Special Relativity Research Articles

Light-light scattering in Very Special Relativity Quantum Electrodynamics and cosmic anisotropies

We consider scattering of light by light in Very Special Relativity (VSR) Quantum Electrodynamics (QED) with a non-zero photon mass. In order to preserve gauge invariance and Sim(2) symmetry we made use of a recently introduced infrared regularization of VSR theories. Additionally, we show that all one loop diagrams with any number of photon external legs and zero fermion legs reduce to the standard QED result with the effective electron mass, as required by unitarity. It follows that the Euler-Heisenberg Lagrangian is the same as in QED. The total cross section of scattering of light by light exhibits tiny anisotropies that could be detected at cosmological scales. In particular, they should be looked at the Cosmic Microwave Background (CMB) Radiation for low photon frequencies.

Symmetric twin paradox for free-falling frames: Argument against the relativistic time dilation?

The twin paradox, a classical puzzle in Special Relativity (SR), is typically resolved by acknowledging the asymmetry introduced by the acceleration of one twin's frame, associated with a rocket's motion through space. A similar paradox arises without any accelerated system, involving three or more inertial systems. This is commonly resolved by employing the relativistic concepts of clock synchronization and simultaneity. Here, we reformulate the paradox for two free-falling systems, where the twins traverse identical circular orbits in opposite directions around a central mass with a spherically symmetric gravitational field. This redefined version of the paradox eliminates asymmetry inherent in the original problem. Since both frames are free-falling, they can be viewed as locally inertial according to Einstein's Equivalence Principle. Additionally, no synchronization with clocks in other frames is needed. We explore a potential resolution to the paradox and highlight that there may be a misinterpretation of the Lorentz transformation in SR.

Time and Metrology

The recourse to Quantum Mechanics for the definition of the International System of Units has been the trigger of significant progress. In the first part of the paper, we briefly recall the definitions of units now in use for the basic quantities. We summarize the levels of precision available today within the framework of these definitions. Time, whether we are aware of it or not, is a very special physical quantity. We therefore expose the extended use that could be made of the expression of physical quantities by means of time, like what is already practiced for the masses, expressed by means of energies. We detail a little more the case of the electrical quantities voltage and resistance which, without being basic quantities, benefit from new approaches thanks to two quantum phenomena: the Josephson effect, and the Quantum Hall Effect. But time is not an absolute. The next part of the paper exposes the corresponding teachings brought by Special Relativity on the one hand, and General Relativity on the other hand. Finally, the perspectives of the field are approached under the aspect of the metrological repercussions. Indeed, the technologies applicable to the measurement of time lead to performances that can be considered extraordinary in absolute terms, and in any case superior in relative to anything that can be achieved for other physical quantities. In conclusion, we examine the challenge that may represent the achievement of ever-increasing metrological performance for all physical quantities, and for time in particular, and the perspectives opened up for research in the domain by fields of knowledge not yet covered.

Special Relativity, Mass, and Energy; E=mc2

The purpose of this paper to provide a proof of  using a derivation completely consistent with Special Relativity. We base our proof on the calculation of the relativistic kinetic energy, K, and the invariance of the momentum 4-vector in Minkowski space. This proof provides a useful pedagogical method for teaching the momentum 4-vector through an excellent example to undergraduate physics students.

Comment on “tracking rule” and generalization of special relativity

In a recent article in this journal (Canadian Journal of Physics 102, 43 (2024)), Alexander L. Kholmetskii, Oleg V. Missevitch, and Tolga Yarman criticized our views on the tracking rule and issued some inaccurate statements related to them. We clarify those statements explicating their content and analyze the meaning of the tracking rule as a valid principle to generalize special relativity.

Gravitational time dilation in a high school lesson

Abstract In almost all countries, the Ministry of Public Education has introduced the topics of special and general relativity into the high school curriculum. For example, in Italy the teaching of so-called modern physics (quantum mechanics and relativity) was introduced in the last year of high school. The students are approximately 18 years old and, although the arguments are addressed in an introductory and qualitative way, they are also a topic for the final exam. Einstein’s theory fascinates young students, but it is not always easy to explain the revolutionary effects it predicts. For this reason, we have organized a series of in-depth lessons trying to derive the space-time distortions in a way suitable for the young age of the students. In this frontline we summarize a derivation, suitable for high school pupils, regarding gravitational time dilation.

