VEVs, and threshold factors are driven to fixed points. Key results: For the 53 entries corresponding to known physics—the Standard Model particles, the fundamental fields, and the key physical quantities—we provide the complete dynamical specification. For the remaining 202 entries, we provide the Pillar assignment and equation form inferred from the compositional rule that generates the combinatorial table. The dynamics table reveals a central insight: the same primitive combination can manifest as different physical quantities depending on which Pillar acts and in what context. The combination P1×P2×P3 (Order × Amplitude × Acceleration) corresponds to momentum (Pillar I), force (Order acting twice), work (Order integrated over space), and kinetic energy (Work integrated)—four different physical quantities from one primitive combination. What this paper provides: · Complete Pillar assignment for all 255 entries· Governing equations for each entry· Conservation laws derived from symmetries· Interaction products and emergent quantities· Distribution of Pillars across the entries (Pillar I: ~200 entries, Pillar II: ~20, Pillar III: ~80, Pillar IV: ~30)· Status table: 71 entries fully specified, 184 partially specified (higher-level combinations awaiting detailed exploration) The dynamics table, together with the combinatorial table (Part 1), 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. Together, they constitute the operating system of physical reality—the Physics OS. Status: This paper is Part 2 of the Canvas Combinatorics series. It is the companion to Part 1 (The Combinatorial Table). Part 3 (The Processes Table) will specify how the entries interact. Together, the three tables form the complete specification of the Emergence Canvas Model. Keywords: canvas model, dynamics table, Four Pillars, Unified Wave Equation, threshold condition, eigenvalue equation, feed equation, emergence, unified framework, Physics OS