Waves, Velocity Addition and Doppler Effect in Light of EPRs Completeness Condition

Title

Waves, Velocity Addition and Doppler Effect in Light of EPRs Completeness Condition

Creator

Majhi, Abhishek; Kar, Tiyasa

Description

It is a standard practice to derive velocity addition rules for point particles from Galilean and Lorentz transformations in point (classical) mechanics, and to apply such rules to wave velocities for explaining Doppler effect. However, in such standard practice, it is never shown whether the equation for wave propagation actually transforms in a way such that the velocity addition rules get manifested through the equation itself. We address this gap in the literature as follows. We claim that the velocity addition for waves, being the one and only mean to explain the empirically verified Doppler effect, should be considered as an element of physical reality in accord with EPRs completeness condition of a physical theory. Therefore, the equation for wave propagation should manifest such velocity addition so as to be considered as a part of the respective physical theory of waves. We show that such manifestation is possible if and only if wave propagation is modeled with first order partial differential equations. From a historical point of view, this work settles the Doppler-Petzval debate which originated from Petzvals demand for an explanation of Doppler effect in terms of differential equations. From the foundational perspective, this work sets the stage for a renewed focus on the mathematical modeling of wave phenomena, especially in the context of various Doppler effects. The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature 2025.

Source

International Journal of Theoretical Physics;Volume;64;Issue;10;Article No.;269;

Date

01-01-2025

Publisher

Springer

Subject

Coordinate transformation; Doppler effect; EPR Completeness condition; Velocity addition; Wave equation

Coverage

Majhi A., National Institute of Technology, Jharkhand, Jamshedpur, 831014, India, Christ University, Karnataka, Bangalore, 560029, India, Indian Statistical Institute, West Bengal, Kolkata, 700108, India; Kar T., Department of Physics, North Carolina State University, Raleigh, 27695, NC, United States

Rights

Restricted Access; Hardcopy may be available in the library

Relation

ISSN: 207748;

Format

online

Language

English

Type

Article

Identifier

https://doi.org/10.1007/s10773-025-06131-1

https://www.scopus.com/pages/publications/105018189553?origin=resultslist