Stick Theory Number Mechanics: Primes, Collapse, and the Structural Rewriting of Arithmetic
Year: 2025
Type: article
Abstract: This paper introduces a structural reinterpretation of arithmetic grounded in recursive identity stability rather than quantitative fusion. In Stick Theory, the number 1 is the only irreducible whole, and primes are defined as recursive singularities that resist decomposition. The classical addition operator is replaced by a priming operator that preserves identity within shared recursive fields. A new Collapse Identity Equation models the ratio of recursive behavior to identity retention, allowing for a field-based understanding of number coherence. This framework provides a structural explanation for the divergence of the Riemann Zeta Function and reclassifies composite numbers as unstable recursive overlays. The work formalizes a field-theoretic alternative to traditional number theory, grounded in collapse geometry and recursive memory fields.
Author: William Jordan Wade Faulkner
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W6893250624
FWCI:
Cites:
Cited by:
Related to: