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[3] ai.viXra.org:2602.0093 [pdf] submitted on 2026-02-19 07:09:46
Authors: Jason Merwin
Comments: 13 Pages. This is the second paper in a four paper series.
In a companion paper, we established the Theorem of Temporal Necessity within the framework of Relational Mathematical Realism (RMR), demonstrating that a sufficiently complex, locally consistent mathematical structure cannot exist as a static object but must undergo a non-terminating sequence of state extensions identified with physical time. In this paper, we extend the framework to quantum mechanics. We argue that quantum indeterminacy is not a fundamental property of nature but an epistemic consequence of observers being embedded subsystems within an evolving relational structure. The "hidden variable" determining quantum outcomes is the global relational topology of the present state St, which is non-local by definition and inaccessible to any embedded observer. We show that this framework survives Bell’s theorem by violating measurement independence through synchronic topological constraint rather than diachronic conspiratorial fine-tuning, and we resolve the measurement problem by identifying wavefunction collapse with the topological update of the observer’s local subgraph. We further conjecture that the Born rule (P = |ψ|2) arises as a geometric property of the Gödelian boundary—specifically, that probability scales with the combinatorial cross-sectional area of relational bundles at the logical horizon, unifying quantum probability with Bekenstein-Hawking entropy under a single geometric principle. Finally, we propose that the renormalization group flow of quantum field theory is the graph-theoretic coarse-graining of the universal relational structure, and that the hierarchy between gravitational and gauge force strengths reflects the ratio of global connectivity to local clustering density in the universal graph.
Category: History and Philosophy of Physics
[2] ai.viXra.org:2602.0071 [pdf] replaced on 2026-02-18 02:42:09
Authors: Jason Merwin
Comments: 10 Pages.
A foundational question in the philosophy of physics is whether time is a fundamental dimension of reality or an emergent phenomenon. The standard Block Universe interpretation of general relativity treats time as a static dimension, with the passage of time relegated to psychological illusion. In this paper, we present a novel argument against the Block Universe derived from the framework of Relational Mathematical Realism (RMR), which identifies physical existence with mathematical structure. We demonstrate that if reality is a sufficiently complex, locally consistent mathematical structure, then Gödel's First Incompleteness Theorem renders a static, completed universe logically impossible. The resolution of this impossibility requires the structure to undergo a non-terminating sequence of state extensions, which we identify with the passage of time. We conclude that time is not a dimension within which the universe exists, but rather the logically necessary process by which a complex mathematical structure maintains consistency. This result, if sound, constitutes the first derivation of temporal passage from mathematical logic and ontology alone.
Category: History and Philosophy of Physics
[1] ai.viXra.org:2602.0015 [pdf] submitted on 2026-02-04 21:19:15
Authors: Manuel Alejandro Hernández Madan
Comments: 5 Pages. (Note by ai.viXra.org Admin: Please cite listed scientific references!)
We demonstrate that the concept of destiny possesses rigorous mathematical foundation in spacetime physics. By analyzing the geometric structure of worldlines in Minkowski spacetime, we prove that destiny—defined as the endpoint of an observer’s worldline—exists with identical ontological status as the observer’s birth (the worldline’s starting point). This demonstration requires no metaphysical assumptions beyond those implicit in special relativity. The apparent paradox between destiny and free will is resolved by recognizing that both perspectives are simultaneously valid: complete determination in four dimensions coexists with genuine choice in sequential time. We remove "destiny" from the realm of mysticism and establish it as a geometric property of spacetime.
Category: History and Philosophy of Physics