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== Example of circularity in "proofs" ==

== Example of circularity in "proofs" ==

The argument in some "proofs" is that although overall energy, kinetic plus potential, is conserved, the potential energy can manifest itself as an increase in the resting mass -- an assumption that implicitly redefines mass to comport with the conclusion sought.

The argument in some "proofs" is that although overall energy, kinetic plus potential, is conserved, the potential energy can manifest itself as an increase in the resting mass—an assumption that implicitly redefines mass to comport with the conclusion sought.

== Redefining mass to comport with the conclusion sought ==

== Redefining mass to comport with the conclusion sought ==

== A proof ==

== A proof ==

Proofs of the formula [[E=mc²]] abound in the scientific literature, in print and on the internet, though many of them are more complicated than they need to be, because they are proving it in a more wide-ranging and less focused context.  A good example may be found on pages 121-138 of ''Spacetime Physics'' by Edwin Taylor and John Wheeler (W. H. Freeman, 1966, ISBN 0-7167-0336-X).  An exposition on the internet may be found at Wikiversity<ref name="wvarticles">Five lectures at Wikiversity.  The 4^th one derives the formula:

Proofs of the formula [[E=mc²]] abound in the scientific literature, in print and on the internet, though many of them are more complicated than they need to be, because they are proving it in a more wide-ranging and less focused context.  A good example may be found on pages 121-138 of ''Spacetime Physics'' by Edwin Taylor and John Wheeler (W. H. Freeman, 1966, ISBN 0-7167-0336-X).  An exposition on the internet may be found at Wikiversity.<ref name="wvarticles">Five lectures at Wikiversity.  The 4th one derives the formula:

*[http://en.wikiversity.org/wiki/Special_relativity/space,_time,_and_the_Lorentz_transform Lecture 1]

*[http://en.wikiversity.org/wiki/Special_relativity/space,_time,_and_the_Lorentz_transform Lecture 1]

*[http://en.wikiversity.org/wiki/Special_relativity/momentum Lecture 2]

*[http://en.wikiversity.org/wiki/Special_relativity/momentum Lecture 2]

*[http://en.wikiversity.org/wiki/Special_relativity/energy Lecture 3]

*[http://en.wikiversity.org/wiki/Special_relativity/energy Lecture 3]

*[http://en.wikiversity.org/wiki/Special_relativity/E_%3D_mc%C2%B2 Lecture 4]

*[http://en.wikiversity.org/wiki/Special_relativity/E_%3D_mc%C2%B2 Lecture 4]

*[http://en.wikiversity.org/wiki/Special_relativity/spacetime_diagrams_and_vectors Lecture 5]</ref>.

*[http://en.wikiversity.org/wiki/Special_relativity/spacetime_diagrams_and_vectors Lecture 5]</ref>

== See also ==

== See also ==

{{reflist}}

{{reflist}}

[[category:Relativity]]

[[Category:Relativity]]