Passive Lorentz transformations with spacetime algebra

Simple item page
dc.creatorPaiva, Carlos R.
dc.date2005-08-31
dc.date2005-11-22
dc.date.accessioned2026-07-07T06:43:26Z
dc.date.available2026-07-07T06:43:26Z
dc.descriptionIn special relativity, spacetime algebra (STA) provides a powerful and insightful approach to an invariant formulation of physics. However, in this geometric algebra of spacetime, relativistic physics is usually considered a misnomer: STA provides us with an invariant (coordinate-free) formulation and hence it seems that (passive) Lorentz transformations are misplaced. However, in order to interpret experimental results, it is important to relate invariant physical quantities to some reference frame. In this paper, passive Lorentz transformations are derived using STA but without the second postulate on the speed of light used by Einstein. This derivation sheds light on the physical background of STA and, at the same time, clarifies Lorentz transformations in the proper setting of (Minkowski) four-dimensional spacetime.
dc.description14 pages, 2 figures, revised version
dc.identifierhttps://arxiv.org/abs/physics/0508225
dc.identifierhttp://arxiv.org/abs/physics/0508225
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/102413
dc.subjectPhysics Education
dc.subjectClassical Physics
dc.titlePassive Lorentz transformations with spacetime algebra
dc.typetext

Files

Collections

arXiv