Deriving Maxwell's Equations from First Principles of Relativistic Charge Invariance and Space-Time Relations

Nirod K. Das

doi:10.1109/APS/URSI47566.2021.9703839

Deriving Maxwell's Equations from First Principles of Relativistic Charge Invariance and Space-Time Relations

Nirod K. Das

Electrical and Computer Engineering

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

Abstract

The paper introduces a simple, rigorous approach to derive Maxwell's equations from first principles, based on an invariant form of the Gauss' law using only basic space-time transformation relations of special relativity. More advanced concepts of relativistic mechanics, such as transformation of mass, momentum and force, are not necessary in this development, resulting in a simple theory. The new derivation is of fundamental theoretical significance in electromagnetic theory, making Maxwell's equations less mysterious to comprehend, and would fill an educational need to introduce the modern theory of special relativity to derive electromagnetic theory from the first principles. The approach would be suitable for a senior (even junior) undergraduate or an introductory graduate engineering student, depending on the level of depth and rigor.

Original language	English (US)
Title of host publication	2021 IEEE International Symposium on Antennas and Propagation and North American Radio Science Meeting, APS/URSI 2021 - Proceedings
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	615-616
Number of pages	2
ISBN (Electronic)	9781728146706
DOIs	https://doi.org/10.1109/APS/URSI47566.2021.9703839
State	Published - 2021
Event	2021 IEEE International Symposium on Antennas and Propagation and North American Radio Science Meeting, APS/URSI 2021 - Singapore, Singapore Duration: Dec 4 2021 → Dec 10 2021

Publication series

Name	2021 IEEE International Symposium on Antennas and Propagation and North American Radio Science Meeting, APS/URSI 2021 - Proceedings

Conference

Conference	2021 IEEE International Symposium on Antennas and Propagation and North American Radio Science Meeting, APS/URSI 2021
Country/Territory	Singapore
City	Singapore
Period	12/4/21 → 12/10/21

ASJC Scopus subject areas

Computer Networks and Communications
Instrumentation

Access to Document

10.1109/APS/URSI47566.2021.9703839

Cite this

Das, N. K. (2021). Deriving Maxwell's Equations from First Principles of Relativistic Charge Invariance and Space-Time Relations. In 2021 IEEE International Symposium on Antennas and Propagation and North American Radio Science Meeting, APS/URSI 2021 - Proceedings (pp. 615-616). (2021 IEEE International Symposium on Antennas and Propagation and North American Radio Science Meeting, APS/URSI 2021 - Proceedings). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/APS/URSI47566.2021.9703839

Deriving Maxwell's Equations from First Principles of Relativistic Charge Invariance and Space-Time Relations. / Das, Nirod K.
2021 IEEE International Symposium on Antennas and Propagation and North American Radio Science Meeting, APS/URSI 2021 - Proceedings. Institute of Electrical and Electronics Engineers Inc., 2021. p. 615-616 (2021 IEEE International Symposium on Antennas and Propagation and North American Radio Science Meeting, APS/URSI 2021 - Proceedings).

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

Das, NK 2021, Deriving Maxwell's Equations from First Principles of Relativistic Charge Invariance and Space-Time Relations. in 2021 IEEE International Symposium on Antennas and Propagation and North American Radio Science Meeting, APS/URSI 2021 - Proceedings. 2021 IEEE International Symposium on Antennas and Propagation and North American Radio Science Meeting, APS/URSI 2021 - Proceedings, Institute of Electrical and Electronics Engineers Inc., pp. 615-616, 2021 IEEE International Symposium on Antennas and Propagation and North American Radio Science Meeting, APS/URSI 2021, Singapore, Singapore, 12/4/21. https://doi.org/10.1109/APS/URSI47566.2021.9703839

Das NK. Deriving Maxwell's Equations from First Principles of Relativistic Charge Invariance and Space-Time Relations. In 2021 IEEE International Symposium on Antennas and Propagation and North American Radio Science Meeting, APS/URSI 2021 - Proceedings. Institute of Electrical and Electronics Engineers Inc. 2021. p. 615-616. (2021 IEEE International Symposium on Antennas and Propagation and North American Radio Science Meeting, APS/URSI 2021 - Proceedings). doi: 10.1109/APS/URSI47566.2021.9703839

Das, Nirod K. / Deriving Maxwell's Equations from First Principles of Relativistic Charge Invariance and Space-Time Relations. 2021 IEEE International Symposium on Antennas and Propagation and North American Radio Science Meeting, APS/URSI 2021 - Proceedings. Institute of Electrical and Electronics Engineers Inc., 2021. pp. 615-616 (2021 IEEE International Symposium on Antennas and Propagation and North American Radio Science Meeting, APS/URSI 2021 - Proceedings).

