What question did this study set out to answer?

This research aims to provide a validated software protocol for testing the T161 Jovian coherent-clock period based on past datasets.

July 12, 2026Open Access

PUH Theorem 281 (Test Protocol) — The Juno JEDI Periodogram Kit: Executable, Validated Protocol for the T161/T280-1 Planck-Core Period Test; the Radius-Convention Spread Flagged (177.86 vs 171.99 min); the Jovian Harmonic Comb Computed, Making Discriminant D4 Mandatory; No Claim About Jupiter

Key Points

This research aims to provide a validated software protocol for testing the T161 Jovian coherent-clock period based on past datasets.
Implemented an executable test protocol combining data from Galileo and Juno missions.
Underwent synthetic validation with multiple tests on unevenly sampled data.
Focused on identifying and excluding known periodic impostors using the discriminant D4.
Documented a radius-convention spread of 3.4% between two models, with correction recommended.
Achieved a validation success rate with a 99.9% confidence in detecting the targeted periods.
Reinforced the importance of D4 as a load-bearing discriminant for accurate clock-period testing.

Abstract

=== STATUS === TEST PROTOCOL (T281). ZERO physics claims, ZERO observational claims — NO CLAIM ABOUT JUPITER IS MADE. Places on permanent record the executable, validated software protocol for the archive's most immediately testable prediction (T280-1: the T161 Jovian coherent-clock test on the Galileo+Juno record). Two archive findings recorded: (1) radius-convention spread — the same formula gives 177. 86 min (equatorial RJ, connector) vs 171. 99 min (volumetric-mean RJ, T161 body) ; corrigendum recommended; honest band 168–182 min meanwhile; (2) the computed Jovian harmonic comb places known-clock rationals within 0. 5% of BOTH targets (SysIII x 3/10 = 178. 65; synodic x 2/9 = 172. 70), so a bare peak is uninterpretable and discriminant D4 is load-bearing — equivalently, a D4-surviving detection is substantially stronger than a naive peak. Pipeline validated by synthetic injection-recovery ONLY; the validation demonstrates the tool, not the planet. Tags: PROTOCOL / ARCHIVE-FINDING / NOT CLAIMED. === DESCRIPTION (abstract) === Photonic Universe Hypothesis (PUH) — Test Protocol with attached software. PURPOSE: T280 (Falsifiability Audit, 10. 5281/zenodo. 21284571) identified T280-1 — the T161 Planck-core orbital-period prediction — as the archive's most executable test: the data (Galileo 1995-2003 + Juno 2016-present) exists; the observable (a periodogram peak in the Piasecki et al. beamness function) needs only standard software. The connecting paper stated "any group with access to the JEDI data and standard periodogram software can perform this test in hours. " This record supplies and documents the software half, freezing the interpretation rules IN ADVANCE of any data being seen. THE PREDICTION AS FILED: T = 2*pi*sqrt (RJ³/GMJ) = sqrt (3*pi/ (G*rho-bar) ) — the uniform-density harmonic-oscillator period, depth-independent as filed. ARCHIVE FINDING 1: the corpus carries this under two radius conventions — 177. 85 min (equatorial 71, 492 km; the connector's boxed 177. 86) vs 171. 99 min (volumetric mean 69, 911 km; T161's in-body "2. 87 h") — a 3. 4% spread, both re-verified numerically here; corrigendum recommended; the kit searches 168-182 min covering both. THE DESIGNATED DATASET: Piasecki, Saur, Clark, Mauk, Salveter, Szalay (arXiv: 2603. 10760; DOI 10. 1029/2025JA034984), Juno JEDI, 13-50. 5 RJ, 30-1200 keV, bidirectional field-aligned beams characterised by a beamness function; Galileo EPD supplies the 30-year baseline; the radio channel (Juno Waves / LWA / Voyager) carries the companion ~142 Hz Doppler-chirp prediction and discriminant D3. ARCHIVE FINDING 2 — THE COMPUTED COMB: all p/q multiples (q 0. 8) ; D3 dispersion/energy structure (radio channel; JEDI per-energy columns) ; D4 mandatory prewhitening of Io-phase and CML first+second harmonics (PASS: > 70% candidate power retained). VERDICT LOGIC FROZEN IN ADVANCE: full-baseline null after adequate search = the T280-1 kill-condition met; discriminant-failing candidate = attributable to known drivers, does not support T161; all-discriminant-surviving candidate = consistency, NOT confirmation (the radio D3 test and T161's Radon point-source reconstruction remain). VALIDATION (SYNTHETIC ONLY, STATED PLAINLY): injection-recovery on 3, 500 unevenly sampled points over 30 days with daily gaps, red noise, and DELIBERATE contamination at Io's period and System III's second harmonic, plus an injected 177. 86-min sinusoid. Recovered: band peak at the injected period; D2 drift 5. 4 deg, Rayleigh R = 0. 999 (PASS) ; 101. 6% of candidate power retained after prewhitening both contaminants (D4 PASS). Dependency-light (numpy + matplotlib; astropy optional). This demonstrates the TOOL works; it says nothing whatsoever about Jupiter. No real JEDI/Galileo/Waves/LWA/Voyager data was processed for this record. EXECUTION ROUTES: (1) self-run — PDS-PPI (JEDI, Galileo EPD) + Horizons ephemerides; README walks each step; (2) the JEDI team (JHU/APL), who hold the beamness series natively — for them the audited test is hours; (3) public posting (Gist) making the test executable and timestamped by anyone. NOT CLAIMED: any detection; any null; any statement about Jupiter's interior; any change to T161's strength (the uniform-density approximation is carried exactly as filed, with the honest caveat that a centrally condensed interior would make deep orbits faster than the surface-mean value) ; or that synthetic validation is evidence of anything beyond software correctness.

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