A linear algebraic derivation of Lorentz transformation from wave equations

Abstract

It is shown that arbitrary dimensional Lorentz transformation can be obtained from invariance of wave equations using mathematically rigorous, linear algebraic arguments.

Keywords:

• Space-time
• Lorentz transformation
• special relativity
• electromagnetic wave
• Maxwell equation
• wave equation

Notes

No potential conflict of interest was reported by the author.

Additional information

Funding

The present research was conducted by the research fund of Dankook University in 2015.