Coherence-Relational Blockworld Framework
The Coherence-Relational Blockworld framework is a closure-first, adynamical approach to physical ontology. It models reality not as a system evolving through time, but as a single globally admissible relational configuration. Geometry, physical invariants, projection, identity, and phenomenological structure arise as representational consequences of global closure rather than as independent ontic primitives.
The documents below are organized by tier, progressing from foundational axioms through structural principles, mathematical construction, geometric formalism, and phenomenological interpretation.
Tier 0 — Foundational Layer
Axioms of Ontic Minimalism (AOM)
Defines the minimal ontological commitments of the framework, including global closure, invariance, and the exclusion of unnecessary ontic structure. It serves as the canonical foundation for all subsequent work.
Principles of Ontic Minimalism (POM)
Develops the structural consequences of the axioms, introducing admissibility, projection, and minimal realization as organizing principles. This document bridges ontology and mathematical construction.
Representational Neutrality (RN)
Representational Neutrality is a methodological principle stating that no mathematical representation or admissible decomposition acquires ontological status solely because it is successful. RN distinguishes representation, decomposition, invariance, and ontology, providing a guardrail against representational reification throughout the cRBW/MM framework.
Tier 1 — Core Physical Framework
Coherence-Relational Blockworld (cRBW)
Introduces the closure-first blockworld interpretation. Spacetime, observers, and physical structure are treated as projections of a globally constrained relational configuration rather than evolving entities.
Mathematical Model for the Coherence-Relational Blockworld (MM)
Provides the primary mathematical realization of the framework using Regge calculus, geometric algebra, and Grassmannian geometry. Introduces the capacity tensor, coherence functional, and projective structure governing admissible configurations.
The 3-Mode Coherence Sector
Introduces a minimal three-mode coherence sector and a variational mixing principle that organized CKM and PMNS behavior as different regimes of the same underlying geometry.
Tier 2 — Projection and Local Geometry
Global Closure and Decomposition Invariance: A Reconstruction Argument for Residual Geometry (GCDI)
Shows how quadratic Hilbert-like geometry emerges from decomposition-invariant admissibility reconstruction, grounding orthogonal projection and residual conditioning within closure-first relational ontology.
Projection Residual Geometry (PRG)
Formalizes admissibility as projection onto a constraint-defined set. Defines the projection residual and establishes the global geometric structure of admissible configurations.
Closure-Restoration Geometry (CRG)
Extends PRG to local structure, introducing projector-based geometry, tangent/normal decomposition, and curvature associated with admissibility.
Global Capacity Invariants and Normalization (GCIN)
Develops admissibility-constrained global normalization, where invariant classes jointly reconstruct closure-compatible physical scale through NOE-minimal capacity allocation and cross-sector consistency.
Residual Space Geometry (RSG)
RSG studies the invariant relational structure of admissibility deficits after projection. Residual representatives are organized into equivalence classes under admissible re-description, yielding a quotient geometry whose descended observables provide a general framework for diagnostic analysis across domains.
Hilbert Space from Global Closure and Decomposition Invariance (HS)
This paper derives Hilbert reconstruction geometry from global closure and decomposition invariance, identifying residual-content additivity as the structural origin of -type geometry. Real Hilbert space emerges from residual-content valuation and completion, while complex Hilbert space follows from closure-conjugate structure rather than postulation.
Tier 3 — Structural Consequences and Identity
Structural Invariants and Ratios
Shows that physical invariants arise as projective, dimensionless ratios enforced by admissibility, rather than as independent constants.
Identity and Ontic Minimalism
Reframes identity as continuity of admissible relational structure, removing the need for persistent underlying substances.
Tier 4 — Phenomenology and Relational Experience
Relational Structural Experience (RSE)
Develops a structural account of experience as admissible, recursion-preserving selection within a globally constrained configuration.
Phenomenology in a Relational Blockworld
Explores how internal perspective and experiential structure arise within an adynamical blockworld.
Recognition Anchoring Across Indexing Inequivalence
Analyzes continuity and recognition across systems with incompatible indexing structures, including human–AI interaction.
[to be added] Identity in a Relativistic World
Applies closure-first identity to relativistic contexts, showing how observer-dependent descriptions emerge from projection.
[to be added] From What It Is Like to Reflexive Closure
Reinterprets phenomenological language in structural terms, replacing qualitative primitives with reflexive closure.
Tier 5 —Applications
Tier 5 —Applications
The Uncertainty Principle in a Closure-First Framework
Reinterprets uncertainty as a structural feature of admissibility and noncommutativity rather than a dynamical limitation.
Neutrino Mass and Oscillation
This paper analyzes neutrino oscillations within a closure-first relational framework, showing that oscillation-supporting readout requires both non-degenerate internal eigenvalues and nontrivial projection misalignment. Standard oscillation structure is recovered as a phenomenological representation of coherence transport.
[to be added] Photon, Gauge Structure, and Closure
Examines gauge structure and field behavior as admissibility-preserving relations rather than ontic field dynamics.
Recommended Reading Path
- Axioms of Ontic Minimalism (AOM)
- Principles of Ontic Minimalism (POM)
- Coherence-Relational Blockworld (cRBW)
- Mathematical Model (MM)
- PRG → CRG
- Follow with identity, phenomenology, or applications depending on interest
