Między geniuszem, rewolucją i matematyką

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.

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

Journal of Function Spaces ◽

10.1155/2020/4984612 ◽

2020 ◽

Vol 2020 ◽

pp. 1-9 ◽

Cited By ~ 3

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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Passage from Einsteinian to Galilean Relativity and Clock Synchrony

Zeitschrift für Naturforschung A ◽

10.1515/zna-1991-0307 ◽

1991 ◽

Vol 46 (3) ◽

pp. 256-258 ◽

Cited By ~ 4

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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Subsequent and Subsidiary? Rethinking the Role of Applications in Establishing Quantum Mechanics

Historical Studies in the Natural Sciences ◽

10.1525/hsns.2015.45.5.641 ◽

2015 ◽

Vol 45 (5) ◽

pp. 641-702 ◽

Cited By ~ 10

Author(s):

Jeremiah James ◽

Christian Joas

Keyword(s):

Molecular Structure ◽

Quantum Mechanics ◽

Quantum Theory ◽

Classical Mechanics ◽

Theory Construction ◽

Science Pedagogy ◽

Old Quantum Theory ◽

The Common ◽

Complete Quantum

As part of an attempt to establish a new understanding of the earliest applications of quantum mechanics and their importance to the overall development of quantum theory, this paper reexamines the role of research on molecular structure in the transition from the so-called old quantum theory to quantum mechanics and in the two years immediately following this shift (1926–1928). We argue on two bases against the common tendency to marginalize the contribution of these researches. First, because these applications addressed issues of longstanding interest to physicists, which they hoped, if not expected, a complete quantum theory to address, and for which they had already developed methods under the old quantum theory that would remain valid under the new mechanics. Second, because generating these applications was one of, if not the, principal means by which physicists clarified the unity, generality, and physical meaning of quantum mechanics, thereby reworking the theory into its now commonly recognized form, as well as developing an understanding of the kinds of predictions it generated and the ways in which these differed from those of the earlier classical mechanics. More broadly, we hope with this article to provide a new viewpoint on the importance of problem solving to scientific research and theory construction, one that might complement recent work on its role in science pedagogy.

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