Minkowski Space : Tick Here

p. 15-36

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.

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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 13 November 2024. URL : http://popups.lib.uliege.be/1373-5411/index.php?id=3886

Author

Garnet N. Ord

Department of Mathematics, Ryerson University, Toronto Ontario, Canada

By this author

Copyright

CC BY-SA 4.0 Deed