Conformal transformations and kinematical relativity

1953 ◽  
Vol 49 (1) ◽  
pp. 90-96 ◽  
Author(s):  
D. E. Littlewood
Keyword(s):  
Lorentz Transformation ◽  
Relative Velocity ◽  
General System ◽  
Conformal Transformations ◽  
The Einstein Formula

The Einstein relative-velocity formula. Milne (3) has remarked that in kinematical relativity, whereas the Lorentz transformation is valid in t-time but fails in τ-time, the Einstein relative-velocity formula is valid both in t-time and τ-time, thus implying the validity of the latter in a more general system. It was thought that some interest might be attracted to a description of the most general system under which the Einstein formula holds.

scholarly journals Some studies on Lorentz transformation matrix in non-cartesian co-ordinate system

2019 ◽  
Vol 1 (2) ◽  
pp. 58
Author(s):  
Mukul Chandra Das ◽  
Rampada Misra
Keyword(s):  
Lorentz Transformation ◽  
Relative Velocity ◽  
Reference Frames ◽  
Transformation Matrix ◽  
Ordinate Axis ◽  
Cartesian System ◽  
The Matrix

The Lorentz matrices for transformation of co-ordinates in Cartesian system are presented for the cases when the relative velocity between two reference frames is along X , Y and Z axes. The general form of the matrix for transformation of co-ordinates from unprimed to primed frame has been deduced in case of Cartesian co-ordinate system with the help of the above matrices. This matrix has not been transformed to the cases of cylindrical and spherical polar co-ordinates due to the fact that the calculations are cumbersome and lengthy. Hence, considering the relative velocity between two frames along a co-ordinate axis the transformation matrix has been found out for cylindrical and spherical co-ordinates.

scholarly journals Pinpointing a disastrous limitation of Special Relativity and Proposing a new explanation for Light Speed’s constancy

2021 ◽  
Author(s):  
SEBASTIN ASOKAN
Keyword(s):  
Lorentz Transformation ◽  
Relative Velocity ◽  
Special Theory ◽  
Theory Of Relativity ◽  
Special Theory Of Relativity ◽  
Slowing Down ◽  
Straight Line ◽  
Inertial Frames ◽  
Light Signals ◽  
The Universe

Abstract This paper pinpoints a severe infirmity of the Lorentz Transformation in the Special Theory of Relativity. Even if it were true, its ambit is very much limited. Out of infinite events happening in the universe, it covers only the events of detecting light signals at the spatial points lying on a straight line in the direction of the relative velocity between the two inertial frames. This paper points out that the slowing down of moving clocks is not a prediction of Lorentz Transformation and hints at the possibility of attributing the observed slowing down of fast-moving clocks to the Relativistic Variation of Mass with Velocity. This paper concludes that from the fact that the same Reality is perceived differently by the observers in different inertial frames, we can draw a straightforward explanation for the constancy of light's speed in all inertial frames without any need for bringing in narrow-scoped and unrealistic Lorentz Transformation.

scholarly journals Lorentz Transformation in Super System and in Super System of Photon

2014 ◽  
Vol 38 ◽  
pp. 8-14
Author(s):  
Mukul Chandra Das ◽  
Rampada Misra
Keyword(s):  
Complex System ◽  
Lorentz Transformation ◽  
Relative Velocity ◽  
Inertial System ◽  
Linear Motion ◽  
Velocity Of Light ◽  
Work First

Lorentz transformation considers that relative velocity of the frame of references in inertialsystem is less than the velocity of light. If it be such that a frame is moving with velocity same as thatof light with respect to a frame of observer then, Lorentz transformation in it will not be same as donein inertial system. Again photon is not only a particle or wave but it is a complex system due to thefact that it possesses spin and linear motion simultaneously. So, it will have some complexcharacteristics. In this work first, trial would be made to find out the process of Lorentztransformation in between two frames having relative velocity same as that of light and then, thisconcept, would be applied in the system of photon.

