Analysis of Correct Use of Time Transformation in Physics
The paper deals with the analysis of mathematically correct use of time derivative in coordinate systems with time transformation. It combines the use of time derivative in different areas of physics with the results of this analysis. The results are used to verify the most well-known theories using time transformation. A general limit of the use of time transformation in physics is formulated and proved.
The analysis is supplemented by specific examples which illustrate the consequences of using a nonlinear (curved) time transformation. They show the formation of a resistor in the LC circuit as a result of time transformation, energy generation or loss, tilting of high rock walls, change in distance between the Earth's centre and the Earth's surface, twisting of Earth's axis, astronomical paradoxes, unknown acceleration properties. The internal consistency of both theories of relativity is also analysed, including the equivalence principle.
The result of the analysis shows that the use of a nonlinear (curved) time transformation is a dangerous tool of contemporary physics that decomposes its internal consistency. This also applies to the time transformations used in both theories of relativity.
(2) Einstein A., The Foundation of The General Theory of Relativity, The Principle of Relativity, A collection of original memoirs on the special and general theory of relativity by H.A.Lorentz, A.Einstein, H.Minkowski and H.Weyl, Dover Publications, Inc., ISBN: 486-60081-5, pp. 109-164
(3) Einstein A., On The Influence of Gravitation on The Propagation of Light, The Principle of Relativity, A collection of original memoirs on the special and general theory of relativity by H.A.Lorentz, A.Einstein, H.Minkowski and H.Weyl, Dover Publications, Inc., ISBN: 486-60081-5, pp. 97-108
(4) Briatore L., Leschiutta S., Evidence for the earth gravitational shift by direct atomic-time-scale comparison, Il Nuovo Cimento B., Volume 37, Issue 2, pp 219–231(1977)
(5) Time Dilation on Earth, Department of Physics and Astronomy, Georgia State University, http://hyperphysics.phy-astr.gsu.edu/hbase/Relativ/gratim.html#c5
(6) Section 3-1: The Definition of the Derivative, https://tutorial.math.lamar.edu/Classes/CalcI/DefnOfDerivative.aspx.
(7) Derivative, https://www.math.net/derivative
(8) Definition of Derivative, http://andymath.com/definition-of-derivative/
(9) Neumann L., Static Pendulum with Contactless 2D Sensor Measurements Opens the Question of Gravity Dynamics and Gravity Noise on Earth’s Surface, Physics Essays, 20, pp. 535-551 (2007)
(10) Rancourt L., Effect of light on gravitational attraction, Physics Essays, 24, 4, pp. 557-561 (2011)
(11) Rancourt L., Tattersall P. J., Further Experiments Demonstrating the Effect of Light on Gravitation, Applied Physics Research; Vol. 7, No. 4, pp. 4-13 (2015)
(12) Neumann L., Experimental verification of electromagnetic-gravity effect: Weighing light and heat, Physics Essays, 30, 2, pp.138-147 (2017)
(13) Neumann L., Gravity – state of the art: where is the border between experimentally proven knowledge and the unknown?, Physics Beyond Relativity, Prague, Czech Republic, October 18-21, 2019 - https://science21.cz/conference/
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