Electromagnetic Energy Levels and Particle Indistinguishability: A Hierarchical Revision of the "One-Electron Universe" Hypothesis

Author: Zhang Suhang, Luoyang, Henan

Abstract

Traditional quantum electrodynamics treats identical particles as an a priori experimental fact. Wheeler once proposed the "one-electron universe" hypothesis, attempting to account for the equivalence and indistinguishability of electrons and positrons by invoking a single electron moving back and forth along the time axis. Nevertheless, this hypothesis faces fundamental difficulties regarding particle number asymmetry and cosmological observations. Based on the ontological framework of hierarchical energy structures, this paper proposes that electromagnetic interaction is not merely a fundamental force, but a stable "energy-level platform" in the universe. Energy condenses at this energy level to form stable structured entities with a definite rest mass (m_e c^2), namely electrons. The strict indistinguishability of all electrons in the universe arises not because they are one and the same electron, but because they all condense from this unified electromagnetic energy level. The absolute identity of the electromagnetic energy level determines the absolute indistinguishability of the structural condensates formed at this level. This model offers a new ontological interpretation of identical particles and resolves the theoretical dilemmas encountered by the one-electron universe hypothesis.

Keywords: electromagnetic energy level; identical particles; one-electron universe; hierarchical energy structure; electron rest mass

1 Introduction

Within the framework of conventional physics, the indistinguishability of particles such as electrons and positrons is regarded as a fundamental experimental fact. All electrons possess identical rest mass, charge, spin and intrinsic quantum numbers. This property is formally expressed through field operator commutation relations in quantum field theory, yet it receives no deeper ontological explanation.

Wheeler put forward the famous one-electron universe hypothesis to Feynman: there may exist only one electron in the universe, which travels back and forth in time. It behaves as an electron when moving forward in time and as a positron when moving backward in time. Though mathematically elegant, this hypothesis encounters insurmountable physical obstacles: it cannot explain the large observed asymmetry between the quantities of matter and antimatter in the universe, and it lacks any testable observational criteria.

Building upon the hierarchical energy structure framework, this paper develops an alternative interpretive approach: electromagnetic interaction itself constitutes a stable energy-level platform. Energy condenses on this platform to generate electrons. The strict indistinguishability of all electrons in the universe originates from their formation via condensation on this unified electromagnetic energy level.

2 Electromagnetic Energy Levels within the Hierarchical Energy Framework

2.1 Electromagnetic Interaction as an Energy‑Level Platform

Within the hierarchical model adopted in this paper, energy exists in two fundamental forms:

- Structured high-grade form: energy bound within fermionic structures and manifesting as rest mass, corresponding to a low-entropy state.

- Diffuse low-grade form: energy existing in the form of free electromagnetic photons, corresponding to a high-entropy state.

This paper further proposes that electromagnetic interaction serves as the energy-level platform separating these two forms. When energy condenses at this platform, stable structured particles (electrons/positrons) are formed; when energy de-excites from this platform, it is released in the form of diffuse photons.

The electromagnetic energy level has three core features:

1. Absolute identity: the coupling strength of electromagnetic interaction remains strictly consistent across the universe, independent of time, space or environmental conditions.

2. Quantized stability: condensed products at this energy level possess a fixed rest mass m_e c^2, which cannot vary continuously.

3. Universal validity: this energy-level platform functions everywhere in the universe.

2.2 Electromagnetic Energy Levels and Electron Indistinguishability

Under the above framework, the indistinguishability of electrons receives a new ontological explanation: all electrons in the universe are strictly identical because they all condense from the same electromagnetic energy level.

Specifically:

- The electron rest mass m_e c^2 represents the structured energy packet condensed at this energy level.

- The electron charge e characterizes the coupling strength between this energy level and the electromagnetic field.

- The electron spin 1/2 is a topological property of the condensed structure at this energy level.

