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.

scholarly journals Między geniuszem, rewolucją i matematyką

2021 ◽  
Vol 16 (3) ◽  
pp. 59-67
Author(s):  
Łukasz Mścisławski
Keyword(s):  
Quantum Theory ◽  
Special Relativity ◽  
20Th Century ◽  
Relativity Theory ◽  
Scientific Theories ◽  
Old Quantum Theory ◽  
Special Relativity Theory ◽  
The Revolution

The book written by Wojciech Sady is an interesting and inspiring attempt to reconstruct the mechanism of the revolution that took place in physics at the beginning of the 20th century. As part of the attempts to characterize the process of the emergence of special relativity theory and the old quantum theory, author also raises the issue of the role of genius and imagination in the process of searching for new scientific theories. The work is based on rich factual material, however, has several weaknesses and — as it seems — several places that would not require greater precision. This work aims to identify these points.

Passage from Einsteinian to Galilean Relativity and Clock Synchrony

1991 ◽  
Vol 46 (3) ◽  
pp. 256-258 ◽  
Author(s):  
S. K. Ghosal ◽  
K. K. Nandi ◽  
Papia Chakraborty
Keyword(s):  
Special Relativity ◽  
Relativity Theory ◽  
General Belief ◽  
Small Velocity ◽  
Galilean Relativity ◽  
Distant Simultaneity ◽  
Symmetry Transformations ◽  
Special Relativity Theory ◽  
Velocity Approximation

AbstractThere is a general belief that under small velocity approximation. Special Relativity goes over into Galilean Relativity. Should this be interpreted exclusively in terms of the kinematical symmetry transformations (Lorentz vs. Galilei) a misconception could easily arise that would stem from overlooking the role of conventionality ingredients of Special Relativity Theory. It is observed that the small velocity approximation cannot alter the convention of distant simultaneity. In order to exemplify this point further, the Lorentz transformations are critically compared, under the same approximation, with two other space time transformations, one of which represents an Einstein world with Galilean synchrony whereas the other describes a Galilean world with Einsteinian synchrony

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