Logic Realism Theory

Papers

The Logic Realism Theory paper suite

The LRT research programme consists of a coordinated suite of papers, each building on the foundational framework while addressing specific derivations and extensions.


Core Framework

Logic Realism Theory: Physical Foundations from Logical Constraints

The foundational Position Paper establishing the $I_\infty$/$A_\Omega$ ontology, the vehicle/content distinction, and the core thesis that $L_3$ (Identity, Non-Contradiction, Excluded Middle) constrains physical instantiation.

Position Paper | January 2026
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It from Bit, Bit from Fit: Foundational Physics Logically Remastered

Extends LRT to quantum mechanics, arguing that quantum structure is the unique stable interface between $I_\infty$ and $A_\Omega$. Grounds Wheeler's "it from bit" in logical foundations.

Conceptual Synthesis | January 2026
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Logic Realism Theory: Philosophical Foundations (v3, Tahko)

Revised philosophical foundations paper engaging Tahko's work on grounding and ontological dependence. Situates LRT within contemporary analytic metaphysics, clarifying the relationship between logical admissibility and physical necessity.

Philosophical Foundations | March 2026 | PDF
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Technical Derivations

The Born Rule from Determinate Identity (earlier version)

Earlier, more concise treatment. Derives the Born rule ($|\langle\phi|\psi\rangle|^2$) from vehicle-weight invariance. Shows that Determinate Identity forces the additivity and non-contextuality conditions required by Gleason's theorem.

Technical Derivation | December 2025
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Complex Hilbert Space from Determinate Identity

Derives complex Hilbert space structure from Determinate Identity via local tomography. Shows that the Masanes-Müller axioms are consequences of $L_3$ constraints, not independent postulates.

Technical Derivation | December 2025
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Quantum Statistics from Determinate Identity

Derives the symmetrization postulate (bosons/fermions) from Determinate Identity applied to systems of identical particles. Shows that permutation symmetry is forced by $L_3$, not an independent axiom.

Technical Extension | December 2025
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Extensions

Spacetime from Determinate Identity

Explores consequences of Determinate Identity for spacetime structure. Derives temporal ordering from joint inadmissibility, argues for Lorentzian signature, excludes closed timelike curves. Programmatic.

Programmatic Extension | December 2025
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Computational

Numerical Exploration of Information Circulation Cosmology

Computational study of the ICH dark energy mechanism. Demonstrates Λ-like behavior ($w_\text{eff} \approx -1$) across parameter space, assesses fine-tuning, and compares with SNe Ia distance modulus observations.

Simulation Study | February 2026 | In Progress
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Demonstrating Structural Drift Stabilization in Autoregressive Transformers

Empirical study of structural drift in autoregressive transformer models and methods for stabilization. Related to LRT's treatment of representational stability and the admissibility constraints that govern coherent inference over extended sequences.

AI Systems Research | March 2026 | PDF
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Reading Order

For readers new to LRT, we recommend:

  1. Position Paper — Start here for the core framework
  2. Born Rule Derivation (2026) — Full five-stage derivation with formal axioms (recommended)
  3. Hilbert Space Paper — Completes the quantum structure derivation
  4. It from Bit — Conceptual synthesis and Wheeler connection
  5. QFT Statistics — Extension to particle statistics
  6. GR Extension — Programmatic spacetime implications
  7. Philosophical Foundations v3 (Tahko) — Metaphysical grounding and analytic context
  8. ICH Simulation — Computational exploration (optional, in progress)

Note: The 2025 Born Rule paper is an earlier, more concise version superseded by the 2026 derivation.

Each paper can be read independently, but together they form a unified derivation from foundational logic to quantum mechanics and beyond.


Citation

All papers are archived on Zenodo with persistent DOIs. Please cite the archived versions for academic reference.