Three-Dimensional Lorentz-Invariant Velocities

Lorentz invariance underlies special relativity, and the energy formula and relative velocity formula are well known to be invariant under a Lorentz transformation. Here, we determine the functional forms in terms of four arbitrary functions for those three dimensional velocity fields that are automatically invariant under the most general fully three-dimensional Lorentz transformation. For general three-dimensional motion, using rectangular Cartesian coordinates (x,y,z), we determine the first-order partial differential equations for the three velocity components u(x,y,z,t), v(x,y,z,t) and w(x,y,z,t) in the x−, y− and z−directions respectively. These partial differential equations and the associated partial differential relations connecting energy and momentum are fully compatible with the Lorentz-invariant energy–momentum relations and appear not to have been given previously in the literature. We determine the spatial and temporal dependence of the functional forms for those three-dimensional velocity fields that are automatically invariant under three-dimensional Lorentz transformations. An interesting special case gives rise to families of particle paths for which the magnitude of the velocity is the speed of light. This is indicative of the abundant possibilities existing in the “fast lane”.

On the Aether Dynamics, Twin Paradox, and Ultimate Relativity of Solar Flares

In our previous work, Theory of Everything, we addressed the longstanding twin paradox of special relativity by introducing the concept of Aether force dynamics, F(v). This was achieved through the recognition that Aether force is cumulative, encompassing the sum of all force increments required to accelerate a massive body to velocity v. Similarly, the time dilation experienced by twin 2, the moving twin, is a cumulative effect, involving all time dilation increments accrued during their journey. This contrasts with the Lorentz contraction and mass dependence, which are instantaneous effects. Our approach successfully unified special and general relativity, extending the latter's focus on gravitational accelerations to incorporate any form of acceleration, thus leading to what we term the Ultimate Theory of Relativity. We have also applied this framework to describe dynamic processes in solar flares, drawing an analogy to the cinema problem, which involves maximizing the angle subtended by an observer to a screen. As in the twin paradox, the analysis necessitates the consideration of potential infinities, achieved by dividing finite quantities by zero or zero by zero. Remarkably, this led to a simultaneous application of Ultimate Relativity to both the cinema problem and solar flare dynamics, revealing that acceleration approaching infinity, a=1, is central to understanding these phenomena.

Theory of Time – 2024 R (Universal Theory for Everything)

“Theory of Time” is a research and analysis report on ‘All kind of Transformation processes’ to find out the reason for changes, this is a Universal Theory & applicable for all natural phenomena. I had found some systematic/ logical/ relational imbalance among the principles of AC Transformer, Ohm’s law, series parallel circuits and law of conservation of energy. I did systematic analysis and research on above said combination principles and identified / formulated/ organized a common transformation mechanism for all and is called ‘Universal Transformation System’(UTS). Here, relative components of all kind of transformation systems are determined, organized systematically for better understanding on relations and also all physical phenomena mechanisms are interpreted through the lens of UTS & found the reformed results are meeting with the general/ natural principles of all kind of transformation systems. I did deeper and wider analysis on electro-magnetic circuits to understand the structure/ mechanism of the transformation system. Law of conservation of energy, AC Transformer’s principles, Newton’s laws and Ohm’s law are base for this theory. By doing relational analysis I could derive Equivalent mechanical transformation principles from Electricity Transformation principles and Mechanical Resistance () to Transformation (RMech.) equation has been successfully formulated. Finally Obtained / reformed results are compared with our practical science and found that the derived principles are meeting with the natural principles of system and its transformation processes. Further, explaining about “how the time is running?”; “what are all the relative components of the time?”; Whether is it possible to stop the time running process? etc. This ©2024 is going to be the final/ completed report on ‘Theory of Time’… in the name of ‘Theory of Nature’. I have finished my research and analysis on all kind of transformation systems. This is updated one, here, I have added some new analysis on secret behind the Black Hole, exact mechanism of Gyroscopic Effects, Donut formation of matter, about human beings, ‘Relation between Centripetal and Centrifugal controls’, importance of Newton’s Absolute time, galactic control on solar system, gravity generator, fusion generator, mechanism of Lagrange Points, there are two differences only in all, review on General Relativity & Special Relativity, constancy of light speed under UTS, optimized free body diagrams, Thermodynamics, ‘𝒎𝒗𝒓’ under UTS, atomic formation structures under gravity & electromagnetism, soul, Law & Justice, tug of war, all mechanisms, you &me

The Particle of Haag's Local Quantum Physics: A Critical Assessment.

