Substrate Ontology: A Complete Logical Construction From Discrete Substrate to the Layered Emergence of Physical Reality V4.0

Version History · V3.3: Established the three axioms, deriving the necessity of entropy increase and the dissolution of singularities as logical consequences. · V3.6: Introduced the dynamic precision horizon, unifying cosmology and quantum mechanics. · V3.7: Reconstructed the mathematical foundation, dissolving the three mathematical crises. · V3.8: Established the rebirth mechanism and observer‑substrate coupling, completing the dynamical modeling. · V3.9: Achieved logical closure and philosophical foundation, clarified testable predictions, and paved the way for formalization. · This version (4.0) builds upon v3.9, integrating all philosophical and logical content from v3.3–v3.9, with the following major refinements: o Explicit unification of algebraic number truncation into the entropy increase framework, demonstrating that algebraic operations on rational numbers necessarily produce "algebraic deficits" that share the same origin as transcendental deficits and collectively contribute to entropy increase. o Addition of Section 9.6: "The Essence of Measurement: Physical Computation and Inevitable Distortion", elucidating the nature of measurement as finite-precision physical computation and establishing that regular "distortion" is a clue to knowledge, not an obstacle. o Clarification of the status of general relativity as a low-energy effective theory in Chapter Ten, leaving detailed derivation of relativistic effects for future work, thereby maintaining focus on logical foundation. · Release Date: March 2026 · Author: Zhou Jingsong