scholarly journals Einstein's special relativity beyond the speed of light

2012 ◽  
Vol 468 (2148) ◽  
pp. 4174-4192 ◽  
Author(s):  
James M. Hill ◽  
Barry J. Cox
Keyword(s):  
Special Relativity ◽  
Lorentz Transformation ◽  
Relative Velocity ◽  
Special Theory ◽  
Mathematical Framework ◽  
Theory Of Relativity ◽  
Speed Of Light ◽  
Inertial Frames ◽  
Controversial Topic ◽  
Energy Equations

We propose here two new transformations between inertial frames that apply for relative velocities greater than the speed of light, and that are complementary to the Lorentz transformation, giving rise to the Einstein special theory of relativity that applies to relative velocities less than the speed of light. The new transformations arise from the same mathematical framework as the Lorentz transformation, displaying singular behaviour when the relative velocity approaches the speed of light and generating the same addition law for velocities, but, most importantly, do not involve the need to introduce imaginary masses or complicated physics to provide well-defined expressions. Making use of the dependence on relative velocity of the Lorentz transformation, the paper provides an elementary derivation of the new transformations between inertial frames for relative velocities v in excess of the speed of light c , and further we suggest two possible criteria from which one might infer one set of transformations as physically more likely than the other. If the energy–momentum equations are to be invariant under the new transformations, then the mass and energy are given, respectively, by the formulae and where denotes the limiting momentum for infinite relative velocity. If, however, the requirement of invariance is removed, then we may propose new mass and energy equations, and an example having finite non-zero mass in the limit of infinite relative velocity is given. In this highly controversial topic, our particular purpose is not to enter into the merits of existing theories, but rather to present a succinct and carefully reasoned account of a new aspect of Einstein's theory of special relativity, which properly allows for faster than light motion.

Rapid Freezing of Freeze-Etch Specimens

1980 ◽  
Vol 38 ◽  
pp. 752-755
Author(s):  
A. Elgsaeter ◽  
T. Espevik ◽  
G. Kopstad
Keyword(s):  
Low Temperature ◽  
Metal Surface ◽  
Relative Velocity ◽  
Thermal Contact ◽  
High Rate ◽  
Rapid Freezing ◽  
Temperature Decrease ◽  
Freeze Etching

The importance of a high rate of temperature decrease (“rapid freezing”) when freezing specimens for freeze-etching has long been recognized1. The two basic methods for achieving rapid freezing are: 1) dropping the specimen onto a metal surface at low temperature, 2) bringing the specimen instantaneously into thermal contact with a liquid at low temperature and subsequently maintaining a high relative velocity between the liquid and the specimen. Over the last couple of years the first method has received strong renewed interest, particularily as the result of a series of important studies by Heuser and coworkers 2,3. In this paper we will compare these two freezing methods theoretically and experimentally.

Improving XGBoost with Imagination Sampling

2020 ◽  
Vol 2 (1) ◽  
pp. 3-6
Author(s):  
Eric Holloway
Keyword(s):  
Machine Learning ◽  
General System ◽  
Learning Models ◽  
Starting Point ◽  
Machine Learning Models

Imagination Sampling is the usage of a person as an oracle for generating or improving machine learning models. Previous work demonstrated a general system for using Imagination Sampling for obtaining multibox models. Here, the possibility of importing such models as the starting point for further automatic enhancement is explored.

Importance of the Intersection of Library and Information Sciences with Systems Theory

2017 ◽  
Vol 1 (1) ◽  
Author(s):  
Hannah Lee
Keyword(s):  
System Theory ◽  
General System ◽  
General System Theory ◽  
Von Bertalanffy ◽  
Meta Level ◽  
Professional Field ◽  
The Subject ◽  
Critical Insight ◽  
Insight Into ◽  
Information Sciences

This paper is the attempt to show how system theory could provide critical insight into the transdisciplinary field of library and information sciences (LIS). It begins with a discussion on the categorization of library and information sciences as an academic and professional field (or rather, the lack of evidence on the subject) and what is exactly meant by system theory, drawing upon the general system theory established by Ludwig von Bertalanffy. The main conversation of this paper focuses on the inadequacies of current meta-level discussions of LIS and the benefits of general system theory (particularly when considering the exponential rapidity in which information travels) with LIS.

Sign in / Sign up

Export Citation Format

Share Document