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April 7, 20260 citationsOpen Access

The Electron Is the Binding: Mass, Constraint Patterns, and What "Same Particle" Means

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FSFranny Philos Sophia

Key Points

  • The aim is to redefine the electron's identity as a binding pattern rather than a fixed entity, altering conventional understandings in physics.
  • Develops a framework based on constraint ontology.
  • Explores the concept of particles as constraint patterns in a field.
  • Analyzes variations in effective mass based on binding constraints in solids.
  • Demonstrates that different electron bindings lead to distinct mass properties.
  • Shows effective mass varies dramatically based on binding constraints, not field excitation.
  • Argues that the concept of 'the same electron' is an illusion based on persistent bindings.

Abstract

Standard physics identifies a particle by its quantum numbers and treats this identity ascontext-independent: an electron in a hydrogen atom, an electron in a crystal lattice, and a "free" electron ina conductor are all "the same electron." Building on the constraint ontology developed in a companion paper— in which the physical world consists of a field and constraints upon it, and particles are constraint patterns("knots") in the field — this paper argues that "electron" names a binding pattern, not a persistent entity. Thefield excitation (energy carrying conserved quantum numbers) is a common substrate; the binding is whatdifferentiates. Different bindings constitute different electrons, and mass is a property of the binding, not ofthe bound. The effective mass of electrons in solids varies by nearly five orders of magnitude (from 0.014 min InSb to over 1000 m e e in heavy fermion compounds), and this variation is determined entirely by thebinding constraint — the band structure — not by the field excitation. The textbook mass meis itself theeffective mass of the vacuum binding, the product of renormalization in quantum electrodynamics, carryingno ontological privilege. The quasiparticle concept in condensed matter physics implicitly acknowledgesthat bound-state entities are distinct constraint patterns. Covalent bonding is better described asreorganization of constraint patterns than as sharing of persistent objects. The persistence illusion — theapparent return of "the same electron" upon re-binding — dissolves once the ontological locus shifts fromthe field excitation to the binding: the same binding always produces the same pattern because the constraintstructure has not changed. This framework dissolves the individuality debate in philosophy of physics,bridges the constraint-based lawhood program with particle metaphysics, and radicalizes ontic structuralrealism by showing that particle types — not just particle individuality — are structure-dependent.

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Cite This Study

Franny Philos Sophia (2026) studied this question.

synapsesocial.com/papers/69d49fa9b33cc4c35a2281a9https://doi.org/10.5281/zenodo.19426725
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Also Consider

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

  1. 1Argument for the Non-Identity of Electrons2026
  2. 2The Ontology of Particle: Localized Constrained-State Excitations, Persistence-as-Fixity and the Nodes of the Constraint Network2026
  3. 3The Electron as a Constrained-State Energy Structure: An Ontological Definition within Energy-Efficiency Theory2026
  4. 4Rethinking the Particle: Proton Knots and Electron Sheaths2026
  5. 5The Electron as an Equilibrium‑Coupling Mode: A Physics‑Only Structural Interpretation Consistent With QED, Scattering Data, and Atomic Chemistry2026