http://popups.lib.uliege.be/1373-5411/index.php?id=3887 Publications of Auteurs Garnet N. Ord fr 0 http://popups.lib.uliege.be/1373-5411/index.php?id=3886 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. Tue, 01 Oct 2024 10:25:43 +0200 Tue, 01 Oct 2024 10:25:52 +0200 http://popups.lib.uliege.be/1373-5411/index.php?id=3886 http://popups.lib.uliege.be/1373-5411/index.php?id=3243 Special Relativity uses Einstein's two postulates to derive the Lorentz transformation, setting the stage for the Minkowski Spacetime that informs the dynamics of massive particles. How massive particles extract information from spacetime is not specified. We propose a method of specification in a simple two dimensional model that enforces Lorentz covariance by a local rule of preserving spacetime area. The model agrees with the canonical spacetime prescription on large scales but on small scales has the advantage that a particle's mass is evident in the fine-scale geometry of its world-line. This has the interesting feature that quantum propagation arises as a consequence of special relativity. Thu, 12 Sep 2024 09:35:18 +0200 Thu, 10 Oct 2024 16:21:37 +0200 http://popups.lib.uliege.be/1373-5411/index.php?id=3243