History and Philosophy of Physics

   

Symmetry Breaking and Exclusive Duality: Foundations for a Unified Theory of Structures

Authors: Fabio Savoca

This paper investigates the logical-mathematical foundations of physical reality, proposing amodel based on the persistence of symmetry breaking from the real to the complex domain.We postulate the existence of two fundamental structures: the Internal Structure S(O),defined in Hilbert Space, and the External Structure S(O^-1), defined in the complex field.The theoretical core of the work lies in identifying two mutually exclusive regimes of accessto reality: the state of Observation (Potential Infinity) and the state of Understanding(Actual Infinity). We demonstrate that phenomenal reality and logical reality are not static, but the result of a continuous high-frequency exchange between cardinality increment and complex rotation. Furthermore, we hypothesize that such rotation is governed by a metric compatible with the Riemann Hypothesis, linking the distribution of quantum weights tothe nature of prime numbers.

Comments: 5 Pages.

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[v1] 2026-01-01 03:33:47

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