Existence as Structural Fluctuation

Description This manuscript proposes a metaphysical framework in which existence itself is understood as a structural fluctuation, formalized through the generative expression: δ(n) = N · π · φ · rⁿ This formula is not presented as a numerical curiosity but as the unique minimal solution to a set of axioms (A1–A5) concerning isotropy, self-similarity, positivity, discreteness, and embedded observation. π arises as the unique isotropy constant, binding length, area, and curvature under rotational invariance. φ emerges as the Perron root of the minimal two-step positive recurrence, the smallest autonomous rule that sustains generative flow. rⁿ expresses hierarchical self-similarity, the inevitable eigenmode of scale progression. N encodes finite normalization by the observer, introducing subjectivity without altering structural form. Alternative substitutions break one or more axioms. Thus, δ(n) is argued to be the necessary minimal unit of generative ontology. Numerical proximities to physical constants (e.g., Fibonacci universality, near-light-speed ratios) are interpreted not as coincidences but as echoes of structural stability. This paper does not aim to extend existing metaphysical schools, but to demonstrate that δ(n) arises uniquely when existence is axiomatized as a self-similar generative flow.