Closed Surface as Electron: The Schrödinger Equation Revisited

This short paper proposes a geometric reinterpretation of the Schrödinger equation by assuming that the electron is not a point particle, but a minimal closed surface. Under this assumption, two core aspects of the equation—(1) energy conservation in isolated systems and (2) orthogonality between position and momentum vectors—are no longer mysterious postulates, but become natural consequences of closed surface geometry.The wavefunction, in this view, describes modes of surface deformation and circulation, rather than probability amplitudes. This reframing provides intuitive clarity to the formal structure of quantum mechanics and opens the path for reconciling it with dynamic geometry and surface-based field theory.The document includes a theoretical formulation and the author’s rephrased equations.

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2025-06-05
DOI
https://doi.org/10.5281/zenodo.15600169
Primary Topic
Quantum and Classical Electrodynamics
Type
article
Field-Weighted Citation Impact
0.00
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article

Closed Surface as Electron: The Schrödinger Equation Revisited

Zenodo (CERN European Organization for Nuclear Research)
Quantum and Classical Electrodynamics
article

Closed Surface as Electron: The Schrödinger Equation Revisited

article en

Abstract

This short paper proposes a geometric reinterpretation of the Schrödinger equation by assuming that the electron is not a point particle, but a minimal closed surface. Under this assumption, two core aspects of the equation—(1) energy conservation in isolated systems and (2) orthogonality between position and momentum vectors—are no longer mysterious postulates, but become natural consequences of closed surface geometry.The wavefunction, in this view, describes modes of surface deformation and circulation, rather than probability amplitudes. This reframing provides intuitive clarity to the formal structure of quantum mechanics and opens the path for reconciling it with dynamic geometry and surface-based field theory.The document includes a theoretical formulation and the author’s rephrased equations.

Zenodo (CERN European Organization for Nuclear Research)
Life in Land
Openalex Percentile: Top 65%
Quantum and Classical Electrodynamics
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Closed Surface as Electron: The Schrödinger Equation Revisited · Zenodo (CERN European Organization for Nuclear Research) (2025) | TGRS Research Map | TGRS