Recursive Inflationary Fractal Time (RIFT) Mathematical Foundations and Physical Implications

The Recursive Inflationary Fractal Time (RIFT) framework unifies number theory, fractal geometry, and quantum gravity through the handling of divergent infinite prime products and analytic continuation. Utilizing adelic integration, zeta function regularization, and recursive entropy dynamics, RIFT attains a theoretically stable cosmological constant Λ = 1 despite inherent divergences. Numerical validations up to 60 primes confirm convergence to Λ ≈ 1 ± 10−101, with precision scaling logarithmically with prime count. Observable predictions include fractal-modulated gravitational waves and Mersenne prime-induced dark matter hierarchies.