http://popups.lib.uliege.be/1373-5411/index.php?id=3244 Index terms fr 0 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 http://popups.lib.uliege.be/1373-5411/index.php?id=1255 A new General Lorentz Transformation model (GLT-model) derived by Novakovic ( 1999) for the particle motion in x-axis only, has been extended to the full form including y and z - axes. Starting with this transformation model, a general line element and a corresponding general metric tensor of GLT - model have been derived. The general line element and the metric tensor are functions of two free parameters α and α' , which are the functions of the space-time coordinates. The identification of two free parameters of GLT-model has been done for a weak and a strong gravitational field. The weak gravitational field solution of the two free parameters of GLT-model corresponds to the well-known Schwartzschild's metrics of the line element, for a spherically symmetric non-rotating body. It is very important to point out that the line element of GLT-model given in a non-diagonal form has got a very important property: non-singularity in a very strong gravitational field. Finally, a simple coordinate transformation procedure has been derived that transforms a general line element into diagonal one, with metric components (-1, 1, 1, 1), equal to the metrics in Special Relativity. Since the all items in SR and GR can be described as the functions of two free parameters of GLT-model, the possibilities of an unification of Einstein's Special and General Theories of Relativity, as well as a new unification of electromagnetic and gravitational fields are opened. Wed, 10 Jul 2024 09:47:56 +0200 Mon, 07 Oct 2024 15:44:23 +0200 http://popups.lib.uliege.be/1373-5411/index.php?id=1255 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