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June 2, 20260 citationsOpen Access

A Derived Form-Factor Locked Scattering Retest of an Electron-Like Packet in the ECSM Framework

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ASAdam Sheldrick

Key Points

  • The aim is to improve the scattering analysis of an electron-like packet using a new Gaussian-derived form factor within the ECSM framework.
  • Conducted a locked scattering shape audit using V33 of the ECSM electron-like packet program.
  • Replaced minimal finite-transfer form factor with a Gaussian-density-derived form factor.
  • Monitored shape-relative differences without adjusting parameters or using scattering cross-section data.
  • All criteria passed with a score of 26/26 in the V33 audit.
  • Maximum low-transfer shape-relative difference reduced from 0.3571 in V32 to 0.02518 in V33.
  • Mean low-transfer difference decreased from 0.11319 in V32 to 0.003575 in V33.

Abstract

This paper presents V33 of the ECSM electron-like packet programme. V33 follows the V32 locked elastic scattering shape test, which exposed a low-transfer angular-shape tension in the earlier minimal finite-transfer form factor. The present work replaces that imposed profile with a Gaussian-density-derived form factor using the inherited response scale and reruns the locked scattering-shape audit. The V33 audit returns PASSDERIVEDFORMFACTORLOCKEDSCATTERINGRETEST, with 26/26 criteria passed. The maximum low-transfer shape-relative difference is reduced from 0. 3571 in V32 to 0. 02518 in V33, and the mean low-transfer difference is reduced from 0. 11319 to 0. 003575. Large-angle finite suppression and extreme-transfer finite-response behaviour are retained. No measured scattering cross-section data are used as a fit, no parameters are adjusted after comparison, V32 is not repaired by post-hoc tuning, and no full QED scattering, renormalised S-matrix, or precision Mott/Rutherford prediction is claimed.

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Adam Sheldrick (2026) studied this question.

synapsesocial.com/papers/6a1e72e830b38c64201b624fhttps://doi.org/10.5281/zenodo.20474025
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Also Consider

Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context:

  1. 1A Locked Elastic Scattering Shape Test of an Electron-Like Packet in the ECSM Framework2026
  2. 2A Finite Elastic Scattering-Amplitude Doorway for an Electron-Like Packet in the ECSM Framework2026
  3. 3A Unified Form-Factor Slope, Current-Envelope, and Radiative-Scale Audit of an Electron-Like Packet in the ECSM Framework2026
  4. 4A Predictive Target-Response Layer for a Frozen ECSM Electron-Like Packet in Measured Molecular Scattering2026
  5. 5A Frozen Measured Molecular Scattering Confrontation and Target-Response Diagnostic for an ECSM Electron-Like Packet2026