Foundations of Special Relativity Theory

2006 ◽  
pp. 35-44
Author(s):  
J. Ehlers
Keyword(s):  
Special Relativity ◽  
Relativity Theory ◽  
Special Relativity Theory

Non-Kinematicity of the Dilation-of-time Relation of Einstein for Time-intervals

2000 ◽  
Vol 55 (6-7) ◽  
pp. 563-569 ◽  
Author(s):  
Sidney Golden
Keyword(s):  
Special Relativity ◽  
Relative Velocity ◽  
Relativity Theory ◽  
Einstein Relation ◽  
Time Interval ◽  
Time Intervals ◽  
Light Pulses ◽  
Time Relation ◽  
Special Relativity Theory ◽  
Inertial Systems

Abstract Light-pulses that are reflected recurrently to one another by two kinematically equivalent dynamically identical inertial systems moving collinearly and irrotationally with uniform relative velocity generate sequences of contiguous time-intervals in both. By means of clocks stationed in the two systems, each time-interval is both measurable locally and calculable non-locally in accord with basic requirements of special relativity theory. Their ratio yields the velocity dependent dilation-of-time relation of Einstein, but an equivalent spatially dependent version of it is obtained as well, because the time-intervals involved are actually determined by the distances that exist between the systems when the reflections occur. As a result, the Einstein relation involves no time-rates of clocks that are actually affected kinematically by the systems containing them.

scholarly journals On New Unified Bounds for a Family of Functions via Fractional q-Calculus Theory

2020 ◽  
Vol 2020 ◽  
pp. 1-9 ◽  
Author(s):  
Li Xu ◽  
Yu-Ming Chu ◽  
Saima Rashid ◽  
A. A. El-Deeb ◽  
Kottakkaran Sooppy Nisar
Keyword(s):  
Quantum Theory ◽  
Special Relativity ◽  
Present Article ◽  
Time Scale ◽  
Relativity Theory ◽  
Positive Functions ◽  
Special Relativity Theory

The present article deals with the new estimates in q-calculus and fractional q-calculus on a time scale Tt0=0∪t:t=t0qn,n is a nonnegative integer, where t0∈ℝ and 0<q<1. The role of fractional time scale q-calculus can be found as one of the prominent techniques to generate some variants for a class of positive functions n n∈ℕ.Finally, our work will provide foundation and motivation for further investigation on time-fractional q-calculus systems that have an intriguing application in quantum theory and special relativity theory.

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