Rudolf Haag's Local Quantum Physics (LQP) is an alternative framework to conventional relativistic quantum field theory for combining special relativity and quantum theory based on first principles, making it of great interest for the purposes of conceptual analysis despite currently being relatively limited as a tool for making experimental predictions. In LQP, the elementary particles are defined as species of causal link between interaction events, together with which they comprise its most fundamental entities. This notion of particle has yet to be independently assessed as such. Here, it is captured via a set of propositions specifying particle characteristics and then compared to previous particle notions. Haag's particle differs decisively with respect to mechanical intuitions about particles by lacking, among other things, even an approximate independent space-time location. This notion is thus found to differ greatly even from those of relativistic quantum mechanics and quantum field theory, which have been applied to the known elementary particles.

Analysis of High School Students' Difficulties in Solving Special Relativity Problems

Analysis of High School Students' Difficulties in Solving Special Relativity Problems

DIFFERENCES IN FORMATIVE ASSESSMENT RESULTS OF BASIC PHYSICS 2 STUDENTS IN OFFLINE AND ONLINE LECTURES ON SPECIAL RELATIVITY THEORY MATERIAL

The research was motivated by the Galodo disaster that occurred in Tanah Datar district. This disaster has an impact on the implementation of basic physics 2 lectures at UIN Mahmud Yunus Batusangkar which must be carried out online using the Zoom application. The research was conducted on two different campuses, namely 2nd semester students at UIN Mahmud Yunus Batusangkar and UIN Imam Bonjol Padang. This study aims to determine whether there are differences in the results of formative assessments of students who conduct online and offline lectures by chatting with lecturers, teaching methods, and teaching media. This research was analyzed using a quantitative approach with a control group posttest only design. The instrument used is a formative question on special relativity material in essay form. The results of the study were analyzed using an independent sample t test which resulted in a 2 tailed sig value (0.269) > 0.05 which indicates that there is no difference in the results of students' basic physics formative assessment between students who conduct online and offline lectures on special relativity theory material. The average formative score of students is also not much different in both samples. The use of appropriate lecture methods, strategies, and media needs to be improved in basic physics 2 lectures.

Kink phenomena of the time-space fractional Sharma-Tasso-Olver (STO) equation

Abstract This paper aims to obtain exact solutions of solitary waves for the conformable fractional Sharma-Tasso-Olver (STO) equation which plays an important role in nuclear physics to describe the physical occurrences such as the fission and fusion processes. Solitary waves operate central parts in different areas of study such as electromagnetism, atomic quantum theory, as well as special relativity. By means of sub-ode approach with the aid of the modified fractional Riccati-Bernoulli equation, the exact forms of generalized solitary solution of the fractional (STO) equation are found and specified in hyperbolic, trigonometric, and rational functions. This makes the visualization of the fractional effects and the dynamic behaviors of these solutions in 3D and 2D help in establishing practicality for application of the results. The novel analytical results benefit general engineering and mathematical physics in demonstrating that the proposed employment of the given technique allows solving nonlinear problem analytically. These findings are significant for the progress of wave proceedings in the number of applications.

Searches for violation of Lorentz invariance in top quark pair production using dilepton events in 13 TeV proton-proton collisions

A search for violation of Lorentz invariance in the production of top quark pairs (tt‾) is presented. The measured normalized differential tt‾ production cross section, as a function of the sidereal time, is examined for potential modulations induced by Lorentz-invariance breaking operators in an effective field theory extension of the standard model (SM). The cross section is measured from collision events collected by the CMS detector at a center-of-mass-energy of 13 TeV, corresponding to an integrated luminosity of 77.8 fb−1, and containing one electron and one muon. The results are found to be compatible with zero, in agreement with the SM, and are used to place upper limits at 68% confidence level on the magnitude of the Lorentz-violating couplings ranging from 1–8×10−3. This is the first precision test of the isotropy in special relativity with top quarks at the LHC, restricting further the bounds on such couplings by up to two orders of magnitude with respect to previous searches conducted at the Tevatron.

