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Abstract
We explore a two-photon model of a digital clock. The model implicates the use of spacetime algebra to describe Minkowski space on large scales, but suggests that its scale independent use in special relativity presupposes reference frames of infinite mass. A close look at the finite-frequency digital clock shows that either classical special relativity or Dirac propagation emerges from the clock depending on how the continuum limit is taken. If one smoothly interpolates the tick sequence the clock remains classical. If one extrapolates the inter-tick behaviour, wave propagation is implicated.
Index
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References
Bibliographical reference
Garnet N. Ord, « Minkowski Space : Tick Here », CASYS, 27 | 2014, 15-36.
Electronic reference
Garnet N. Ord, « Minkowski Space : Tick Here », CASYS [Online], 27 | 2014, Online since 01 October 2024, connection on 27 December 2024. URL : http://popups.uliege.be/3041-539x/index.php?id=3886
Author
Garnet N. Ord
Department of Mathematics, Ryerson University, Toronto Ontario, Canada