What does this research mean for the field?

Mapping the ECSM V17 dimensionless rest-energy minimum to the observed electron rest energy requires an energy unit of 1848.96 keV and a direct coherence length of 106.72 fm, establishing a scale-closure bridge rather than a direct derivation of the electron mass. Novelty: ClaimNovelty.INCREMENTAL. Consensus alignment: ConsensusAlignment.NEUTRAL.

What question did this study set out to answer?

The study aims to establish scale-closure requirements for the ECSM electron-like packet based on previous findings.

May 30, 2026Open Access

Scale Closure Requirements for an ECSM Electron-Like Packet Rest-Energy Functional

Key Points

The study aims to establish scale-closure requirements for the ECSM electron-like packet based on previous findings.
Examined the conversion of the V17 dimensionless rest-energy minimum to a physical scale-closure target.
Calculated required energy, coherence-length, and response-time scales for comparison with observed electron rest energy.
Identified requirements for future stages in the ECSM program.
Found required energy unit E0 = 1848.9574813 keV for mapping to the electron rest-energy target.
Determined direct coherence length requirement xi = 106.723 fm and packet-indexed coherence length xi = 26.300 fm.
Noted that no electron mass fit is performed and rejected the idea of literal-radius interpretation.

Abstract

This paper presents the V18 stage of the ECSM electron-like packet programme. It converts the V17 dimensionless rest-energy minimum into a physical scale-closure target and asks what energy, coherence-length, and response-time scales would be required if that fixed dimensionless result were compared with the observed electron rest energy. The result is deliberately framed as a scale-closure audit, not a derivation of the electron mass. V18 finds that mapping the V17 minimum |Eₛtar| = 0. 2763713908 to the electron rest-energy target requires an energy unit E0 = 1848. 9574813 keV, corresponding to a direct coherence length of 106. 723 fm or a packet-indexed coherence length of 26. 300 fm. It also flags that these scales cannot be interpreted as a literal electromagnetic electron radius. The notebook also audits possible alpha-power and Planck-suppression scale closures without fitting the electron mass directly. It rejects the shortcut of setting E0 equal to 511 keV, treats the physical electron mass only as a comparison target, and records that the next stage must provide a non-arbitrary ECSM medium-scale generator. Main results: - inherited electron-like packet scaffold remains qₑff = -0. 9993035720; - inherited V17 rest-energy minimum remains Rₛtar = 4. 0579532814 and Eₛtar = -0. 2763713908; - required energy unit if compared to the electron target is E0 = 1848. 9574813 keV; - direct coherence length requirement is xi = 106. 723 fm; - packet-indexed coherence length requirement is xi = 26. 300 fm; - direct response-time scale is tau = 3. 5599e-22 s; - no electron-mass fit is performed; - no E0 = 511 keV shortcut is used; - literal-radius interpretation is rejected; - V19 is identified as the required next step for non-arbitrary medium-scale generation. This work should be read as a scale-closure bridge between the V17 dimensionless rest-energy functional and any later attempt to derive physical electron mass from ECSM medium quantities. It does not claim to have derived the electron mass.

Scale Closure Requirements for an ECSM Electron-Like Packet Rest-Energy Functional

Key Points

Abstract

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