Intrinsic periodicity: the forgotten lesson of quantum mechanics

6th International Workshop DICE2012 Spacetime – Matter – Quantum Mechanics: From the Planck Scale to Emergent Phenomena

物理学;力学

Dolce, Donatello^1,2

University of Melbourne, Parkville 3010 VIC, Australia^1

University of Camerino, Piazza Cavour 19F, 62032 Camerino, Italy^2

关键词: A-particles;    General Relativity;    Periodic phenomena;    Quantization condition;    Relativistic quantum mechanics;    Vibrating string;    Vibrational modes;    Wave-particle duality;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/442/1/012048/pdf
DOI  :  10.1088/1742-6596/442/1/012048

学科分类：力学，机械学

来源: IOP

【 摘 要 】

Wave-particle duality, together with the concept of elementary particles, was introduced by de Broglie in terms of intrinsically periodic phenomena. However, after nearly 90 years, the physical origin of such undulatory mechanics remains unrevealed. We propose a natural realization of the de Broglie periodic phenomenon in terms of harmonic vibrational modes associated to space-time periodicities. In this way we find that, similarly to a vibrating string or a particle in a box, the intrinsic recurrence imposed as a constraint to elementary particles represents a fully consistent quantization condition. The resulting cyclic dynamics formally match ordinary relativistic Quantum Mechanics in both the canonical and Feynman formulations. Interactions are introduced in a geometrodynamical way, similarly to general relativity, by simply considering that variations of kinematical state can be equivalently described in terms of modulations of space-time recurrences, as known from undulatory mechanics. We present this novel quantization prescription from an historical prospective.