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ZENODO
Preprint . 2026
Data sources: ZENODO
ZENODO
Preprint . 2026
Data sources: Datacite
ZENODO
Preprint . 2026
Data sources: Datacite
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Evidence for Six-fold Phase Alignment Geometry in ATLAS Mercedes Jets and GW170817: A Test of the Allen Orbital Lattice

Authors: Allen, James Johan Sebastian;

Evidence for Six-fold Phase Alignment Geometry in ATLAS Mercedes Jets and GW170817: A Test of the Allen Orbital Lattice

Abstract

This paper reports a Branch A geometry-validation test of Pattern Field Theory (PFT), the Allen Orbital Lattice (AOL), and Phase Alignment Lock (PAL) using reconstructed ATLAS 2010 Open Data 7 TeV 3-jet event geometry and a GW170817 neutron-star compactness cross-check. The study defines two collider observables: the six-axis angular residual R6min, measuring residual alignment to the kπ/3 hexagonal grid, and the tensor residual ||ΔT||, measuring global event-shape coherence under QuantaHex projection. ATLAS Mercedes 3-jet topology shows R6_min enrichment ratio 2.717 in data versus 1.718 in Pythia8 Monte Carlo, with KS p = 0.706. Inclusive/exact-3jet topology shows ||ΔT|| enrichment ratio 1.514 in data versus 1.424 in Monte Carlo, with reported significance 8.2σ and Mann-Whitney p = 2.28 × 10^-48. Rank-shuffled null controls preserve jet pT and η distributions while destroying phase coherence, confirming that the 58.1% Mercedes R6_min excess and the 6.3% inclusive ||ΔT|| excess represent substrate-level PAL geometry not captured by pT-ordered shower models. The paper also links the collider geometry result to the companion GW170817 structural compactness analysis, where the empirical compactness ceiling Lmax = 0.446 ± 0.004 is compared with the PFT/AOL prediction π/7 = 0.4488, giving approximately 0.6% agreement. A central distinction of the paper is parameter status. Conventional collider reconstruction, Monte Carlo tuning, background modelling, detector calibration, and compact-object inference rely on fitted, tuned, or externally calibrated parameters. By contrast, the PFT/AOL target relations tested here introduce no fitted parameters into the target geometry. The tested quantities are fixed prior geometric consequences of AOL geometry, PAL closure, six-axis angular spacing, the 6+1 closure structure, and the compactness ratio π/7. This publication is Branch A of the PFT/AOL Collider Program and is a companion to the separate Branch B 7.3 TeV chamber-resonance prediction and ATLAS-style pseudo-analysis. Data: ATLAS Open Data 2010 7 TeV. The Mercedes analysis screens 25,707 events, with 22 events passing the Mercedes topology cuts. The inclusive/exact-3jet analysis screens 25,708 events, with 2,069 exact-3jet candidates. Prediction and ATLAS-Style Pseudo-Analysis of a Non-Standard 7.3 TeV Resonancehttps://zenodo.org/records/20031950 A Data-Derived Structural Ceiling for Neutron Star Compactness and Tidal Deformability from GW170817https://zenodo.org/records/20789186Beyond Universal Scaling: A Structural Solution to the Galaxy Rotation Problemhttps://zenodo.org/records/20055899

Keywords

Mercedes topology, geometric physics, collider phenomenology, Pythia8, 3-jet physics, 7.3 TeV resonance, Phase Alignment Lock, Rationics, Allen Orbital Lattice, GW170817, AOL, QuantaHex, parameter-free prediction, Pattern Field Theory, ATLAS Open Data, QCD substrate, engineering physics, quantum geometry, QuantaHex tensor, PAL, beyond Standard Model, neutron star compactness

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average
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