Riemann Zero Spacings - Spectral Periodicity in Prime Gaps and Riemann Zero Spacings (withdrawn 10/07/2026)

Riemann Zero Spacings - Spectral Periodicity in Prime Gaps and Riemann Zero Spacings (withdrawn 10/07/2026)Authors note - As lifecoin and nature allows, my work The Fundamental Unified Nature Theory (FUNt) – 2026 Public Release v4 (with collabs) https://doi.org/10.5281/zenodo.20976199, is continuously under personal reverification and audit. There are ocassions where the work has progressed to a point that requires previous work to be reassessed. This is one of those ocassions. The details and a reproducible collab are provided to ensure how/why my claim was wrong. Riemann Zero Spacings v8.0 — Audit/Reassement PURPOSEClean target-blind rerun of the October 2026 v8 correction protocol. DEFAULT MODEPUBLISHED_CLAIM:- 254,832 consecutive prime gaps- first 2,000 nontrivial Riemann zeros- 1,999 zero spacings AUDIT ORDER1. Construct sequences without f0.2. Mean-center.3. Compute real FFT magnitude.4. Exclude DC.5. Select all local maxima without f0.6. Serialize and SHA-256 hash the blind state.7. Reveal f0 = sqrt(5)/(2*pi).8. Locate the nearest pre-existing maximum and report delta, magnitude rank, number of local maxima, and amplitude percentile.9. Do not alter upstream conditions after reveal. HISTORICAL REFERENCE HASHESARCHIVED_CODE:ae928e717176a7336ffbaa6bba4f7034a8d02b635674d901f7d266b778ac2398 PUBLISHED_CLAIM:68d3d5f64e2971d4665d370e15173f21a22a74ba61bc43f54caae9d9664f8f87 IMPORTANTARCHIVED_CODE exact reproduction is deliberately not reconstructed from memory.It requires the historical v7 notebook/input defaults. The fresh notebook refusesto guess those values. The fresh notebook does not force historical hash equality. A mismatch is reportedas diagnostic evidence and must not be repaired post hoc. There is usable code that will progress this puzzle. Regardless, as claimed it has resolved to be in error. Paste this in place of the old abstract. It does not repeat the withdrawn claim. Riemann Zero Spacings — v8.0 Correction Target-blind re-analysis of prime gaps and Riemann zero spacings Author: Michael K. Nowlin Version: 8.0 Date: 7 October 2026 Corrects: 10.5281/zenodo.17566439 Concept DOI: 10.5281/zenodo.17418295 This version: 10.5281/zenodo.23221018 ABSTRACT Version v7 reported that prime-gap and Riemann-zero spectra shared a line near 0.356, in 99.93 percent agreement with sqrt(5)/(2*pi). That claim is withdrawn. The published notebook selected the reported peak with a window centered on the target. A peak chosen because it is near the target is not a detection. This correction freezes 254,832 prime gaps and 1,999 zero spacings, computes the real FFT, and lists local maxima before the target is revealed. Two estimators are preserved. They are not merged. Hann window, historical table: nearest frequency 0.35588937025177375 rank 17,261 of 34,941 amplitude percentile 50.6 bin 90692 hash 68d3d5f64e2971d4665d370e15173f21a22a74ba61bc43f54caae9d9664f8f87 No window, independent rerun: nearest frequency 0.3558736736359641 rank 41,242 of 42,531 amplitude percentile 3.03 bin 90688 hash e96a96dfb845aaa482b74cda69fb91283d3b61db5439915aee781d81cadb095e The target falls at bin 90689.94. The raw peak is closer. It is also a 3rd-percentile peak. Closeness is not prominence. Both zero-spacing runs land on bin 710. Neither peak is prominent. Classification: NO STRONG PHI-BLIND EMERGENCE. This correction does not prove or disprove the Riemann Hypothesis. It does not claim a phi-resonance. A hash mismatch on a fresh machine is diagnostic. Do not edit output to force a match. Any future recognition or revenue from this work is directed to St. Jude Children's Research Hospital. Information below this marker ' = ' is obsoleted and contains error.(mkn 10/07/26) ============================================= Riemann Zero Spacings - Spectral Periodicity in Prime Gaps and Riemann Zero Spacings Replication materials, FFT data, and analytic notes are included in the primary Zenodo paper’s supplementary datasets. * Author is in last stage of terminal illness, and is actively seeking institutional review, stress testing, validation for future resolvement of the puzzle. If found as author believes, to be 'RESOLVED ; AUTHOR is in need of SPONSOR. An Institution, who can submit on behalf of St. Jude's . AUTHOR fully conveys to this Institution, the 'use' for educational purposes and crediblity. All words and equations were stress tested, using multiple AI platforms for accuracy. (Python code INCLUDED). This Institution, who will study this submission if for no other reason, "the children of St. Jude's."and if found as author believes, the 'puzzle' To Be Solved. note- enclosed is a notarized photo, conveying any revenue , prize or donation is conveyed to: St Jude's Chuldren foundation. Signed and notarized 11/05/2025 "Becuse if I'm found to be wrong, sick, or mentally ill. I still tried harder before breakfast, in mind and in soul, to help the worlds children, than anyone I know. mkn, 11/10/2025 Abstract We report Fast Fourier Transform analysis of prime number gaps and Riemann zeta function zero spacings, revealing shared spectral periodicity near 0.356 cycles per index. This observed frequency show: 99.93% agreement with the theoretical prediction √5/(2π) ≈ 0.3559. Analysis of 254,832 prime gaps and 2,000 nontrivial Riemann zeros demonstrates convergence to this common spectral signature, suggesting an underlying harmonic structure connecting prime distribution to the Riemann Hypothesis. Authored and compiled by Michael K. Nowlin, this document is part of the open-access public release of FUNt (2025 edition), archived for independent and institutional review. 10.5281/zenodo.17298395