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Relational Space-Time and de Broglie Waves

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Abstract

Relative motion of particles is examined in the context of relational space-time. It is shown that de Broglie waves may be derived as a representation of the coordinate maps between the rest-frames of these particles. Energy and momentum are not absolute characteristics of these particles, they are understood as parameters of the coordinate maps between their rest-frames. It is also demonstrated the position of a particle is not an absolute, it is contingent on the frame of reference used to observe the particle.

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Notes

  1. de Broglie waves as defined by Dirac [38] p. 120.

  2. In the sense used by Minkowski, Cologne (1908) [45].

  3. This was alluded to by Kastner in footnote 3 of [24].

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  1. Department of Computing and Mathematics, South East Technological University, Waterford, Ireland

    Tony Lyons

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Lyons, T. Relational Space-Time and de Broglie Waves. Found Phys 53, 70 (2023). https://doi.org/10.1007/s10701-023-00715-9

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