Velocity Reciprocity in Flat and Curved Space-Time

Patrick Moylan

doi:10.1007/978-981-19-4751-3_36

Velocity Reciprocity in Flat and Curved Space-Time

Patrick Moylan

Division of Engineering and Science (Abington)

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Abstract

There is a widely held misconception that velocity reciprocity follows solely from the relativity of motion principle, where by velocity reciprocity is meant that the velocity of a reference frame S relative to another reference frame S^′ is equal and opposite to the velocity of S^′ relative to S. This misconception still persists even today among many physicists, in spite of efforts by others to explain why it is wrong. In view of this situation, we consider it worthwhile to give some interesting examples illustrating why this misconception is wrong. Our examples include ones in both curved and flat spacetimes.

Original language	English (US)
Title of host publication	Lie Theory and Its Applications in Physics, 2021
Editors	Vladimir Dobrev
Publisher	Springer
Pages	403-410
Number of pages	8
ISBN (Print)	9789811947506
DOIs	https://doi.org/10.1007/978-981-19-4751-3_36
State	Published - 2022
Event	14th International Workshop on Lie Theory and Its Applications in Physics, LT 2021 - Virtual, Online Duration: Jun 21 2021 → Jun 25 2021

Publication series

Name	Springer Proceedings in Mathematics and Statistics
Volume	396
ISSN (Print)	2194-1009
ISSN (Electronic)	2194-1017

Conference

Conference	14th International Workshop on Lie Theory and Its Applications in Physics, LT 2021
City	Virtual, Online
Period	6/21/21 → 6/25/21

All Science Journal Classification (ASJC) codes

General Mathematics

Access to Document

10.1007/978-981-19-4751-3_36

Cite this

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title = "Velocity Reciprocity in Flat and Curved Space-Time",

abstract = "There is a widely held misconception that velocity reciprocity follows solely from the relativity of motion principle, where by velocity reciprocity is meant that the velocity of a reference frame S relative to another reference frame S′ is equal and opposite to the velocity of S′ relative to S. This misconception still persists even today among many physicists, in spite of efforts by others to explain why it is wrong. In view of this situation, we consider it worthwhile to give some interesting examples illustrating why this misconception is wrong. Our examples include ones in both curved and flat spacetimes.",

author = "Patrick Moylan",

note = "Publisher Copyright: {\textcopyright} 2022, The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd.; 14th International Workshop on Lie Theory and Its Applications in Physics, LT 2021 ; Conference date: 21-06-2021 Through 25-06-2021",

year = "2022",

doi = "10.1007/978-981-19-4751-3_36",

language = "English (US)",

isbn = "9789811947506",

series = "Springer Proceedings in Mathematics and Statistics",

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Moylan, P 2022, Velocity Reciprocity in Flat and Curved Space-Time. in V Dobrev (ed.), Lie Theory and Its Applications in Physics, 2021. Springer Proceedings in Mathematics and Statistics, vol. 396, Springer, pp. 403-410, 14th International Workshop on Lie Theory and Its Applications in Physics, LT 2021, Virtual, Online, 6/21/21. https://doi.org/10.1007/978-981-19-4751-3_36

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PY - 2022

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AB - There is a widely held misconception that velocity reciprocity follows solely from the relativity of motion principle, where by velocity reciprocity is meant that the velocity of a reference frame S relative to another reference frame S′ is equal and opposite to the velocity of S′ relative to S. This misconception still persists even today among many physicists, in spite of efforts by others to explain why it is wrong. In view of this situation, we consider it worthwhile to give some interesting examples illustrating why this misconception is wrong. Our examples include ones in both curved and flat spacetimes.

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Velocity Reciprocity in Flat and Curved Space-Time

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