Wednesday, 14 May 2025

Why Electrons Don’t Collapse Into the Nucleus: A Field Frequency Perspective

Why Electrons Don’t Collapse Into the Nucleus: A Field Frequency Perspective

Why Electrons Don’t Collapse Into the Nucleus: A Field Frequency Perspective

Supplement to “Why Electrons Don’t Crash into the Nucleus”

By Jim Redgewell

Abstract

In a previous article, I outlined the classical paradox of atomic stability and argued that electrons do not crash into the nucleus because of their field-based dynamics. In this supplementary note, I build on that foundation with a deeper proposal: that atomic stability arises from a mismatch in the fundamental oscillatory frequencies of the proton and electron fields. If mass, charge, and motion are emergent properties of oscillating field interactions, then the failure of the electron to collapse into the nucleus can be understood as a resonance barrier — a natural consequence of incommensurable field frequencies that prevents full synchronization.

1. Introduction

In classical physics, an orbiting electron should lose energy via radiation and spiral into the nucleus. Quantum mechanics resolves this with the notion of discrete energy levels, with the ground state as a stable configuration. However, this solution, while mathematically successful, leaves open the deeper question: why is the ground state stable?

In my previous article, “Why Electrons Don’t Crash into the Nucleus”, I suggested that the answer lies in the field-based nature of both electrons and protons. In this paper, I extend the idea by proposing that atomic stability is not just a quantum rule but an emergent result of frequency mismatch in the underlying fields of matter.

2. Charge and Mass as Emergent Field Properties

Electric charge, in this framework, is not a fundamental substance but a reflection of how different particle fields interact with the vacuum or with other fields. Each quark in the proton possesses its own field structure, and the sum of these gives rise to the proton’s overall charge. The electron, meanwhile, gets its own charge value from its unique field oscillation.

Mass, likewise, is treated as arising from the internal oscillatory energy of the field — from its interactions with the Higgs field and others. Using the relation \( E = hf \), we can associate each particle’s mass with a fundamental frequency:

  • Proton: ~938 MeV → higher frequency
  • Electron: ~0.511 MeV → lower frequency

Thus, each particle occupies a distinct “frequency layer” within the field space.

3. Frequency Mismatch as a Barrier to Collapse

This difference in field frequency is not just a number — it has dynamic implications. The idea proposed here is that a field can only synchronize or fully resonate with another field if their oscillations are compatible — that is, if their frequencies are harmonically related or at least phase-lockable.

The proton and electron fields, however, operate at vastly different frequencies and structures. This creates a kind of resonance barrier, which means the electron cannot “sink” into the proton's field core — it is effectively locked out of deeper configurations.

Instead, what emerges is a stable standing wave: the lowest energy orbital state, where the fields interact strongly enough to bind, but not so closely as to merge. This, in effect, is the 1s orbital in hydrogen.

4. Standing Waves and Field Confinement

Rather than imagining the electron as a particle orbiting the nucleus, we can understand it as a standing wave in the field structure — the result of interference patterns formed by the interaction of the electron’s oscillation with the proton’s field environment.

Just as a musical instrument string supports only certain notes based on its boundary conditions, so too does the field configuration around a nucleus only support discrete modes of vibration. These are the quantized energy levels we observe.

Collapse into the nucleus is prevented by the same principle that prevents dissonant vibrations from harmonizing: the fields simply don’t “fit” at the lower levels.

5. Broader Implications

This interpretation unifies several concepts:

  • Energy quantization becomes a natural outcome of field interaction and synchronization limits.
  • Electric charge reflects phase relationships in the field, not intrinsic properties.
  • Mass differences imply different internal clocks — the electron and proton “tick” at different rates, making full synchronization impossible.
  • Stability is not imposed, but emerges from the fundamental incompatibility of frequencies — a kind of dynamic exclusion principle.

6. Conclusion

The electron doesn’t crash into the nucleus not because of a rigid rule, but because the conditions for resonance do not exist. The proton and electron are not compatible oscillators; their fields operate at fundamentally different frequencies. This natural incompatibility prevents collapse and instead produces the stable structure of the atom — a beautiful equilibrium born from dissonance.

References & Further Reading

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