On the Concepts of Frame of Reference and Connection in Space-Time Bundles of Classical Mechanics.

2004 ◽  
Vol 17 (4) ◽  
pp. 526-535
Author(s):  
Stefano Pasquero
1991 ◽  
Vol 32 (7) ◽  
pp. 1788-1795 ◽  
Author(s):  
Daniel Zerzion ◽  
L. P. Horwitz ◽  
R. I. Arshansky

2014 ◽  
Vol 11 (10) ◽  
pp. 1450086 ◽  
Author(s):  
Horace W. Crater ◽  
Luca Lusanna

After a review of the existing theory of non-inertial frames and mathematical observers in Minkowski space-time we give the explicit expression of a family of such frames obtained from the inertial ones by means of point-dependent Lorentz transformations as suggested by the locality principle. These non-inertial frames have non-Euclidean 3-spaces and contain the differentially rotating ones in Euclidean 3-spaces as a subcase. Then we discuss how to replace mathematical accelerated observers with dynamical ones (their world-lines belong to interacting particles in an isolated system) and how to define Unruh–DeWitt detectors without using mathematical Rindler uniformly accelerated observers. Also some comments are done on the transition from relativistic classical mechanics to relativistic quantum mechanics in non-inertial frames.


1980 ◽  
Vol 22 (10) ◽  
pp. 2384-2386 ◽  
Author(s):  
R. K. Roy Choudhury ◽  
S. Roy

1981 ◽  
Vol 11 (9-10) ◽  
pp. 679-697 ◽  
Author(s):  
Ray E. Artz

2021 ◽  
Author(s):  
Andrew Kamal

Utilizing multiple theorems derived from and formulating the equation : Z = {∀Θ ∈ Z → ∃s ∈ P S ∧ ∃t ∈ T : Θ = (s, t)} and formulating the equation: X = O + Ĥ + (n(log)Φ Pd x ), as well as some mathematical constraints and numerous implications in Quantum Physics, Classical Mechanics, and Algorithmic Quantization, we come up with a framework for mathematically representing our universe. These series of individualized papers make up a huge part of a dissertation on the subject matter of Quantum Similarity. Everything including how we view time itself and the origin point for our universe is explained in theoretical details throughout these papers.


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