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May 27, 20260 citationsOpen Access

Response-Potential Dynamics of an Electron-Like ECSM Packet

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ASAdam Sheldrick

Key Points

  • The aim is to test the response-potential dynamics of an electron-like packet while maintaining internal structural integrity.
  • Applied weak external response potentials using a split-operator evolution scheme.
  • Conducted the V7 response-potential dynamics test based on the q_eff ≃ -1 electron-like packet scaffold.
  • Used Ehrenfest-like diagnostics to assess force/acceleration agreement.
  • The packet passes all 15 verdict criteria, maintaining occupancy scaffold and branch weights.
  • Under weak linear response potential, the trajectory changes significantly with consistent force/acceleration signs.
  • Chi-deformed dynamics show systematic transport changes while conserving overall structure.

Abstract

This paper reports the V7 response-potential dynamics test for the ECSM electron-like packet programme. Starting from a previously constructed qₑff ≃ -1 electron-like packet scaffold, the test applies weak external response potentials to a Dirac-like packet using a split-operator evolution scheme. The V7 result passes all 15 verdict criteria. The packet preserves its occupancy scaffold, inherited alpha/beta closure, norm, branch weights, and controlled negative-branch leakage. Under a weak linear response potential, the packet trajectory changes substantially and shows force/acceleration sign agreement in an Ehrenfest-like diagnostic. Under chi-deformed response-potential dynamics, transport changes systematically while conservation remains stable. The result does not claim recovery of the physical electron, exact Newtonian force law, or full electromagnetic gauge coupling. It establishes a narrower internal result: an electron-like ECSM Dirac packet can undergo weak response-potential dynamics while conserving branch structure. The associated reproducibility notebook is publicly available at: https: //github. com/asheldrick-research/ecsm-framework/blob/main/ECSMElectronLikePacketResponsePotentialV7. ipynb

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Cite This Study

Adam Sheldrick (2026) studied this question.

synapsesocial.com/papers/6a168ae40c924ddd1bd59b2ahttps://doi.org/10.5281/zenodo.20380698
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Also Consider

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

  1. 1Dirac-Like Propagation of an Electron-Like Response Packet in ECSM2026
  2. 2A Minimal Electron-Like Response Packet in ECSM: Occupancy Closure, Branch Imbalance, and Stability2026
  3. 3A Finite Vacuum-Polarisation and Running-Response Doorway for an Electron-Like Packet in the ECSM Framework2026
  4. 4Many-Mode Fermion-Like Filling and Shell-Capacity Structure of Electron-Like ECSM Response Packets2026
  5. 5Emergent Gauge Coupling of an Electron-Like Packet in the ECSM Framework2026