Emergence I: A Deterministic Model from Wave Intersections on a Pre-Geometric Canvas

We present a deterministic, background‑independent model in which spacetime, quantum fields, gravity, and all known physical phenomena emerge from a single set of first principles: a pre‑geometric canvas, intensity waves, and threshold crossings. The model does not assume spacetime, particles, or probability. These emerge from wave intersections on a canvas — a primordial container with no predefined geometry. Open waves propagate as intensity waves. When two open waves intersect above a threshold, they close into a closed wave — a particle. When a space wave and a time wave intersect above a threshold, a closed wave (spacetime particle) forms. These particles collectively form a discrete voxel lattice, which is physical spacetime. Gravity arises from compression of this lattice. Quantum fields have much smaller wavelengths and ride on the canvas, localizing into particles only upon measurement. The model reproduces all major equations of physics — Schrödinger, Dirac, Maxwell, Klein–Gordon, Yang–Mills, and Einstein — from the same postulates. It derives the Born rule, solves the measurement problem, avoids black hole singularities, and makes testable predictions including a cutoff in the CMB power spectrum and energy‑dependent speed of light. --- Update: Revised Abstract