Time dilation and length contraction

2012 ◽  
pp. 211-235
Author(s):  
Ralph Baierlein
Keyword(s):  
Time Dilation ◽  
Length Contraction

scholarly journals Geometrical formulation of relativistic mechanics

2018 ◽  
Vol 15 (04) ◽  
pp. 1850062 ◽  
Author(s):  
Sumanto Chanda ◽  
Partha Guha
Keyword(s):  
Lorentz Transformation ◽  
Ad Hoc ◽  
Lagrange Equation ◽  
Equations Of Motion ◽  
Time Dilation ◽  
Gravitational Redshift ◽  
Hamiltonian Mechanics ◽  
Local Lorentz Transformation ◽  
Length Contraction ◽  
Geometrical Formulation

The relativistic Lagrangian in presence of potentials was formulated directly from the metric, with the classical Lagrangian shown embedded within it. Using it we formulated covariant equations of motion, a deformed Euler–Lagrange equation, and relativistic Hamiltonian mechanics. We also formulate a modified local Lorentz transformation, such that the metric at a point is invariant only under the transformation defined at that point, and derive the formulae for time-dilation, length contraction, and gravitational redshift. Then we compare our formulation under non-relativistic approximations to the conventional ad hoc formulation, and we briefly analyze the relativistic Liénard oscillator and the spacetime it implies.

scholarly journals Relativity Tied to Repulsion Gravity

2021 ◽  
pp. 1-3
Author(s):  
Joseph E Brierly ◽  
Keyword(s):  
Special Theory ◽  
Time Dilation ◽  
Theory Of Relativity ◽  
General Theory Of Relativity ◽  
Special Theory Of Relativity ◽  
Attraction Force ◽  
Dilation Equation ◽  
Length Contraction ◽  
Incompleteness Theorems ◽  
Simple Equations

This article refutes the Time Dilation Equation and Length Contraction that are derived in the Special Theory of Relativity. The conclusion reached in this article is that Time Dilation and Length Contraction cannot be characterized by simple equations due to repulsion gravity. The conclusion follows from gravity being a natural force of repulsion rather than the assumption that gravity is an attraction force. That gravity is a repulsion force follows from the Sir Arthur Eddington experiment designed to prove that gravity affects light. Few looked at that experiment as anything other than proving Einstein’s General Theory of Relativity that suggested gravity would affect light. The experiment went beyond what most imagined it accomplished. It surely verified that gravity affects light. But it did more than that. The experiment showed that gravity is a force of repulsion and not attraction as most believed. That gravity is repulsion and not an attraction force indicates that the relativity time dilation equation derived in the Special Theory of Relativity is intractably undecidable likely subject to Godels Incompleteness theorems

On the Experimental Proofs of Relativistic Length Contraction and Time Dilation

1998 ◽  
Vol 53 (12) ◽  
pp. 977-982 ◽  
Author(s):  
Oleg D. Jefimenko
Keyword(s):  
Experimental Evidence ◽  
Special Relativity ◽  
Time Dilation ◽  
Relativity Theory ◽  
Length Contraction ◽  
Recent Advances ◽  
Basic Equations ◽  
Special Relativity Theory ◽  
Relativistic Length

Abstract Recent advances in the theory of electromagnetic retardation have made it possible to derive the basic equations of the special relativity theory and to duplicate the most important practical results of this theory without using the concepts of relativistic length contraction and time dilation. Thus the reality of these concepts appears to be questionable. It is imperative therefore to reexamine the experimental evidence supporting these concepts. The calculations presented in this paper show that some of the experiments allegedly proving the reality of length contraction and time dilation can be unambiguously interpreted as manifestations of velocity-dependent dynamical interactions taking place within the systems involved in the experiments rather than as manifestations of length contraction or time dilation.

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