@inproceedings{0b27954c31d14128b0c8ec440289b5f8,

title = "Deriving Maxwell's Equations from First Principles of Relativistic Charge Invariance and Space-Time Relations",

abstract = "The paper introduces a simple, rigorous approach to derive Maxwell's equations from first principles, based on an invariant form of the Gauss' law using only basic space-time transformation relations of special relativity. More advanced concepts of relativistic mechanics, such as transformation of mass, momentum and force, are not necessary in this development, resulting in a simple theory. The new derivation is of fundamental theoretical significance in electromagnetic theory, making Maxwell's equations less mysterious to comprehend, and would fill an educational need to introduce the modern theory of special relativity to derive electromagnetic theory from the first principles. The approach would be suitable for a senior (even junior) undergraduate or an introductory graduate engineering student, depending on the level of depth and rigor. ",

author = "Das, {Nirod K.}",

note = "Publisher Copyright: {\textcopyright} 2021 IEEE.; 2021 IEEE International Symposium on Antennas and Propagation and North American Radio Science Meeting, APS/URSI 2021 ; Conference date: 04-12-2021 Through 10-12-2021",

year = "2021",

doi = "10.1109/APS/URSI47566.2021.9703839",

language = "English (US)",

series = "2021 IEEE International Symposium on Antennas and Propagation and North American Radio Science Meeting, APS/URSI 2021 - Proceedings",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

pages = "615--616",

booktitle = "2021 IEEE International Symposium on Antennas and Propagation and North American Radio Science Meeting, APS/URSI 2021 - Proceedings",

}

TY - GEN

T1 - Deriving Maxwell's Equations from First Principles of Relativistic Charge Invariance and Space-Time Relations

AU - Das, Nirod K.

PY - 2021

Y1 - 2021

N2 - The paper introduces a simple, rigorous approach to derive Maxwell's equations from first principles, based on an invariant form of the Gauss' law using only basic space-time transformation relations of special relativity. More advanced concepts of relativistic mechanics, such as transformation of mass, momentum and force, are not necessary in this development, resulting in a simple theory. The new derivation is of fundamental theoretical significance in electromagnetic theory, making Maxwell's equations less mysterious to comprehend, and would fill an educational need to introduce the modern theory of special relativity to derive electromagnetic theory from the first principles. The approach would be suitable for a senior (even junior) undergraduate or an introductory graduate engineering student, depending on the level of depth and rigor.

AB - The paper introduces a simple, rigorous approach to derive Maxwell's equations from first principles, based on an invariant form of the Gauss' law using only basic space-time transformation relations of special relativity. More advanced concepts of relativistic mechanics, such as transformation of mass, momentum and force, are not necessary in this development, resulting in a simple theory. The new derivation is of fundamental theoretical significance in electromagnetic theory, making Maxwell's equations less mysterious to comprehend, and would fill an educational need to introduce the modern theory of special relativity to derive electromagnetic theory from the first principles. The approach would be suitable for a senior (even junior) undergraduate or an introductory graduate engineering student, depending on the level of depth and rigor.

UR - http://www.scopus.com/inward/record.url?scp=85126839666&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85126839666&partnerID=8YFLogxK

U2 - 10.1109/APS/URSI47566.2021.9703839

DO - 10.1109/APS/URSI47566.2021.9703839

M3 - Conference contribution

AN - SCOPUS:85126839666

T3 - 2021 IEEE International Symposium on Antennas and Propagation and North American Radio Science Meeting, APS/URSI 2021 - Proceedings

SP - 615

EP - 616

BT - 2021 IEEE International Symposium on Antennas and Propagation and North American Radio Science Meeting, APS/URSI 2021 - Proceedings

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 2021 IEEE International Symposium on Antennas and Propagation and North American Radio Science Meeting, APS/URSI 2021

Y2 - 4 December 2021 through 10 December 2021

ER -

Deriving Maxwell's Equations from First Principles of Relativistic Charge Invariance and Space-Time Relations

Abstract

Publication series

Conference

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this