The Train and the Light Pulse – Invariance of Distance and Absolute Time

In this article a variant of a frequently cited thought experiment within the framework of the light postulate is analyzed. We consider two inertial reference frames, IRF, F(O) representing the platform and F'(O') representing the train, and a single light pulse emitted at the common origin O = O' at time t=t'=0. With the assumption that the speed of light is the same in all IRFs, and that the platform, the train and the light pulse are unique physical objects observed in both frames, we derive that the physical distances must be invariant: vt=vt' and ct=ct'. From this follows directly t=t', which contradicts the conventional time dilation formula t'=gamma t. The relation between the frames is described as a spatial translation preserving physical distance: x' = x - vt, t' = t. The distinction between coordinate value x' and physical distance d is central: x' != d in F', but d is invariant. We conclude that the light postulate, combined with the assumption of a shared physical reality observed in both frames, implies absolute simultaneity between IRFs. This challenges the standard interpretation of time dilation.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-09-30
DOI
https://doi.org/10.5281/zenodo.23066150
Primary Topic
Relativity and Gravitational Theory
Type
preprint
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preprint

The Train and the Light Pulse – Invariance of Distance and Absolute Time

Jan Slowak
Zenodo (CERN European Organization for Nuclear Research)
Relativity and Gravitational Theory
preprint

The Train and the Light Pulse – Invariance of Distance and Absolute Time

Jan Slowak
preprint en

Abstract

In this article a variant of a frequently cited thought experiment within the framework of the light postulate is analyzed. We consider two inertial reference frames, IRF, F(O) representing the platform and F'(O') representing the train, and a single light pulse emitted at the common origin O = O' at time t=t'=0. With the assumption that the speed of light is the same in all IRFs, and that the platform, the train and the light pulse are unique physical objects observed in both frames, we derive that the physical distances must be invariant: vt=vt' and ct=ct'. From this follows directly t=t', which contradicts the conventional time dilation formula t'=gamma t. The relation between the frames is described as a spatial translation preserving physical distance: x' = x - vt, t' = t. The distinction between coordinate value x' and physical distance d is central: x' != d in F', but d is invariant. We conclude that the light postulate, combined with the assumption of a shared physical reality observed in both frames, implies absolute simultaneity between IRFs. This challenges the standard interpretation of time dilation.

Zenodo (CERN European Organization for Nuclear Research)
Relativity and Gravitational Theory
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The Train and the Light Pulse – Invariance of Distance and Absolute Time — Jan Slowak · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS