The relativistic gamma factor from Newtonian mechanics and Einstein's equivalence of mass and energy

2016 ◽  
Vol 84 (5) ◽  
pp. 384-387 ◽  
Author(s):  
Daniel J. Cross
Keyword(s):  
Newtonian Mechanics ◽  
Gamma Factor

A Relativistic Newtonian Mechanics Predicts with Precision the Results of Recent Neutrino-Velocity Experiments

2014 ◽  
Vol 6 (1) ◽  
pp. 1032-1035 ◽  
Author(s):  
Ramzi Suleiman
Keyword(s):  
Null Hypothesis ◽  
Experimental Studies ◽  
Theoretical Models ◽  
Newtonian Mechanics ◽  
Speed Of Light ◽  
Symmetry Principle ◽  
Proposed Model ◽  
Significant Difference ◽  
The One ◽  
Complete Collapse

The research on quasi-luminal neutrinos has sparked several experimental studies for testing the "speed of light limit" hypothesis. Until today, the overall evidence favors the "null" hypothesis, stating that there is no significant difference between the observed velocities of light and neutrinos. Despite numerous theoretical models proposed to explain the neutrinos behavior, no attempt has been undertaken to predict the experimentally produced results. This paper presents a simple novel extension of Newton's mechanics to the domain of relativistic velocities. For a typical neutrino-velocity experiment, the proposed model is utilized to derive a general expression for . Comparison of the model's prediction with results of six neutrino-velocity experiments, conducted by five collaborations, reveals that the model predicts all the reported results with striking accuracy. Because in the proposed model, the direction of the neutrino flight matters, the model's impressive success in accounting for all the tested data, indicates a complete collapse of the Lorentz symmetry principle in situation involving quasi-luminal particles, moving in two opposite directions. This conclusion is support by previous findings, showing that an identical Sagnac effect to the one documented for radial motion, occurs also in linear motion.

IRVING FISHER AND THE MECHANISTIC CHARACTER OF TWENTIETH CENTURY ACCOUNTING THOUGHT

1995 ◽  
Vol 22 (2) ◽  
pp. 43-83 ◽  
Author(s):  
Tom Mouck
Keyword(s):  
Economic Theory ◽  
Twentieth Century ◽  
World View ◽  
Neoclassical Economic ◽  
Neoclassical Economics ◽  
Newtonian Mechanics ◽  
Neoclassical Economic Theory

This paper provides an overview of the influence of Newtonian mechanics on the development of neoclassical economic theory and highlights Fisher's role in the popularization of the resulting mechanical conception of economics. The paper also portrays Fisher's The Nature of Capital and Income — a work which has been aptly characterized as the “first economic theory of accounting” — as the first move toward the colonization of accounting by economics. The result of Fisher's influence has been a paradigmatic linkage between the Newtonian world view of science, neoclassical economics, and mainstream academic accounting thought. The picture that emerges from this linkage is then used as a backdrop against which the emerging challenges to economics-based accounting thought are highlighted.

scholarly journals Dynamic Equilibrium Equations in Unified Mechanics Theory

2021 ◽  
Vol 2 (1) ◽  
pp. 63-80
Author(s):  
Noushad Bin Jamal Bin Jamal M ◽  
Hsiao Wei Lee ◽  
Chebolu Lakshmana Rao ◽  
Cemal Basaran
Keyword(s):  
Energy Loss ◽  
Entropy Generation ◽  
Equilibrium Equation ◽  
Dynamic Equilibrium ◽  
Free Vibration Analysis ◽  
Newtonian Mechanics ◽  
Equilibrium Equations ◽  
Time Coordinate ◽  
Proposed Model ◽  
Laws Of Thermodynamics

Traditionally dynamic analysis is done using Newton’s universal laws of the equation of motion. According to the laws of Newtonian mechanics, the x, y, z, space-time coordinate system does not include a term for energy loss, an empirical damping term “C” is used in the dynamic equilibrium equation. Energy loss in any system is governed by the laws of thermodynamics. Unified Mechanics Theory (UMT) unifies the universal laws of motion of Newton and the laws of thermodynamics at ab-initio level. As a result, the energy loss [entropy generation] is automatically included in the laws of the Unified Mechanics Theory (UMT). Using unified mechanics theory, the dynamic equilibrium equation is derived and presented. One-dimensional free vibration analysis with frictional dissipation is used to compare the results of the proposed model with that of a Newtonian mechanics equation. For the proposed entropy generation equation in the system, the trend of predictions is comparable with the reported experimental results and Newtonian mechanics-based predictions.

