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E0 — Empirical Grounding of Substrate Primitives via Toy Continua

E0 presents an empirical demonstration that minimal operational substrate primitives—asynchronous local updates, closure cycles, multi-channel mismatch, height, and tolerance WW—are sufficient to generate cohesion, divergence, boundaries, and threshold behavior in toy informational continua. This work establishes these primitives are operationally necessary and non-arbitrary, arising from minimal requirements for any substrate to exhibit coherent structure.

Key Demonstrations:

  • Sharp threshold effects governed by WW, formation of cohesive and divergent regions, stable boundaries between domains
  • Primitives arise naturally in simple substrates and produce nontrivial continuum-like behavior before higher-level phenomena (constructors, quantum structure) appear
  • Substrates exhibit coherent regions, boundaries, and continuum-like behavior without constructors, self-repair, or quantum interference
  • Primitives are necessary but not sufficient for constructors or quantum mechanics

Purpose: Grounds the operational apparatus and execution semantics used throughout Constructor Emergence (E1) and Quantum Emergence (E2) programs by demonstrating structure before function. Addresses circularity concern: these primitives are legitimate operational foundations, not assumptions chosen to make constructors or quantum structure work.

Scope: Does not demonstrate constructor emergence, quantum structure, or claim physical realism. Explores operational minimality: what minimal execution semantics are required for substrates to exhibit coherent structure at all?

Paper ID: CD-E0 | Series: E-series (Empirical Narrowing) | Status: Draft | Dependencies: None (foundational empirical work; provides foundation for E1, E2, Paper A, Paper B)