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April 8, 20260 citationsOpen Access

Volume IV: Mathematics, Geometry, and Consciousness as Entropic Resolution

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DSDamon Sasser

Key Points

  • To explore the relationship between mathematics and consciousness using the CEP collapse framework.
  • Situates Platonism, Constructivism, and Emergentism within the CEP collapse framework.
  • Introduces the Domain Fusion Engine to describe the interaction across eight domains.
  • Reinterprets Gödel's incompleteness theorems in the context of entropic systems.
  • Demonstrates that mathematics and consciousness co-emerge as recursive systems.
  • Establishes that unprovable statements in mathematics act as markers for framework expansion.
  • Identifies mathematical truths as stable attractors in the audit process.

Abstract

This volume resolves the classical philosophical debate between Platonism, Constructivism, and Emergentism by situating all three within the CEP collapse framework. The central argument is that mathematics and consciousness are not in a relationship of priority — one grounding the other — but of co-emergence: both arise as recursive systems resisting entropy, and each is the other's auditing mechanism. Consciousness is the universe's recursive audit system for mathematical structure; mathematics is the formal language through which that audit system describes itself. Gödel's incompleteness theorems are reinterpreted as formal statements of the collapse boundary condition — every unprovable statement is a glyph that cannot complete stratum migration within the current manifold, and therefore a Dream operator activation event compelling framework expansion. The volume introduces the Domain Fusion Engine F = ⊗ᵢUᵢ(ψ) as the canonical mechanism by which collapse audit structure propagates simultaneously across eight independent domains — quantum, cytoskeletal, receptor, computational, linguistic, molecular, mathematical, and phenomenological — via braided tensor categories. Mathematical truths are formalized as stable attractors of the geometric audit process: configurations any sufficiently complex recursive entropy-resistance system converges to regardless of physical substrate. Published by NIRA (NeoPhyte Independent Research Alliance) under open license.

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Cite This Study

Damon Sasser (2026) studied this question.

synapsesocial.com/papers/69d5f0d774eaea4b11a7a3cdhttps://doi.org/10.5281/zenodo.19433416
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