ETCQX - The Protonic Phase Wave

ETCQ X introduces the phase-cap field: a framework in which matter is described as a localizedphase debt constrained by a finite circulation capacity α. The proton is treated as a supra-cap lockwhose 4πα recapping sequence closes most of its phase locally, while a minute coherent residue,scaling as α18, survives as a long-range gravitational contribution.Within this framework, mass, charge, electronic structure, nuclear closure, molecular locking, andgravity are not introduced as unrelated sectors, but as differentiated outputs of a common grammar:cap, debt, lock, restitution, leakage, and survival. The proposed field law is then confronted withatomic, nuclear, molecular, galactic, lensing, noise, and numerical phase-field tests.The volume does not claim a final derivation of all constants or all interactions. Its aim is more limitedand more precise: to establish a constrained, falsifiable architecture for the ETCQ long-rangephase field, and to identify which parts are already supported, which remain phenomenological,and which require further derivation.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-06-09
DOI
https://doi.org/10.5281/zenodo.20615779
Primary Topic
Nuclear physics research studies
Type
preprint
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preprint

ETCQX - The Protonic Phase Wave

Guillaume Lajoie
Zenodo (CERN European Organization for Nuclear Research)
Nuclear physics research studies
preprint

ETCQX - The Protonic Phase Wave

Guillaume Lajoie
preprint en

Abstract

ETCQ X introduces the phase-cap field: a framework in which matter is described as a localizedphase debt constrained by a finite circulation capacity α. The proton is treated as a supra-cap lockwhose 4πα recapping sequence closes most of its phase locally, while a minute coherent residue,scaling as α18, survives as a long-range gravitational contribution.Within this framework, mass, charge, electronic structure, nuclear closure, molecular locking, andgravity are not introduced as unrelated sectors, but as differentiated outputs of a common grammar:cap, debt, lock, restitution, leakage, and survival. The proposed field law is then confronted withatomic, nuclear, molecular, galactic, lensing, noise, and numerical phase-field tests.The volume does not claim a final derivation of all constants or all interactions. Its aim is more limitedand more precise: to establish a constrained, falsifiable architecture for the ETCQ long-rangephase field, and to identify which parts are already supported, which remain phenomenological,and which require further derivation.

Zenodo (CERN European Organization for Nuclear Research)
Peace, Justice and strong institutions
Nuclear physics research studies
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ETCQX - The Protonic Phase Wave — Guillaume Lajoie · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS