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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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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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. 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.