The non-invariant time and Lorentz-like transformations

From the comparison of time in inertial frames, possible types of transformations between inertial frames are deduced. This elementary deduction directly relates the properties of time with the type of transformations. When all inertial frames measure the same time (time is absolute), the transforma...

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Main Author: Boris Čulina
Format: Article
Language:Portuguese
Published: Sociedade Brasileira de Física 2025-01-01
Series:Revista Brasileira de Ensino de Física
Subjects:
Online Access:http://www.scielo.br/scielo.php?script=sci_arttext&pid=S1806-11172025000100404&lng=en&tlng=en
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author Boris Čulina
author_facet Boris Čulina
author_sort Boris Čulina
collection DOAJ
description From the comparison of time in inertial frames, possible types of transformations between inertial frames are deduced. This elementary deduction directly relates the properties of time with the type of transformations. When all inertial frames measure the same time (time is absolute), the transformations are Galilean. When each inertial frame has its own time, different from the times of other inertial frames (time is not invariant) the transformations are Lorentz-like with the same positive parameter k. The parameter k is the supremum of possible velocities in an inertial frame, the same for all inertial frames. Einstein’s postulate about the invariance of the speed of light says more: there is a uniform motion with the supremum k, which is exactly the motion of light in a vacuum. At the end of the article, attempts to reduce the special theory of relativity to the principle of relativity are criticized.
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issn 1806-9126
language Portuguese
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publisher Sociedade Brasileira de Física
record_format Article
series Revista Brasileira de Ensino de Física
spelling doaj-art-b1119dc287834d688066bc01a083635f2025-01-21T07:36:50ZporSociedade Brasileira de FísicaRevista Brasileira de Ensino de Física1806-91262025-01-014710.1590/1806-9126-rbef-2024-0332The non-invariant time and Lorentz-like transformationsBoris Čulinahttps://orcid.org/0000-0002-4195-6936From the comparison of time in inertial frames, possible types of transformations between inertial frames are deduced. This elementary deduction directly relates the properties of time with the type of transformations. When all inertial frames measure the same time (time is absolute), the transformations are Galilean. When each inertial frame has its own time, different from the times of other inertial frames (time is not invariant) the transformations are Lorentz-like with the same positive parameter k. The parameter k is the supremum of possible velocities in an inertial frame, the same for all inertial frames. Einstein’s postulate about the invariance of the speed of light says more: there is a uniform motion with the supremum k, which is exactly the motion of light in a vacuum. At the end of the article, attempts to reduce the special theory of relativity to the principle of relativity are criticized.http://www.scielo.br/scielo.php?script=sci_arttext&pid=S1806-11172025000100404&lng=en&tlng=enTimeLorentz-like transformationsthe relativity principlethe invariance of the speed of light
spellingShingle Boris Čulina
The non-invariant time and Lorentz-like transformations
Revista Brasileira de Ensino de Física
Time
Lorentz-like transformations
the relativity principle
the invariance of the speed of light
title The non-invariant time and Lorentz-like transformations
title_full The non-invariant time and Lorentz-like transformations
title_fullStr The non-invariant time and Lorentz-like transformations
title_full_unstemmed The non-invariant time and Lorentz-like transformations
title_short The non-invariant time and Lorentz-like transformations
title_sort non invariant time and lorentz like transformations
topic Time
Lorentz-like transformations
the relativity principle
the invariance of the speed of light
url http://www.scielo.br/scielo.php?script=sci_arttext&pid=S1806-11172025000100404&lng=en&tlng=en
work_keys_str_mv AT borisculina thenoninvarianttimeandlorentzliketransformations
AT borisculina noninvarianttimeandlorentzliketransformations