From Electromagnetic Wave to Special Relativity: Insight into Modern Physics

From Electromagnetic Wave to Special Relativity: Insight into Modern Physics

New Solutions of Lorentz Transformation IV

This paper is the fourth part of a hypothesis originally based on the basic assumptions of Lorentz transformation and has various implications. In the first part of the hypothesis [1], I calculated the wave function from the general assumptions of the Lorentz transformation. This wave function describes spacetime deformations and entirely replaces the original Lorentz solution used in special relativity. Importantly, each new solution, for both time and space deformation, has two possible solutions that are equally probable. Therefore, I have used these equations for further calculations, which already have a quantum nature. In the second part of my hypothesis [1], I converted this equation into an electromagnetic one and used it to calculate interference and diffraction. Thus, the resulting equation is not based on complex functions, as in standard calculations. We can further investigate this equation, for example, in the context of electron levels in an atom, as interference and diffraction are phenomena related to Young's experiment, and the wave properties of electrons have been demonstrated. In the third part of my hypothesis [1], I applied the calculations to atomic relations and outlined possible solutions for atomic orbitals. This outline of the potential arrangement of energies in the atomic model arose from the fact that some molecules, such as CH4, have the shape of a Platonic solid tetrahedron, which I consider pivotal within the framework of the VSEPR theory.

EXPERIMENT TO DETECT THE ABSOLUTE VELOCITY OF EARTH IN THE UNIVERSE

A number of experiments have been carried out to measure the velocity of earth in the space but absolute velocity of earth could not be detected. One of the most famous Michelson and Morley experiment was conducted in the year 1887 to detect the motion of earth with reference to luminiferous aether a supposed medium permeating space that was thought to be the carrier of light waves but unexpected results were obtained. The experiment has given negative results, MMX type experiments have been repeated so many times with steadily increasing sensitivity from 1902 to 1930 and more recently in the year 2009 by optical resonator but all the experiments confirmed the negative results of MMX. Albert Einstein submitted his special theory of relativity in the year 1905 and stated that there is no medium like aether for propagation of light waves and there is no absolute velocity in the universe, all the motions are relative. Relative velocity of earth has been measured by various methods and observations such as stellar parallax, position of stars and planets, satellite laser ranging, GPS and CMB radiation. Second postulate of STR states that velocity of light is constant in all inertial frames of reference, there is no effect of motion of source of light or observer on the speed of light. As the velocity of light is a universal Constant hence any velocity with reference to speed of light will be absolute velocity. On the basis of second postulate of STR absolute velocity of earth in the universe can be determined by experiment based on the laser light beams. A laser beam may be directed on the fixed screen and movement of laser spot due to motion of earth may be observed. The displacement of laser spot with passage of time may be observed to determine the velocity of earth. In the present article it is explained how the velocity of earth may be detected by measuring displacement of laser spot. The displacement of laser spot from its normal position will determine the absolute velocity of earth in the universe.

Getting back in shape: Persistence, shape, and relativity

AbstractIn this paper, we will introduce a novel argument (the “Region Argument”) that objects do not have frame‐independent shapes in special relativity. The Region Argument lacks vulnerabilities present in David Chalmers' argument for that conclusion based on length contraction. We then examine how views on persistence interact with the Region Argument. We argue that this argument and standard four‐dimensionalist assumptions entail that nothing in a relativistic world has any shape, not even stages or the regions occupied by them. We also argue that endurantists have viable ways of preserving shape despite the Region Argument. The upshot of these arguments is that contrary to conventional wisdom, considerations about shape in relativity support endurantism rather than four‐dimensionalism. We conclude by examining the implications of our discussion for the debate over Edenic shapes, noting that endurantists have a satisfying response to skeptical arguments about Edenic shapes similar to the one they have against the Region Argument.

Seven Derivations of the Lorentz Transformations in Special Relativity are Seen to be Invalid

Lorentz introduced his transformations as mere proposals for the relations between the E and H fields of light as measured in two reference systems in relative motion [1]. He proffered no argument to justify them. Others have subsequently given their own arguments to derive them, particularly in the context of Special Relativity. Seven derivations of the Lorentz transformations (LT's) are examined in detail. It is seen that all of them are invalid. The Appendix discusses the matter of equations and transformations. It is seen that a transformation is of necessity an inequality.

Why and How Special Relativity Fails in the Second Spatial Dimension? An Introduction to the Preferred Frame Theory

Why and How Special Relativity Fails in the Second Spatial Dimension? An Introduction to the Preferred Frame Theory