Dublin Core The Dublin Core metadata element set is common to all Omeka records, including items, files, and collections. For more information see, http://dublincore.org/documents/dces/. Title A name given to the resource Faculty Publications Article Faculty Publications -Articles Dublin Core The Dublin Core metadata element set is common to all Omeka records, including items, files, and collections. For more information see, http://dublincore.org/documents/dces/. Creator An entity primarily responsible for making the resource Majhi, Abhishek; Kar, Tiyasa Title A name given to the resource Waves, Velocity Addition and Doppler Effect in Light of EPRs Completeness Condition Date A point or period of time associated with an event in the lifecycle of the resource 01-01-2025 Source A related resource from which the described resource is derived International Journal of Theoretical Physics;Volume;64;Issue;10;Article No.;269; Identifier An unambiguous reference to the resource within a given context <a href="https://doi.org/10.1007/s10773-025-06131-1" target="_blank" rel="noreferrer noopener">https://doi.org/10.1007/s10773-025-06131-1</a> <br /><br /><a href="https://www.scopus.com/pages/publications/105018189553?origin=resultslist" target="_blank" rel="noreferrer noopener">https://www.scopus.com/pages/publications/105018189553?origin=resultslist</a> Coverage The spatial or temporal topic of the resource, the spatial applicability of the resource, or the jurisdiction under which the resource is relevant 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 Description An account of the resource 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. Subject The topic of the resource Coordinate transformation; Doppler effect; EPR Completeness condition; Velocity addition; Wave equation Publisher An entity responsible for making the resource available Springer Relation A related resource ISSN: 207748; Language A language of the resource English Type The nature or genre of the resource Article Rights Information about rights held in and over the resource Restricted Access; Hardcopy may be available in the library Format The file format, physical medium, or dimensions of the resource online