Article View: sci.physics.particle
Article #84Re: ABIAN DERIVATION OF E = Mc^2
From: Jim Carr
Date: Tue, 12 May 1998 00:00
Date: Tue, 12 May 1998 00:00
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3194 bytes
... relativity newsgroup added with followups there ...
abian@iastate.edu (Alexander Abian) writes:
>
>I will once more derive below E = Mc^2 from Lorentz equation via
>High School algebra while mentioning and emphasizing my explanatory
>insight.
The whole of your "derivation" is your question at the end:
>But then what could be more
>insightful, more intelligent, more reasonable than to consider
>Mc^2 as expressing the total energy of the system at velocity v and
>to consider Mo c^2 as expressing the total energy of the system at
>rest and hence to consider M c^2 as the general expression of the total
>energy of the system and denote it by E.
The answer is, a derivation that shows that the rest mass increases
when a body absorbs electromagnetic energy. That is the derivation
Einstein does to establish E = mc^2 (where my m is your Mo).
>I will go step by step.
>
> Assuming that we believe in the truthfulness of the Lorentz formula:
>
> (1) M = Mo (1 - (v^2/c^2))^(-1/2)
What is your citation for this? Lorentz used two different
relativistic masses, as I pointed out elsewhere. This is the
transverse mass.
>NOW THE WHOLE SUBTLETY OF NY REASONING IS IN THE OBSERVATION THAT
>
> Mc^2 - Mo c^2 = 1/2 Mo v^2 + .......
>
>says that due to acquiring velocity v the total Energy of the
>system has acquired the "kinetic type" energy which is equal to
>the difference of Mc^2 and Mo c^2.
Nothing subtle, or innovative, there. It is all in Einstein's
popular treatment of relativity, titled "Relativity".
>I repeat that assuming Lorentz equation M = Mo (1 - (v^2/c^2))^(-1/2)
>the derivation of E = Mc^2 (with my abovementioned insight) amounts
>to multiplying both sides of M = Mo (1 - (v^2/c^2))^(-1/2) by c^2
>and absolutely nothing else.
Right. In particular, there is no derivation at all to explain the
relation of this to the total energy of a particle.
--
James A. Carr <jac@scri.fsu.edu> | Commercial e-mail is _NOT_
http://www.scri.fsu.edu/~jac/ | desired to this or any address
Supercomputer Computations Res. Inst. | that resolves to my account
Florida State, Tallahassee FL 32306 | for any reason at any time.
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X-Google-Language: ENGLISH,ASCII-7-bit X-Google-Thread: 106465,5954cc3bd1b18660 X-Google-Attributes: gid106465,public X-Google-Thread: f6c41,5954cc3bd1b18660 X-Google-Attributes: gidf6c41,public X-Google-Thread: f74ae,e7726ef4aee732b6 X-Google-Attributes: gidf74ae,public X-Google-Thread: f871d,5954cc3bd1b18660 X-Google-Attributes: gidf871d,public X-Google-Thread: 10f545,e7726ef4aee732b6 X-Google-Attributes: gid10f545,public From: jac@ibms48.scri.fsu.edu (Jim Carr) Subject: Re: ABIAN DERIVATION OF E = Mc^2 Date: 1998/05/12 Message-ID: <6jacds$2cr$1@news.fsu.edu> X-Deja-AN: 352668490 References: <6j48ql$er1$1@news.iastate.edu> Followup-To: sci.physics.relativity Organization: Supercomputer Computations Research Institute Newsgroups: sci.physics.particle,sci.physics.electromagnetic,gac.physics.astronomy,sci.astro,sci.physics.relativity