Pereira de Souza, Luciano (2026) DOE MODEL - DOE- SAT Algorithm | Ontological State Dynamics: Rigorous axiomatic Core, DOE-SAT Algorithm and Speculative Substrate Extension. [Preprint]
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Abstract
This paper presents the Ontological State Dynamics (OSD), a modular framework that proposes symmetry as the fundamental structural language of ontological execution — the process by which potential states transition into realized states. The model is built upon a rigorous axiomatic core (Module I) that formalizes the relationship between unique states, reversible evolution via group action, and execution as an irreversible symmetry-breaking event.We derive four central theorems (T1–T4) providing formal proofs for: the structural decay from group to semigroup as the algebraic signature of irreversibility; a formal measure of temporal asymmetry; and the emergence of the Second Law of Thermodynamics ($\Delta S \geq 0$) derived from the irreducibility of the execution operator $E$, modeled as a unital CPTP map.In the computational domain (Module II), we introduce the DOE-SAT Algorithm, which applies Orbit-Stabilizer Theory to prune the search space in Boolean satisfiability problems, offering a geometric approach to algorithmic efficiency. Finally, the framework includes a speculative extension (Module III) regarding the topological substrate of "jumpers" and formal falsifiability criteria (Module IV) to ensure methodological integration with the scientific community.Keywords: Ontological State Dynamics, Symmetry Breaking, Quantum Irreversibility, DOE-SAT, Algebraic Thermodynamics, Axiomatic Physics.
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| Item Type: | Preprint | ||||||
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| Keywords: | Ontological State Dynamics; CPTP channel; von Neumann entropy; second law; von Neumann algebras; SAT; Symetry breaking; ER=ERP; falseability; qubit | ||||||
| Subjects: | Specific Sciences > Mathematics > History of Philosophy Specific Sciences > Physics > Quantum Mechanics Specific Sciences > Physics > Symmetries/Invariances |
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| Depositing User: | Mr. Luciano Pereira de Souza | ||||||
| Date Deposited: | 07 Apr 2026 12:34 | ||||||
| Last Modified: | 07 Apr 2026 12:34 | ||||||
| Item ID: | 28935 | ||||||
| Subjects: | Specific Sciences > Mathematics > History of Philosophy Specific Sciences > Physics > Quantum Mechanics Specific Sciences > Physics > Symmetries/Invariances |
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| Date: | 6 April 2026 | ||||||
| URI: | https://philsci-archive.pitt.edu/id/eprint/28935 |
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