Emergence II: Compatibility of the Canvas Model with Standard Quantum Mechanics

This paper is the second in the Emergence series (Vol. 1, Paper II). It demonstrates that the canvas model — a deterministic, pre‑geometric framework introduced in Emergence I — is fully compatible with standard quantum mechanics. The core equations of the canvas model (wave equation, threshold condition, quantization, Born rule, back‑reaction) are shown to be consistent with the mathematical structure of quantum mechanics. Standard quantum phenomena are reinterpreted within the canvas framework: · Quantum tunneling — exponential suppression of transmission through a barrier· Casimir effect — zero‑point waves on the canvas· Unruh effect — acceleration as primitive (wave equation is second order)· Aharonov–Bohm effect — canvas phase as hidden variable· Berry phase — geometric phase accumulation in the canvas phase· Quantum Zeno effect — frequent threshold checks freeze evolution· Quantum decoherence — environmental waves randomize phase· Hong–Ou–Mandel effect — destructive interference of identical closed waves· Spontaneous parametric down‑conversion — threshold crossing creates entangled pairs· Feynman diagrams — physical wave intersections on the canvas· Bell inequality violation — shared canvas phase as non‑local hidden variable· Quantum teleportation — Bell state measurement via threshold crossings What this paper does:Establishes that the canvas model does not contradict quantum mechanics. It provides a consistent reinterpretation of quantum phenomena in terms of wave intersections, threshold crossings, and canvas phase. What this paper does not do:Derive the Schrödinger equation or Dirac equation from first principles. Those remain open problems (see Emergence I, Section 9). This paper is a compatibility study, not a derivation. Why this paper matters:Compatibility with quantum mechanics is a necessary condition for any candidate theory. The canvas model passes this test. The shared canvas phase provides a natural mechanism for non‑local correlations (Bell inequality violation) without faster‑than‑light signaling — a feature many hidden variable theories struggle to achieve cleanly. This paper is for physicists, philosophers of physics, and anyone interested in foundational approaches to quantum mechanics. It shows that the canvas model is a serious contender that does not conflict with established quantum theory. Keywords: canvas model, quantum mechanics, compatibility, wave intersections, hidden variables, Bell inequality, quantum foundations, Feynman diagrams, quantum tunneling, Casimir effect, quantum teleportation