An extension of special relativity to accelerating frames and some of its philosophical implications

✍ Scribed by John Urani; George Gale

• Publisher: Springer Netherlands
• Year: 1982
• Tongue: English
• Weight: 787 KB
• Volume: 50
• Category: Article
• ISSN: 0039-7857
• DOI: 10.1007/bf00413887

✦ Synopsis

A rigorous extension of the full Lorentz group is found which is parameterized by interframe velocities v(t) and which reduces to Special Relativity for acceleration-free cases and to Galilean relativity for low velocity cases. Full group properties are exhibited. Four-momentum is defined and particle masses are shown to be invariants. Four-force is introduced and pseudoforces are shown to enter the equations of particle dynamics. Maxwell's equations are shown to take on pseudocurrent terms in accelerating frames. A four-vector Green function solution to the modified Maxwell equations is presented. Finally, a discussion is offered concerning philosophical questions such as the operational definition of time.