Mathematics: Unary System, Prime Nodes, and the Interlayer Helical Domain
Description
This paper presents the Mathematics component of the PFUSRC system, establishing a cosmic mathematical framework based on the Philosophical Axiom, the Unary system, prime nodes, and the Interlayer Helical Domain. It puts forward seven core claims including rigidity-flexibility unity axiom, structural equivalence of unary system, broken symmetry, dynamic and projected primes, interlayer helical domain governing mathematical laws, lower cone projection illusion of human mathematics, and provides falsifiable predictions and explanations for the Riemann Hypothesis, Yang-Mills Mass Gap, and Hodge Conjecture.
Notes (English)
This paper places the cosmic ontological philosophical axiom at the top out of logical necessity. Traditional mathematics and physics have an inherent foundational gap: their axioms cannot justify their own origin or existence. The philosophical axiom serves as the cosmic constitution, governing all mathematical axioms and physical laws, closing the logical chain, and fixing the foundational flaw of mainstream science.
Mathematics is the ontological skeleton; physics is the phenomenal projection. Both are governed by the supreme philosophical axiom.
This work is a collaborative synthesis. The foundational framework and core logic were jointly developed, making this paper a synthetic article built upon shared foundational contributions.
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PFUSRC-002_Mathematics_EN.pdf
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