A Geometric Framework for Internal Electron Structure

Satoshi Hanamura

Independent Researcher / Amateur Theoretical Physicist

Field: Quantum Geometry, Spin, Zitterbewegung

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⚪ Key Aspects of the 0-Sphere Model

The 0-Sphere model is a theoretical framework that proposes an electron consists of two kernels, which exchange energy through a photon sphere. This model uses a geometric concept of a 0-sphere (a pair of points) to represent the positions of these two thermal potential energies (TPEs), suggesting they correspond to the extremities of a one-dimensional line segment. The model also extends to broader concepts, suggesting that conserved quantities and even fundamental symmetries like time and spin emerge from the intrinsic geometry of quantum systems rather than being externally imposed.

• Electron Structure: The model describes an electron as composed of two components, or "kernels," that are linked by a photon sphere, which facilitates energy exchange.
• 0-Sphere Concept: A 0-sphere is defined geometrically as a pair of points at the ends of a one-dimensional line segment. This abstract concept represents the positions of the two fundamental parts of the electron.
• Emergent Properties: The 0-sphere framework suggests that fundamental aspects of physics, such as energy conservation and spin, arise from the internal geometric dynamics of quantum systems.
• Time and Energy: Time is not a fundamental background parameter in this model but rather a derived quantity that arises from energy flow, as stated by the principle "Time does not flow unless energy flows".
• Reinterpreting Physics: The model offers a new perspective on established concepts, suggesting that gauge symmetries can emerge from the internal phase dynamics of electrons and that anomalies can be interpreted as coordinate-dependent phenomena.
• Background-Independent Framework: The aim is to unify quantum mechanics and general relativity through shared geometric principles, creating a background-independent theory.

⚪ Thermodynamic Foundations and Internal Dynamics

The core innovation lies in treating the electron as an isolated thermodynamic system containing two "perfect black body" thermal sources. Each kernel exhibits periodic behavior described by trigonometric functions: one kernel radiates thermal energy (cos⁴(ωt/2)) while the other absorbs (sin⁴(ωt/2)), creating a temperature gradient that drives internal photon motion.

This thermal gradient drives a real photon that oscillates between the kernels as a simple harmonic oscillator, carrying kinetic energy while the kernels provide thermal potential energy. The system maintains energy conservation: Total Energy = Thermal Energy (kernels) + Kinetic Energy (internal photon sphere).