Relativity Science Calculator - Mass as a Variable Quantity .
In the future you will receive a little piece of software to bring up Relativity Science Calculator directly from within this web pageRelativity Science Calculator
rssxml

Google
 

relativistic mass vs. proper or rest mass


relativistic mass as a variable quantity

"But we must always be cognizant of the fact that the idealization that lies in the fiction of a rigid ( measuring ) body as a natural object might someday be shown to be unjustified or else justified only in relation to certain natural phenomena. General relativity has already shown the illegitimacy of this concept for spaces that are not small in the astronomical sense." - from "Non - Euclidean Geometry and Physics", 1925, by Albert Einstein ( 1879 - 1955 )


relativistic mass

The Problem

At velocities approaching a fractional but noticeable amount of the speed of light, relativistic mass vs. proper or rest mass,  it's incumbent to maintain both the law of conservation of mass as well as the law of conservation of momentum under conditions utilizing the law of additions of relativistic velocities.

§ Assume frames of reference for systems  relativistic mass vs. proper or rest mass,  relativistic mass vs. proper or rest mass, and  relativistic mass vs. proper or rest mass with the following stipulations:

relativistic mass vs. proper or rest mass  is stationary relative to  relativistic mass vs. proper or rest mass

relativistic mass vs. proper or rest mass  is moving away from  relativistic mass vs. proper or rest mass  with relative velocity  mass as a variable

mass as a variable quantity,  and that each is flying towards the other with a combined total relative velocity  Mass as a variable quantity  in  relativistic mass vs. proper or rest mass  which is wholly contained in  relativistic mass vs. proper or rest mass

§ Assume further that immediately after the collision both  mass as a variable  coalesce into one larger mass-particle,  coalesced mass  -  i.e.,  an inelastic collision.

Analysis:

relativistic mass vs. proper or rest mass

relativistic mass vs. proper or rest mass


[1] Einstein's Solution

Einstein devised a relativity mathematics such that mass is a variable quantity and is speed - dependent on velocity ( and hence ultimately on its energy content ) as follows:

§ Definitions:

relativistic mass vs. proper or rest mass

§ Law of Conservation of Mass:

relativistic mass vs. proper or rest mass

§ Law of Conservation of Momentum:

relativistic mass vs. proper or rest mass

§ 1st Derivation:

relativistic mass vs. proper or rest mass

Here we can observe that the conserved mass, coalesced mass,  is certainly not equal to the sum of rest masses  relativistic mass vs. proper or rest mass. That is,

proper mass

§ Final Mass Derivation for Dilation ( expansion ):

relativistic mass vs. proper or rest mass

proper mass

relativistic mass vs. proper or rest mass

Summary Meaning of Mass As A Variable

Remember this: if you stay with a body ( or particle ) of mass, called proper or rest mass rest mass, the amount of mass is constant! Common sense.

It is only when you are stationary and stand back, so to speak, and then measure the amount of mass a moving body ( or particle ) has, that you will both observe and hence measure different amounts of mass directly related to the velocity of the passing body of mass!!

Different observers moving at relatively different velocities to the passing body ( or particle ) of mass, will therefore observe and measure different amounts of mass relativistic mass vs. proper or rest mass.

Different velocities == differently observed and measured masses

The constancy of rest ( or proper ) mass relativistic mass vs. proper or rest mass is otherwise proven due to the "Invariance of the energy - momentum vector" which is another way of saying that the total energy of a system is always constant.

And, therefore, rest or proper mass is always a constant!

But, mass ( of body or particle ) in motion is always a speed - dependent variable!!

Directly dependent upon relative motion to an observer or observers, plural.

Question: what therefore exactly is 'mass'?

Dunno.

In fact, the entire physics world is awaiting the LHC - Large Hadron Collider - to eventually answer this question: what is 'mass' ??

Also, what makes 'gravity' ?

Ditto ... dunno.

Well, not exactly ... See: Einstein's "Principle of Equivalence" as between acceleration and gravity at 'Reinterpreting Galileo and Newton's Principle of Relativity'.

Again: the LHC will hopefully answer this profound physics and philosophical question during the next decade.

[1] Caveat:

The name 'Einstein' in the following passages of this web page essay is to be understood more generally as encompassing the mathematical works of Max Planck, especially as regards "relativistic mass" which Einstein himself avoided in favor of inertial or, equivalently, rest ( proper ) mass, as revealed down below in the Epilogue: Some Final Questions regarding what did Einstein attach to e=mc2? Please see: Epilogue: Some Final Questions at e=mc2 page

§ References:

  1. "Einstein's Theory of Relativity", by Max Born ( 1882 - 1970, born Jewish - German, converted to Lutheran, still considered Jewish by German Nazis, close and brilliant lifelong friend of Einstein while Extraordinarius Professor of theoretical physics at the University of Berlin, grandfather of Australian singer and actress Olivia Newton - John, awarded Nobel Prize in Physics in 1954 ), copyright © 1965, Dover Publications, Inc.

  2. "The Special Theory of Relativity", by David Bohm ( 1917 - 1992, born Jewish American, Manhattan Project, Israel's Technion ), a close Einstein colleague at Princeton University's Institute for Advanced Study, copyright © 1965, 1966 by Sarah Bohm.

relativistic mass vs. proper or rest mass

[ Mail this page to a friend ]



relativistic mass vs. proper or rest mass relativistic mass vs. proper or rest massrelativistic mass vs. proper or rest mass
Your ip address is: 54.225.20.73
This document was last modified on: (none)
Your browser is: CCBot/2.0 (http://commoncrawl.org/faq/)
Domains: relativitycalculator.com, relativityscience.com, relativitysciencecalculator.com, einsteinrelativityphysicstheory.com
Urls: https://www.relativitycalculator.com, http://www.relativityscience.com, http://www.relativitysciencecalculator.com, http://www.einsteinrelativityphysicstheory.com




relativistic mass vs. proper or rest mass

note: for a secure encrypted connection
type 'https' in the url address bar - i.e.,
https://www.relativitycalculator.com/






html sitemap   |   visual sitemap  |  shopping cart sitemap  |  shopping cart

.

.

.

.

.

.

.

.

.

.

.