[Paper Review] Electron as a Complex-Dynamical Interaction Process

Andrei P. Kirilyuk|ArXiv.org|Oct 28, 2004

Quantum Mechanics and Applications30 references3 citations

TL;DR

This paper proposes that the electron arises from a self-sustaining, nonlinear dynamical interaction between two initially homogeneous fields, leading to chaotic, periodic spatial pulsations ('quantum beat') that manifest as a massive, localized particle. The theory derives mass, wave-particle duality, quantum mechanics, and special relativity from a unified dynamic complexity framework without additional postulates, offering a causal, unified explanation of fundamental physics grounded in interaction processes.

ABSTRACT

A system of two initially homogeneous, physically real fields uniformly attracted to each other is considered as the simplest basis of the self-developing world structure. It is shown that the system is unstable against periodic cycles of self-amplified, essentially nonlinear squeeze of its extended part to a small volume around randomly chosen centre, followed by the reverse extension. The resulting spatially random pulsation, or "quantum beat", is observed as (massive) elementary particle such as the electron. The property of mass is then universally and consistently defined as temporal rate of such dynamically chaotic and essentially nonlinear quantum beat, without introduction of any additional entities. The obtained picture can be considered as complex-dynamical completion of the "double solution" concept of Louis de Broglie. The dynamically emerging wave-particle duality, quantum discreteness, indeterminacy, space, and time lead to the equations of special relativity and quantum mechanics, providing their causal explanation and explicit unification. The elementary particle structure, its intrinsic properties, quantum and relativistic behaviour are obtained thus all together, within the unified analysis of the unreduced interaction process leading to the universal concept of dynamic complexity. The same complex-dynamical process accounts for the universal gravitation and general relativity. The electromagnetic, weak, and strong types of interaction between particles also constitute integral, dynamically unified parts of quantum beat processes inside elementary particles. The classical, dynamically localised behaviour emerges in a closed system as a higher complexity level corresponding to formation of elementary bound systems (like atoms).

Motivation & Objective

• To provide a causal, unified explanation of the electron's structure and properties based on fundamental field interactions.
• To derive quantum mechanics and special relativity from a single dynamical process without introducing ad hoc entities.
• To resolve the wave-particle duality and quantum indeterminacy through a nonlinear, self-organized spatial pulsation mechanism.
• To unify electromagnetic, weak, strong, and gravitational interactions as integral parts of the same dynamic process.
• To establish a framework where classical behavior emerges as a higher-level complexity in bound systems like atoms.

Proposed method

• Model a system of two physically real, initially homogeneous fields mutually attracted to each other.
• Analyze the system’s instability leading to periodic, self-amplified nonlinear squeeze of the extended field into a small volume, followed by reverse expansion.
• Define mass as the temporal rate of this chaotic, nonlinear quantum beat process.
• Use the resulting dynamic complexity to derive wave-particle duality, quantum discreteness, and indeterminacy as emergent properties.
• Show that the same process yields the equations of special relativity and quantum mechanics through geometric and temporal constraints.
• Extend the framework to include electromagnetic, weak, strong, and gravitational interactions as unified components of the internal dynamics of the quantum beat.

Experimental results

Research questions

• RQ1 How can the electron’s mass and stability emerge from a fundamental field interaction without postulating point-like particles?
• RQ2 What dynamical mechanism underlies the wave-particle duality and quantum indeterminacy in a causal, non-probabilistic framework?
• RQ3 Can quantum mechanics and special relativity be derived from a single, unified nonlinear interaction process?
• RQ4 How do electromagnetic, weak, strong, and gravitational interactions arise as integral parts of the same dynamic structure?
• RQ5 What is the origin of classical behavior in bound systems like atoms within this dynamic complexity framework?

Key findings

• The electron is not a point particle but a dynamically self-organized, spatially random pulsation resulting from nonlinear field interactions.
• Mass is defined universally as the temporal rate of the chaotic, nonlinear quantum beat process, without additional assumptions.
• Wave-particle duality, quantum discreteness, and indeterminacy emerge naturally from the dynamic complexity of the interaction process.
• The equations of special relativity and quantum mechanics are derived as consequences of the underlying dynamical structure.
• Electromagnetic, weak, strong, and gravitational interactions are unified as integral components of the internal dynamics of the quantum beat process.
• Classical, localized behavior emerges at higher complexity levels as bound systems form, such as atoms.