Absolute and Relative Velocity in L-ARF

This article presents an analysis of absolute and relative velocity within the L-ARF (Light – Absolute Reference Framework). In L-ARF, velocities are primarily defined relative to vacuum — as absolute velocities. The relative velocity between two inertial reference frames is a derived concept, not a primary one. The article shows how the absolute velocities of two inertial reference frames — a train and a platform — can be determined separately via light signal travel times, using the formula v = c·Δt/Σt. The relative velocity then follows as r_v = |v_p - v_t|. Consistency is verified in a special case where the platform is at absolute rest relative to vacuum. As an application, Einstein's train experiment is analysed with realistic absolute velocities (v_p = 30,000 m/s, v_t = 30,100 m/s). It is shown that neither observer M nor M' sees the lightning bolts simultaneously — both have asymmetric arrival times that follow directly from their absolute velocities. SR's choice of the platform's IRF as "stationary" conceals this underlying physical reality.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-08-20
DOI
https://doi.org/10.5281/zenodo.22025542
Primary Topic
Relativity and Gravitational Theory
Type
preprint
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preprint

Absolute and Relative Velocity in L-ARF

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

Absolute and Relative Velocity in L-ARF

Jan Slowak
preprint en

Abstract

This article presents an analysis of absolute and relative velocity within the L-ARF (Light – Absolute Reference Framework). In L-ARF, velocities are primarily defined relative to vacuum — as absolute velocities. The relative velocity between two inertial reference frames is a derived concept, not a primary one. The article shows how the absolute velocities of two inertial reference frames — a train and a platform — can be determined separately via light signal travel times, using the formula v = c·Δt/Σt. The relative velocity then follows as r_v = |v_p - v_t|. Consistency is verified in a special case where the platform is at absolute rest relative to vacuum. As an application, Einstein's train experiment is analysed with realistic absolute velocities (v_p = 30,000 m/s, v_t = 30,100 m/s). It is shown that neither observer M nor M' sees the lightning bolts simultaneously — both have asymmetric arrival times that follow directly from their absolute velocities. SR's choice of the platform's IRF as "stationary" conceals this underlying physical reality.

Zenodo (CERN European Organization for Nuclear Research)
Relativity and Gravitational Theory
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Absolute and Relative Velocity in L-ARF — Jan Slowak · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS