scholarly journals MATHEMATICAL MODELS IN THEORETICAL PHYSICS

Metaphysics ◽  
2020 ◽  
pp. 64-68
Author(s):  
M. L Fil’chenkov ◽  
Yu. P Laptev
Keyword(s):  
Quantum Theory ◽  
Mathematical Models ◽  
Relativity Theory ◽  
Theoretical Physics

Quantum theory and relativity theory as well as possible reconciliation have been analyzed from the viewpoint of mathematical models being used in them, experimental affirmation, interpretations and their association with dualistic paradigms.

Langevin's influence on relativity theories

2020 ◽  
Vol 33 (4) ◽  
pp. 380-386
Author(s):  
Douglas A. Staley
Keyword(s):  
Thought Experiment ◽  
Relativity Theory ◽  
Theoretical Physics ◽  
Theory Of Relativity ◽  
Speed Test ◽  
Starting Position ◽  
The Past ◽  
Eclipse Observations ◽  
Stop Watch ◽  
Light Beams

A century ago, Paul Langevin [C. R. 173, 831 (1921)], through his influence, convinced the scientific community that Einstein's theories of relativity were correct and could explain the Sagnac effect. A simple note in Comptes Rendus was all it took to silence many prominent skeptical scientists. The relativity skeptics had pointed to Sagnac's experiment [C. R. 157, 1410 (1913)] with the interference of counter rotating light beams as proof that the speed of light was not the same in both directions, contrary to the key postulate in Einstein's theory. Langevin showed that the result was also explained by relativity. The rest is history, and relativity has remained a center piece of theoretical physics ever since. Langevin had been captivated by solar eclipse observations of a shifted star pattern near the sun as reported by Eddington [Report on the Relativity Theory of Gravitation (Fleetway Press, Ltd., London, 1920)]. This was taken as proof positive for Einstein's General Theory of Relativity. The case of a light beam split into two beams, which propagate in opposite directions around a circuit, has an analog in a simple thought experiment—a speed test for runners. Two runners can be timed on a running track with the runners going around the track in opposite directions. Two stop watches will display the time for each runner's return to the starting position. The arithmetic difference in time shown on each stop watch will provide the differences in speed between the two runners. If the two speeds are the same, the time difference will be zero. It would not make any sense for one of the stop watches to measure a negative time, that is, time moving into the past. In fact, the idea is absurd! However, Langevin did just that, assigned the time for light to travel in one direction as positive while the time for the light to traverse in the opposite direction as negative, moving into the past! By so doing, Langevin reproduced Sagnac's expression and declared that relativity explains Sagnac's experiment. Langevin was wrong!

Address of the President Sir Andrew Huxley, O.M. at the Anniversary Meeting, 30 November 1984

1985 ◽  
Vol 397 (1813) ◽  
pp. 183-196
Keyword(s):  
Stellar Dynamics ◽  
Stellar Structure ◽  
Relativity Theory ◽  
Theoretical Physics ◽  
Structure Theory ◽  
Field Equations ◽  
Subsequent Work ◽  
Dwarf Stars ◽  
The Stability ◽  
Chandrasekhar Limit

The Copley Medal is awarded to Professor Subrahmanyan Chandrasekhar, F. R. S., in recognition of his distinguished work in theoretical physics, including stellar structure, theory of radiation, hydrodynamic stability and relativity. Professor Chandrasekhar has been a major figure in astrophysical sciences since the 1930s. His earliest work, on dwarf stars, led to the concept of the Chandrasekhar limit of stability, which later proved to be a central concept in the origin of the natural elements. He subsequently worked on stellar dynamics and the processes of energy transfer through gaseous bodies. The latter work was followed by a detailed and intensive study of convection in buoyant, rotating and conducting systems which has been fundamental to subsequent work in the field. He also studied the stability of rotating fluid masses. His latest work concerns general relativity theory and solutions of the Einstein field equations, in particular singularities and black holes, where he has shown the importance of these solutions and elucidated their mathematical properties.

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 A contribution to modern ideas on the quantum theory

1927 ◽  
Vol 115 (770) ◽  
pp. 208-214
Keyword(s):  
Quantum Theory ◽  
Kinetic Energy ◽  
Line Element ◽  
Natural Extension ◽  
Space Time ◽  
Relativity Theory ◽  
Unit Mass ◽  
The World ◽  
Free Particles ◽  
Theory Of Gravitation

The relativity theory of gravitation indicates that space-time is a four dimensional continuum in which the line element is measured by the equation ( ds ) 2 = g mn dx m dx n , (1) the notation being that generally adopted. The world-lines or natural tracks of free particles in this space are geodesics. From (1) we have g mn dx m /ds . dx n /ds = 1, (2) the quantity on the left being an expression corresponding to the kinetic energy of ordinary dynamics for a particle of unit mass. This correspondence is readily appreciated if it be noted that dx m /ds is the natural extension of the velocity, dx m /dt .

