September 8, 2026Open Access
The Carlo Field: Dual‑Truth Architecture, Reflexive Stability, and Complete Canon Compendium
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Implication
Theoretical analysis demonstrates reflexive stability and paradox absorption in a synthetic mathematical universe, suggesting a unified framework for conceptual and fictional logic.
Key Points
- Formalize the structural, operational, and philosophical principles of the Carlo Field as a collapse-tolerant mathematical logic capable of stabilizing fictional and conceptual propositions.
- Formulated a truth-neutral architecture governed by recursion operators and collapse operators.
- Catalogued system operators, truth modes, recursion patterns, and collapse behaviors across a three-document compendium.
- Designed structural diagrams, paradox-absorption schematics, and capability matrices based on the invariance condition K(R(S)) = S.
- Defined Carlo-truth mathematically as the condition where statement S stabilizes under recursive expansion and collapse such that K(R(S)) = S.
- Demonstrated that conceptual insights and fictional assertions achieve structural stability independent of empirical verification.
Cite This Study
Matthew Arthur Carlo (2026) studied this question.