Since the electromagnetic energy level is absolutely identical throughout the universe, structural condensates formed at this level must share identical intrinsic properties including mass, charge and spin. Indistinguishability is not an "extra attribute" of electrons, but a direct projection of the identity of the electromagnetic energy level onto particles.

3 Revision of the One-Electron Universe Hypothesis

3.1 Core Difficulties of the One-Electron Universe Hypothesis

Wheeler’s one-electron universe hypothesis seeks to explain the indistinguishability and equivalence of electrons and positrons by means of a single electron moving back and forth in time. It faces the following fundamental challenges:

1. Particle number asymmetry: if only one worldline of an electron travels through time, it cannot account for the large observed asymmetry between the number of electrons and positrons, as well as the cosmic matter-antimatter asymmetry.

2. Path dependence: if there exists merely one electron, its history must be extraordinarily special to produce all observed electrons and positrons, corresponding to an extremely low probability of coincidence.

3. Untestability: the hypothesis yields no decisive observational predictions.

3.2 Alternative Interpretation via the Electromagnetic Energy Level Framework

The electromagnetic energy level framework proposed in this paper provides a more concise and self-consistent account of particle indistinguishability:

- There exists a vast number of electrons in the universe. They are not one single electron travelling through time repeatedly; instead, each independently condenses into structured fermionic packets at the same electromagnetic energy level.

- The asymmetry between electron and positron numbers is no longer a theoretical difficulty. It becomes a statistical distribution problem between structured energy and diffuse energy on the electromagnetic energy level (consistent with the author’s prior discussion on hierarchical evolution of matter-energy transformation).

Therefore, the problem Wheeler’s one-electron universe hypothesis aimed to address — particle indistinguishability — is naturally resolved within the electromagnetic energy level framework. Indistinguishability no longer requires the assumption of "one single electron", and can be explained solely by "one unified energy level".

3.3 Comparison and Discriminant Analysis

表格
Dimension One-Electron Universe Hypothesis Electromagnetic Energy Level Framework
Origin of indistinguishability One single electron travelling back and forth in time Structural condensation on an identical energy level
Matter-antimatter asymmetry Cannot explain Treated as a statistical distribution problem
Testability No clear predictions Compatible with models of matter-energy transition and dark energy evolution
Ontological foundation Time symmetry Hierarchical energy structure

4 Discussion

The core innovations of this model are as follows:

1. Reinterpreting electromagnetic interaction, conventionally regarded as a fundamental force, as a stable energy-level platform for energy structuring.
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2. Providing a new ontological explanation for particle indistinguishability: indistinguishability arises from the identity of energy levels rather than the individual identity of particles.
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3. Resolving the theoretical dilemmas of the one-electron universe hypothesis while retaining the core research question that motivated the hypothesis.

Boundaries to be clarified:

1. The electromagnetic energy level is an ontological concept proposed within this paper’s framework; it is not an established concept in the Standard Model.
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2. This paper does not reject the formal description of identical particles in quantum field theory; rather, it offers a deeper hierarchical interpretation on top of that formalism.
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3. This framework does not introduce new experimental predictions; it belongs to conceptual theoretical construction in physics.

5 Conclusion

Within the hierarchical energy structure framework, this paper introduces the concept of electromagnetic energy level and applies it to revise the one-electron universe hypothesis. The core conclusions are:

1. Electromagnetic interaction can be interpreted as a stable energy-level platform of the universe.
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2. The strict indistinguishability of all electrons in the universe originates from their condensation at the same electromagnetic energy level.
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3. Particle indistinguishability does not need to be explained by "one single electron moving back and forth in time"; it can be accounted for by structural condensation at one unified energy level.
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4. This framework resolves the fundamental difficulties of the one-electron universe hypothesis regarding particle number asymmetry and testability.

This model supplies a new ontological perspective for particle indistinguishability, forming a self-consistent theoretical system together with the author’s prior work on hierarchical evolution of matter-energy transformation and the origin of dark energy energy-level degradation.

References

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