Address of the President Sir Andrew Huxley, O. M. at the Anniversary Meeting, 30 November 1984

1985 ◽  
Vol 223 (1233) ◽  
pp. 403-416 ◽  
Keyword(s):  
Stellar Dynamics ◽  
Stellar Structure ◽  
Relativity Theory ◽  
Theoretical Physics ◽  
Structure Theory ◽  
Field Equations ◽  
Subsequent Work ◽  
Dwarf Stars ◽  
The Stability ◽  
Chandrasekhar Limit

The Copley Medal is awarded to Professor Subrahmanyan Chandrasekhar, F. R. S., in recognition of his distinguished work in theoretical physics, including stellar structure, theory of radiation, hydrodynamic stability and relativity. Professor Chandrasekhar has been a major figure in astrophysical sciences since the 1930s. His earliest work, on dwarf stars, led to the concept of the Chandrasekhar limit of stability, which later proved to be a central concept in the origin of the natural elements. He subsequently worked on stellar dynamics and the processes of energy transfer through gaseous bodies. The latter work was followed by a detailed and intensive study of convection in buoyant, rotating and conducting systems which has been fundamental to subsequent work in the field. He also studied the stability of rotating fluid masses. His latest work concerns general relativity theory and solutions of the Einstein field equations, in particular singularities and black holes, where he has shown the importance of these solutions and elucidated their mathematical properties.

scholarly journals An Urgent Need for “G-d’s Physics” New 21st Century Paradigm’s Empirical Validation

2020 ◽  
Vol 3 (2) ◽  
Keyword(s):  
Field Theory ◽  
Massive Particle ◽  
Big Bang ◽  
Relativity Theory ◽  
Theoretical Physics ◽  
Unified Field Theory ◽  
Moral Choice ◽  
Paradigmatic Shift ◽  
Unified Field ◽  
Physical Universe

Note: Dr. Bentovish (Bentwich) is seeking scientific collaboration and validation of this New ‘G-d’s Physics’ (Computational Unified Field Theory) Paradigm’s Empirical “Critical Predictions” involving precise Astronomical/Cosmological Measurements, as well as time-sensitive Accelerators validations. The evolution of Science alternates between phases of a “Standard Scientific Paradigm” and unique “Paradigmatic Shift” phase/s. The current state of Theoretical Physics represents a ‘Paradigmatic-Shift’ from the Old ‘Material-Causal’ Paradigm of Relativity Theory (RT) & Quantum Mechanics (QM) to the New ‘G-d’s Physics’ (e.g., ‘Computational Unified Field Theory’, CUFT) due to the apparent theoretical inconsistency between RT & QM and the inability to account for the accelerated rate of the universe’s expansion (e.g., through the “dark-matter” and “dark-energy” purely hypothetical concepts assumed to comprise 95% of all mass/energy in the universe!?) The principle differences between the New ‘G-d’s Physics’ (G-DP) Paradigm and the Old ‘Material-Causal’ Paradigm are explained, and unique “critical-predictions” of this New ‘G-DP’ Paradigm differentiating it from the Old ‘Material-Causal’ Paradigm are identified: a) A greater number of times that a relatively “more massive” particle (Muon) would be detected across a given series of extremely rapid (e.g.,“c2 /h”=1.36-50 sec’!) than a “less massive” (electron) particle would be detected. b) “Non-Continuous Leap” in the universe’s “Accelerated Rate of Expansion” (ARE) predicted at the Jewish “Rosh-Hashanna” (New Year) due to a “Collective Human Consciousness Focus” postulate of ‘G-DP’! It is paramount that Physicists, Cosmologists and Astronomers try to validate these two unique “critical-predictions” of the New Twenty-first Century ‘G-d’s Physics’ Paradigm which entirely revises our understanding of the origin- sustenance and evolution of the physical universe – indicating that it was not created by an initial ‘Big-Bang’ nuclear explosion, cannot be explained through mere relativistic or quantum physical interactions etc.’, but is rather being continuously computed- “dissolved” – recomputed- and evolved at the incredible rate of (“c2/h”=1.36-50 sec’!) by a singular higher-ordered ‘Universal Computational/ Consciousness Principle (UCP) towards an ultimate “Perfected State” Goal (“Geula”), and that Individual Human “Moral Choice/s” select one of multiple possible future/s (e.g., also comprising an integral part of this ‘Geula’ Goal.

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.

Einstein

Lightspeed ◽  
2019 ◽  
pp. 144-158
Author(s):  
John C. H. Spence
Keyword(s):  
Frame Of Reference ◽  
Relativity Theory ◽  
Theoretical Physics ◽  
Simple Explanation ◽  
Flowing Water ◽  
Theory Of Relativity ◽  
Speed Of Light ◽  
Nuclear Explosions ◽  
Absolute Frame ◽  
The Universe

The confused state of theoretical physics in 1900 and the great unresolved issues are summarized, one of which led to the birth of quantum mechanics, and the other to relativity. How it seemed impossible to reconcile Bradley’s measurements of the speed of light with Fresnel’s Aether drag hypothesis, which was well supported by Fizeau’s measurements in Paris of the speed of light in a moving medium (flowing water). Maxwell’s equations predicted a constant speed of light, suggesting an absolute frame of reference in the universe, but did not “transform” in the same way as Newton’s equations from one moving observer to another. How Einstein made sense of all these rival theories and experimental results with his unifying theory of relativity, based on two assumptions. His life and work is discussed, and a simple explanation given of his relativity theory. How the failure of this search for an absolute frame of reference in our universe led him inexorably to perhaps the most famous equation in physics E = mc2, giving the energy release from nuclear explosions and the stars.

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