Paper 32A: Timing Continua Meet Symmetry Selection From Weihs Peak–Shoulder–Cutoff to a T4–Math Selector on S2

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Authors: Sarnowski, Michael
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Abstract

Paper 32A audits finite timing-continuum structure in the public Weihs Alice/Bob archive and explains why the coincidence-counting rule matters. Using the bluesine series, the paper reconstructs timing profiles for coincidence half-windows of 3, 5, and 7 nanoseconds. The profiles show a central timing peak near zero offset, shoulders near plus or minus 10 nanoseconds, and a flat far-offset baseline. A central result is that one-to-one matching and all-pairs matching require different statistics. Under one-to-one matching, each event is used at most once, so window parity remains a meaningful summary. Under all-pairs matching, the central bin can grow combinatorially because many Alice events can pair with many Bob events inside the same window. In that case, parity at zero offset can become misleading. The paper therefore replaces parity-at-zero with a full-profile shape statistic: a baseline plus three fixed spikes at zero and plus or minus 10 nanoseconds. The paper also presents a declared calibration model on S2 using a rail-squared target density. Because the selector equation explicitly relaxes toward this target, convergence is treated as a contractivity and calibration-stability check, not as an independent derivation of the target from the Weihs data. This paper does not claim a complete Bell-test analysis or a direct physical identification of Weihs events with the S2 selector. Its contribution is narrower: it establishes timing-profile governance, kernel-dependent statistic selection, and a reproducible calibration scaffold for future setting-resolved and null-model tests.

Fields of Study & Subjects

VLSI and FPGA Design Techniques Parallel Computing and Optimization Techniques Low-power high-performance VLSI design

Publication details

Journal / source
Zenodo (CERN European Organization for Nuclear Research)
Publication date
7 May 2026