On the intrinsically cyclic nature of space-time in elementary particles

Abstract

We interpret the relativistic quantum behavior of elementary particles in terms of elementary cycles. This represents a generalization of the de Broglie hypothesis of intrinsically "periodic phenomenon", also known as "de Broglie internal clock". Similarly to a "particle in a box" or to a "vibrating string", the constraint of intrinsic periodicity represents a semi-classical quantization condition, with remarkable formal correspondence to ordinary relativistic quantum mechanics. In this formalism the retarded local variations of four-momentum characterizing relativistic interactions can be equivalently expressed in terms of retarded local modulations of de Broglie space-time periodicity, revealing a geometrodynamical nature of gauge interaction.

arXiv commentContribution to the proceedings of the 7th International Conference on Quantum Theory and Symmetries (QTS7), 7-13 August 2011, Prague, Czech Republic. 11 pages, minor corrections

References in corpus (3)

• Quantum mechanics: Myths and facts
• Time without time: a stochastic clock model
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Cited by in corpus (5)

• Elementary spacetime cycles
• Gauge Interaction as Periodicity Modulation
• Introduction to the Quantum Theory of Elementary Cycles: The Emergence of Space, Time and Quantum
• Classical geometry to quantum behavior correspondence in a Virtual Extra Dimension
• Unification of Relativistic and Quantum Mechanics from Elementary Cycles Theory