Variation of Mass with Velocity: A Theoretical and Mathematical Approach | Chapter 3 | Current Research Progress in Physical Science Vol. 3

Objectives: The origin of various equations involving variation of mass with velocity is discussed and a new exponential equation is derived. At lower velocities, this equation and the Lorentz equation both give the same results.

 

Background: The new theory of variability of the speed of light implies that the speed of light was higher in the early universe. It supports the exponential equation which allows superluminal velocity. The perception of an increase in mass with velocity has been increasingly refined by several scientists.

 

Methods: The various references right from the inception of the concept of variation of mass with velocity are discussed. The basic common point in various equations is that an invalid operation division by zero is involved. Initially, such an equation was initiated by Thomson, and used by following scientists. Thus aspects are theoretically discussed.

 

Findings: A newly derived equation is exponential in nature and is interpreted in view of existing experimental observations. It does not involve division by zero, hence never predicts that mass becomes infinite when the velocity of a body, . Lorentz has given an equation for transverse mass , where is an undetermined factor or coefficient differing from unity by the quantity of the order . Lorentz's equation (relativistic mass) is experimentally verified with reasonable accuracy up to velocity 0.75 c. Thus Lorentz's equation is confirmed in a limited region. In LHC, the protons have energy  and move with a velocity at about , at this velocity the relativistic mass of the proton must be experimentally measured and compared. Then it must be confirmed up to which extent Lorentz's equation is obeyed. In the future, higher velocities are expected thus experimental verification of equations may lead to interesting results. Further, this equation can be applied in early cosmology.

 

Applications/Improvements: The exponential equation is the first equation that provides an extension of the Lorentz equation in a conceptual and mathematical way. It stresses superluminal velocities at some stages of the formation of the universe. The exponential equation can be checked in experiments in LHC which involve velocities tending to that of light and other experiments.

 

Author(s) Details

Ajay Sharma

Fundamental Physics Society, His Mercy Enclave, Post Box 107 GPO Shimla - 171001, Himachal Pradesh, India.

 

Please see the book here:- https://doi.org/10.9734/bpi/crpps/v3/853 

Interaction between an Accelerated Mass in Straight Motion and a Hidden Energy Reservoir as a Strict Mathematical Consequence of Special Relativity: Scientific Explanation| Chapter 5 | New Frontiers in Physical Science Research Vol. 7

 The bulk of an accelerated bulk moving at relativistic speed was discovered by A. Einstein and H.A. Lorentz to believe whether the acceleration is completed activity in the direction of motion or in a transverse management. E. P. Epstein rejected this influence the “Annalen der Physik”; he rather supposed an additional force that turns up when the crowd is accelerated in the long direction. It is likely to demonstrate that the plan of an increased longitudinal bulk is based on a natural mathematical mistake. It equips that Epstein's hidden extra force should to remedy this problem so that prevent Special Relativity from being inside inconsistent. Given that the speed attained is relativistic, it performs the plurality of the total work absorbed by the affecting object and is therefore administrative of the majority of the increase in allure energy (=bulk). In other words: While the total force on the body wanted to maintain a loyal acceleration a0 is “(1-v²/c²)-1 ma0=m0(1-v²/c²)-3/2 a0”, the mechanics force needed to maintain that quickening amounts only to “ma0=m0(1-v²/c²)-½a0”. Therefore, the total energy of two objects that crash symmetrically and elastically is not continued during the accident, necessitating the vicinity of a hidden strength source. This result is habitual by calculations that use the idea of momenergy. In particle physics, the phenomena of a apparent loss of strength has already happened noted (mark experiment), but its belongings have gone ignored. Instead, a reason (reduced "strength of the centre of mass") has existed offered that is irregular and goes against the relativity standard.

Author(s) Details:

Andreas Trupp,
Fachhochschule Muenster (University of Applied Science), Germany.

Please see the link here: https://stm.bookpi.org/NFPSR-V7/article/view/9414