scholarly journals SPIN LIGHT OF NEUTRINO IN GRAVITATIONAL FIELDS

2005 ◽  
Vol 14 (02) ◽  
pp. 309-321 ◽  
Author(s):  
MAXIM DVORNIKOV ◽  
ALEXANDER GRIGORIEV ◽  
ALEXANDER STUDENIKIN
Keyword(s):  
Black Hole ◽  
Gamma Rays ◽  
Dense Matter ◽  
Total Power ◽  
Fourth Power ◽  
Gravitational Fields ◽  
Quasiclassical Theory ◽  
Relativistic Jet ◽  
First Time ◽  
Gamma Factor

We develop the quasiclassical theory of a massive neutrino spin evolution in the presence of gravitational fields, and the corresponding probability of the neutrino spin oscillations in gravitational fields is derived for the first time. On this basis we also predict a new mechanism for electromagnetic radiation by a neutrino moving in the vicinity of gravitating objects (the "spin light of neutrino," SLν, in gravitational fields). It is shown that the total power of this radiation is proportional to the neutrino gamma factor to the fourth power, and the emitted photon energy, for the case of an ultra relativistic neutrino, spans up to gamma-rays. We investigate the SLν caused by both gravitational and electromagnetic fields, also accounting for effects of arbitrary moving and polarized matter, in various astrophysical environments. In particular, we discuss the SLν emitted by a neutrino moving in the vicinity of a rotating neutron star, black hole surrounded by dense matter, as well as by a neutrino propagating in the relativistic jet from a quasar.

Covariant Physics

2021 ◽  
Author(s):  
Moataz H. Emam
Keyword(s):  
Point Of View ◽  
Theoretical Physics ◽  
Newtonian Mechanics ◽  
Theory Of Relativity ◽  
College Physics ◽  
Introductory Courses ◽  
Tensor Calculus ◽  
Research Papers ◽  
Intended Reader ◽  
Theory Of Fields

This book is an introduction to the modern methods of the general theory of relativity, tensor calculus, space time geometry, the classical theory of fields, and a variety of theoretical physics oriented topics rarely discussed at the level of the intended reader (mid-college physics major). It does so from the point of view of the so-called principle of covariance; a symmetry that underlies most of physics, including such familiar branches as Newtonian mechanics and electricity and magnetism. The book is written from a minimalist perspective, providing the reader with only the most basic of notions; just enough to be able to read, and hopefully comprehend, modern research papers on these subjects. In addition, it provides a (hopefully short) preparation for the student to be able to conduct research in a variety of topics in theoretical physics; with particular emphasis on physics in curved spacetime backgrounds. The hope is that students with a minimal mathematical background in calculus and only some introductory courses in physics may be able to study this book and benefit from it.

All classical predictions of general relativity from special relativistic Hamiltonian dynamics

2018 ◽  
Vol 33 (29) ◽  
pp. 1850169
Author(s):  
J. H. Field
Keyword(s):  
General Relativity ◽  
Euclidean Space ◽  
Hamiltonian Dynamics ◽  
Gravitational Redshift ◽  
Newtonian Mechanics ◽  
Light Deflection ◽  
Schwarzschild Metric ◽  
Related Literature ◽  
General Relativistic ◽  
Relativistic Hamiltonian Dynamics

Previous special relativistic calculations of gravitational redshift, light deflection and Shapiro delay are extended to include perigee advance. The three classical, order G, post-Newtonian predictions of general relativity as well as general relativistic light-speed-variation are therefore shown to be also consequences of special relativistic Newtonian mechanics in Euclidean space. The calculations are compared to general relativistic ones based on the Schwarzschild metric equation, and related literature is critically reviewed.

Instrumentalism

2015 ◽  
Author(s):  
P. Kyle Stanford
Keyword(s):  
Newtonian Mechanics ◽  
Scientific Theories ◽  
Restricted Class ◽  
Scientific Realist ◽  
Scientific Domain ◽  
The World

This chapter seeks to explore and develop the proposal that even our best scientific theories are not (as the scientific realist would have it) accurate descriptions of how things stand in otherwise inaccessible domains of nature but are instead simply powerful conceptual tools or instruments for engaging practically with the world around us. It describes a number of persistent challenges facing any attempt to apply the American Pragmatists’ global conception of all ideas, beliefs, theories, and cognitions quite generally as such tools or instruments to only a restricted class or category of such entities (such as our best scientific theories) instead. It then seeks to overcome these challenges by regarding scientific instrumentalism as simply applying the scientific realist’s own attitude toward a theory like Newtonian mechanics to even the most empirically successful and instrumentally powerful theory we have in any given scientific domain.

Sign in / Sign up

Export Citation Format

Share Document