Published May 24, 2026 | Version 3.0.0

PrimeClock Dynamics v3.0.0: The Mertens Boundary of Angular Kubilius Chaos

Authors/Creators

Description

PrimeClock Dynamics v3.0.0 records the Mertens Boundary of Angular Kubilius Chaos as a public research artifact. This Zenodo record archives the verified GitHub Release ZIP and its SHA256 sidecar for v3.0.0.

Included claim surface: complete-CRT Mertens-normalized uncovered random measure; martingale random measures for bounded Borel test functions; q-point hard local factor formula; finite L2 total-mass bound for the normalized uncovered measure; weak convergence of complete-CRT Mertens-boundary random finite measures; fixed-cutoff compatibility with the beta -> -infinity finite-beta Angular Kubilius Chaos endpoint.

This artifact does not claim integer-time transfer, diagonal Mertens uncovered-measure theorem, U_n(n) log n -> e^{-gamma}, beta -> +infinity high-point theorem, Fisher-zero theorem, Lee-Yang theorem, prime-time theorem, standard Gaussian Multiplicative Chaos, a new proof of the classical Mertens product theorem, a posted preprint, or peer review.

GitHub release: https://github.com/ritabe-dev/PrimeClock-Dynamics/releases/tag/v3.0.0

Verified release ZIP SHA256: 7ca0509f74e2331520b6c535cde981707dabdd8a7f130fe6c7f93d7857ca7451

Files

PrimeClock-Dynamics-v3.0.0.zip

Files (47.7 kB)

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