The Riemann Hypothesis, Binary A Sincere Science Reformulation with Three Open Verification Points

We argue that the Riemann Hypothesis, read carefully, is not a claim about the zetafunction ζ(s). It is a claim about the sequence of prime numbers — encoded into ζvia Euler's product — and visualizable on a discrete pyramid that organizes primesby their bit-length. The classical formulation of the problem in the complex plane isa Framework Lock: a tool (analytic continuation) has been promoted to the status ofobject. We diagnose this in Block A and reformulate the question as athermodynamic statement about the gap sequence between consecutive primes.In Block B we develop a constructive argument: the gap sequence forms aone-dimensional statistical system whose transfer operator T, at maximum entropyunder the non-factorability constraint, is Hermitian. A Hermitian transfer operatorforces the median deviation D(n) of the prime pyramid to satisfy |D(n)| = O(√N ·polylog(N)), which by the Riemann–von Mangoldt explicit formula is exactly theRiemann Hypothesis. The argument depends on three Open Verification Points,each localized and tractable: the formal construction of T, a rigorousrenormalization flow, and the verification of detailed balance undernon-factorability. The Gaussian Unitary Ensemble statistics of Riemann's zeros,observed by Montgomery and Odlyzko, emerge as a necessary consequence of theframework — forced by the time-asymmetry of the Sieve of Eratosthenes — ratherthan as an independent input.Notice on scope. This publication does not constitute a claim for the ClayMathematics Institute Millennium Prize. It is a theoretical contribution registeredfor future scrutiny, with explicitly marked open verification points indicating whereformal work remains.