Adelic Aligned p-adic Spacetime and Recursive Expansive Dynamics

Thee Adelic Aligned p-adic spacetime framework represents a unification of number-theoretic, geometric, and quantum gravitational principles through an adelic approach that incorporates both real and p-adic number systems. This formulation establishes a rigorous mathematical connection between discrete p-adic structures and continuous spacetime geometries, creating a comprehensive description that operates across all scales. At its core, the adelic approach treats phenomena as emerging from the combined contributions of all mathematical "places" – including both the real continuum and the p-adic number fields associated with prime numbers. This creates a dimensionless system by construction, with normalization factors that rely solely on prime-based adelic products and their intrinsic mechanisms.