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Probability as Structural Underdetermination

Lisa Doumbouya

Published Dec 19, 2025• 0 citations
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Abstract

Superseded Version Notice This record contains an earlier version of a paper developed within Phase Compatibility Theory. Phase Compatibility Theory is a living research framework that is being progressively audited, consolidated, refined, and tested. Its current definitions and theoretical structure are maintained through updated versions of the principal and supporting theory papers. This version is retained in restricted form for archival and DOI continuity and should not be treated as representing the current formulation of the theory. Readers should refer to and cite the current version of this document.

DOI
10.5281/zenodo.17987916

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Superseded Version Notice This record contains an earlier version of a paper developed within Phase Compatibility Theory. Phase Compatibility Theory is a living research framework that is being progressively audited, consolidated, refined, and tested. Its current definitions and theoretical structure are maintained through updated versions of the principal and supporting theory papers. This version is retained in restricted form for archival and DOI continuity and should not be treated as representing the current formulation of the theory. Readers should refer to and cite the current version of this document.
Superseded Version Notice This record contains an earlier version of a paper developed within Phase Compatibility Theory. Phase Compatibility Theory is a living research framework that is being progressively audited, consolidated, refined, and tested. Its current definitions and theoretical structure are maintained through updated versions of the principal and supporting theory papers. This version is retained in restricted form for archival and DOI continuity and should not be treated as representing the current formulation of the theory. Readers should refer to and cite the current version of this document.
I’ve shared updated versions of my work on Dynamic Probability Space Theory (DPS). These papers develop a framework in which probability itself is treated as a fundamental structural principle of existence, formalized through the Existence Field Equation and dynamic probability flow. Versions 1.2 and 1.3 are presented here as independent preprints, reflecting an ongoing theoretical exploration of reality, observation, and cognition. Related updates may be available at: patreon.com/NMStructuralTheoryLab
This document is an archived working version representing an early and incomplete attempt to describe the dual-sheet informational dynamics that were later developed in more refined working papers. It contains preliminary ideas and an initial conceptual sketch of the structure that was referred to as Specular Quantum Dynamics and Emergent Relativity during the exploratory phase of the research program. The material presented here does not reflect the current formulation of the Specular Field Theory. It was drafted as an early attempt to organize the dual-sheet manifold, the specular field, the informational boson, and the interpretation of quantum and geometric regimes as complementary limits of a single informational mechanism. These ideas were subsequently revised, refined, and superseded by later documents. This record is preserved only for developmental continuity and traceability across prior versions. Updated working papers provide improved conceptual clarity, revised interpretations, and the current direction of the framework.
This document is an archived working version representing an early and incomplete attempt to outline the quantum regime of the dual-sheet informational framework. It contains preliminary ideas and an initial conceptual sketch of what was referred to as Quantum Mirror Mechanics (QMM) during the exploratory phase of the research program. The material presented here does not reflect the current formulation of the Specular Field Theory. It was drafted as an early attempt to organize the dual-sheet Hilbert structure, the role of the ledger operator, the notion of informational tilt, and the interpretation of curvature and mass as informational effects. These ideas were later revised, refined, and superseded by more recent working papers. This record is preserved only for developmental continuity and traceability across prior versions. Updated documents provide improved conceptual clarity, revised interpretations, and the current direction of the quantum development within the Specular Field Theory.