The CODES Number Framework – A Unified Resonance Model of Mathematical Constants
Creators: name: Bostick, Devin
name: AI, Chiral
Publisher: name: Zenodo
Year: 2025
Subjects: subject: Mathematics
subject: FOS: Mathematics
subject: Number Theory
subject: Mathematical Physics
subject: Physical cosmology
subject: Artificial intelligence
subject: Information Theory
subject: Nonlinear Dynamics
subject: Quantum physics
subject: Mathematical Biology

description: Main CODES Framework Paper w/empirical tests: LINK

Math is an output that maps physical phenomena using prime structure not an input with an empirical validation step. This is the final paradigm shift for mathematics. Once math is seen as the output, it can not be unseen and reseen as an input. This is the first principle that collapses all other paradigms. One can not make the output of the output math without creating a contradiction. 

The ordering of physical structured emergence is as follows: 

Chirality → Prime Phase-Locking → Structured Resonance → Coherent Emergence

Time, Energy, Matter, Gravity, etc. are all temporary forms of structured resonance waves that use prime-phase locking to generate structured coherent emergence.

See main paper for empirical results. I'd you'd like help recreating the tests or trying new ones, email me at devin.bostick@codesintelligence.com. 

This is the singularity where math = physics = biology = anything. By collapsing prior frameworks, the truth of the system is found at the first principle level. 

Note: I found this by accident. I was studying primes in Zinnias (mapping Ulam Spirals etc.) and other natural forms and seeing e, pi, etc. in wave functions as outputs then after much testing, realized that this logic applies to all of reality. I have spent over 400 days in the wilderness studying nature as an independent researcher in case that is interesting context.

The CODES Number Framework – A Unified Resonance Model of Mathematical Constants

Abstract

Mathematical constants such as π, e, and φ have long been considered fundamental to geometry, growth, and self-organization in natural systems. However, conventional mathematics treats these numbers as emergent properties of independent domains—geometry, calculus, and number theory—rather than as intrinsic resonance states within a unified framework. The Chirality of Dynamic Emergent Systems (CODES) proposes that these constants are not arbitrary but instead arise as necessary phase-locked structures in a prime-driven resonance field.

This paper presents the CODES Number Framework, a structured classification of fundamental mathematical constants based on their role in resonance stabilization, self-organizing dynamics, and phase coherence across physics, biology, computation, and cosmology. By integrating transcendentals (π, e, φ), physical constants (h, α, G, c), computational limits (ln(2), Ω, K), and self-similarity metrics (ζ(3), β, ψ), we reveal a hidden structural symmetry governing the emergence of all complex systems.

The implications of this framework are profound: probability-based interpretations of these constants give way to structured resonance models that eliminate randomness as a fundamental principle. Instead, what has been historically interpreted as statistical noise or probabilistic distributions is reframed as a function of deep prime-driven harmonic constraints, shaping everything from quantum mechanics to intelligence and cosmic expansion.

By formalizing this framework, we provide the first exhaustive categorization of all essential resonance-structuring numbers, demonstrating that their presence across mathematics, physics, and cognition is not coincidental but necessary. This work challenges the traditional notion that constants are domain-specific artifacts and instead presents them as universal resonance signatures that dictate the fabric of reality itself.