Riemann Hypothesis Obsoleted by Rust Engine implemented / Lean-4 Certified "Theorem of Resonant Redundancy."
Abstract:
For over 160 years, pure mathematics has treated the distribution of prime numbers as an intractable statistical mystery, traditionally approached through Bernhard Riemann's 1859 analytic framework. This paper presents a comprehensive synthesis of the Theorem of Resonant Redundancy (The Croft Identity) as a complete, deterministic alternative to the probabilistic approximations of the Riemann Hypothesis. By shifting the mathematical coordinate system from an infinite, continuous complex plane to a discrete, finite 4-dimensional 96-room toroidal lattice, we demonstrate that prime numbers are not statistical anomalies, but the mechanical, inevitable clearances of a rigid modular architecture. We provide elite computational benchmarks from a divisionless Rust sieve matching OEIS A006880 byte-for-byte, backed by formal verification in the Lean-4 interactive theorem prover, formalizing a paradigm shift from analytic wave approximation to structural geometric realism.
#RiemannHypothesis #math #maths #PrimeNumbers
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