scholarly journals Recovering the Principle of Relativity from the Cosmic Fabric Model of Space

2018 ◽  
Vol 02 (04) ◽  
pp. 1850011 ◽  
Author(s):  
T. G. Tenev ◽  
M. F. Horstemeyer
Keyword(s):  
Reference Frames ◽  
Time Dilation ◽  
Length Scale ◽  
Lorentz Transformations ◽  
Detection Experiment ◽  
Quantum Theories ◽  
Principle Of Relativity ◽  
Length Contraction ◽  
The Continuum ◽  
Negative Outcome

We extend the descriptive power of the Cosmic Fabric model of space developed by Tenev and Horstemeyer [Int. J. Mod. Phys. D 27 (2018) 1850083] to include moving observers by demonstrating that all reference frames are phenomenologically equivalent with one another and transform between each other via the Lorentz transformations. Our approach is similar to that of Lorentz [Versl. Kon. Akad. Wetensch 1 (1892) 74], which was used to explain the negative outcome of the Michelson–Morley æther detection experiment [A. A. Michelson and E. W. Morley, Am. J. Sci. s3–34 (1887) 333], except that we deduce the notions of length contraction and time dilation from the postulates of the Cosmic Fabric model. Our result is valid for the continuum length scale at which, by definition, the cosmic fabric can be described mathematically as a continuum. Herein, we also discuss the length scale-dependent nature of the Cosmic Fabric model as a possible way to relate gravitational and quantum theories.

The Block Universe from Special Relativity

2018 ◽  
Author(s):  
Michael Silberstein ◽  
W.M. Stuckey ◽  
Timothy McDevitt
Keyword(s):  
Special Relativity ◽  
Time Dilation ◽  
Theoretical Physics ◽  
Philosophy Of Physics ◽  
Lorentz Transformations ◽  
The Past ◽  
Length Contraction ◽  
Foundations Of Physics ◽  
Main Thread ◽  
Block Universe

Before explaining how the God’s-eye view resolves the impasse of theoretical physics and foundations of physics created by the ant’s-eye view, the book presents a detailed argument for the block universe. Accordingly, the main thread of chapter 2 shows how the relativity of simultaneity resolves the paradoxes associated with time dilation and length contraction that result from special relativity. A short argument is then presented showing how the relativity of simultaneity implies a block universe, that is, the co-reality or co-existence of the past, present, and future. Philosophy of Physics for Chapter 2 provides a detailed argument for block universe, taking into account all counterarguments and assumptions of the abridged argument in the main thread. Foundational Physics for Chapter 2 shows how the second postulate of special relativity leads to time dilation and length contraction, and it contains the Lorentz transformations for the spacetime events used in the main thread.

scholarly journals Lorentz invariant mass and length scales

2019 ◽  
Vol 28 (04) ◽  
pp. 1950068 ◽  
Author(s):  
Pasquale Bosso ◽  
Saurya Das
Keyword(s):  
Quantum Gravity ◽  
Invariant Mass ◽  
Planck Scale ◽  
Gravitational Mass ◽  
Length Scale ◽  
Lorentz Transformations ◽  
Length Scales ◽  
Measurable Difference ◽  
Principle Of Relativity

We show that the standard Lorentz transformations admit an invariant mass (length) scale, such as the Planck scale. In other words, the frame independence of such a scale is built-in within those transformations, and one does not need to invoke the principle of relativity for their invariance. This automatically ensures the frame-independence of the spectrum of geometrical operators in quantum gravity. Furthermore, we show that the above predicts a small but measurable difference between the inertial and gravitational mass of any object, regardless of its size or whether it is elementary or composite.

scholarly journals Time Dilation and the Equivalence of Inertial Frames

2021 ◽  
Author(s):  
Chandru Iyer ◽  
G. M. Prabhu
Keyword(s):  
Inertial Frame ◽  
Time Dilation ◽  
Three Dimensions ◽  
Relativity Theory ◽  
One Dimension ◽  
Dimensional Manifold ◽  
Principle Of Relativity ◽  
Inertial Frames ◽  
Ontological Concept ◽  
The Continuum

Abstract It is well known that simultaneity within an inertial frame is defined in relativity theory by a convention or definition. This definition leads to different simultaneities across inertial frames and the well-known principle of relativity of simultaneity. The lack of a universal present implies the existence of past, present and future as a collection of events on a four dimensional manifold or continuum wherein three dimensions are space like and one dimension is time like. However, such a continuum precludes the possibility of evolution of future from the present as all events exist ‘forever’ so to speak on the continuum with the tenses past, present and future merely being perceptions of different inertial frames. Such a far-reaching ontological concept, created by a mere convention, is yet to gain full acceptance. In this paper, we present arguments in favour of an absolute present, which means simultaneous events are simultaneous in all inertial frames, and subscribe to evolution of future from the present.

scholarly journals EXAMINING THE STUDENTS’ UNDERSTANDING LEVEL TOWARDS THE CONCEPTS OF SPECIAL THEORY OF RELATIVITY

2017 ◽  
Vol 75 (3) ◽  
pp. 263-269
Author(s):  
Özgür Özcan
Keyword(s):  
Reference Frames ◽  
Special Theory ◽  
Alternative Conceptions ◽  
Theory Of Relativity ◽  
Special Theory Of Relativity ◽  
Structured Interviews ◽  
Analysis Process ◽  
Length Contraction ◽  
Time Dilatation ◽  
Core Concepts

Special theory of relativity is one of the difficult subjects of physics to be understood by the students. The current research designed as a qualitative research aim to determine the pre-service physics teachers’ understanding level and the alternative conceptions about three core concepts of special theory of relativity, such as time dilatation, length contraction and reference frames. The data were collected through semi structured interviews and were analyzed by using content analysis. At the end of the analysis process the understanding level of the students was determined to be “complete understanding”, “incomplete understanding” and “misunderstanding”. In order to achieve this, the students’ conceptual frameworks based on the operational definitions made by the students were determined firstly. The findings obtained in this research indicate that high school teachers as well as university instructors should take special care with some points in the teaching of the subjects related with special theory of relativity. This research might be useful to other studies to be done in the future, especially for investigating the students’ mental models related to special theory of relativity. Key words: Length contraction, reference frames, special relativity, time dilatation, understanding level.

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.

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