Saturday, 3 May 2025

Spin, Phase Coherence, and the Pauli Exclusion Principle in Tugboat Theory

Spin, Phase Coherence, and the Pauli Exclusion Principle in Tugboat Theory

Spin, Phase Coherence, and the Pauli Exclusion Principle in Tugboat Theory

In the standard quantum mechanical framework, spin-1/2 particles (fermions) exhibit several non-intuitive features: they require a 720-degree rotation to return to their original state, they possess intrinsic angular momentum that is not classically explainable, and they obey the Pauli exclusion principle, which prevents two identical fermions from occupying the same quantum state. While these properties are well captured by the mathematics of spinors and antisymmetric wavefunctions, the physical origin remains abstract.

Tugboat Theory offers a new interpretation by treating fermions as coherently rotating field structures with delayed internal synchronization. This approach reframes spin, exclusion, and charge as emergent properties of geometry, topology, and temporal coherence in rotating fields.


1. Spin as Topological Rotation

In Tugboat Theory, a fermion such as the electron is modeled not as a point particle, but as a spatially extended, rotating field. The internal rotation is not a physical spinning in space, but a rotation in phase space or a more abstract internal field. Due to the field’s topological constraints, a 360-degree rotation does not fully return the system to its original state. Only after 720 degrees does the full field configuration re-synchronize — a natural explanation for the spin-1/2 behavior.

This aligns with the known behavior of spinors in SU(2) space, but here it arises as a real, physical consequence of how phase alignment propagates through a structured, rotating field with delay. The field’s phase continuity wraps twice around before returning to its baseline configuration.


2. Pauli Exclusion as Phase Conflict

The Pauli exclusion principle states that no two identical fermions can occupy the same quantum state. In Tugboat Theory, this is reinterpreted physically: each fermion’s field occupies a specific rotational phase configuration. If two such rotating fields attempt to overlap in space with identical phase alignment, they interfere destructively.

Moreover, because electrons carry the same charge, they generate repulsive electromagnetic fields. If two electrons attempt to occupy the same region of space, their like charges create not only a dynamic field incompatibility, but also an energetic barrier. This reinforces the phase-based exclusion: the coherence of their internal rotations is doubly prevented — by destructive phase interference and electrostatic repulsion.

Thus, exclusion is not enforced merely by abstract antisymmetry, but by a combination of physical constraints. The overlapping of two rotating, phase-coherent, equally charged fields is dynamically forbidden. The system would lose coherence and become energetically unstable.

This interpretation transforms exclusion from a statistical rule to a dynamical constraint arising from the physical structure of phase coherence in rotating fields.


3. Dual Field Structures and the Origin of Charge

Extending this idea, the electron may consist of two coupled rotating fields: one associated with electromagnetism, and another with the Higgs field, responsible for mass. Their combined rotation leads to a persistent asymmetry — a rectified phase pattern that manifests as electric charge.

Charge conservation follows from the topological integrity of this dual-field system. The rotating fields cannot shift phase independently without breaking coherence. Thus, charge becomes a conserved result of field geometry, not an arbitrary attribute.


Conclusion

In Tugboat Theory, spin-1/2 behavior and the Pauli exclusion principle find new grounding in the geometry and timing of rotational fields. Phase lag, topological wrapping, and coherence thresholds combine to explain the puzzling features of fermions. This reinterpretation opens a door to deeper physical insight into quantum mechanics, and potentially, to new experimental predictions about the limits of particle overlap, spin decoherence, and the nature of charge.

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