M Physics 21: SR's E= SQRT(p^2c^2+ m^2c^4) is an ill-defined function, with more formal Mathematical proof

Posted by kx21 on May 07, 2003 at 19:47:34:

In Reply to: M Physics 21: SR's E= SQRT(p^2c^2+ m^2c^4) is an ill-defined function mathematically & physically, with proof ***GR's Curved Spacetime in SR's Black Hole - 'X' Particle*** posted by kx21 on May 07, 2003 at 16:49:12:

(Extracted from http://superstringtheory.com/forum/philboard/messages16/82.html Posted by kx21 on August 19, 2002 at 00:53:30: with some refinement)

***
* M Physics 21
***

That SR's Equation

1) E = sqrt( p^2c^2 + m^2c^4) is a discrete function-
E=f(m, p)) &

2) the Equation is not a well defined function in the eye of Mathematics...

Given SR:-

E = sqrt( p^2c^2 + m^2c^4)

iff

E=mc^2 (m > 0 & p = 0) and

E=pc (m = 0 & p > 0).

Let E = f(m, p), where

f(m,p)

=mc^2 (m > 0 & p = 0)

=pc (m = 0 & p > 0)

= '?' ( m > 0 & p > 0)

What is '?':- The 'Black Hole' in SR's Space.

This completes the Proof of both 1) & 2).

Please click to sense the Surprise of Einstein's Relativity...

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Follow Ups: (Reload page to see most recent)

• KX21 can't do even the simplest math -- DickT 5/08/03 (5)
  • M Physics 21: 'DickT's Physics- X paricle ill defined because p frame dependent' ensured that SR's E= SQRT(p^2c^2+ m^2c^4) is an ill-defined function *** a Surprise Finding *** -- kx21 5/09/03 (0)
  • M Physics Link: The Scent of WMC in SR's E= SQRT(p^2c^2+ m^2c^4) -- kx21 5/08/03 (1)
    • M Physics 21 Link- E Mail to the Cosmos:- Millennium Eureka & Breaking News- E = mc^2 is undefined logically / mathematically and physically & the Burst of SR's Bubble ( Dated 24 Apr 2002 ) -- kx21 5/08/03 (0)
  • M Physics 21: MATH 123 for SRians -- kx21 5/08/03 (1)
    • I Link: Ask Dr. Math - Proof that 1 + 1 = 2 -- kx21 5/08/03 (0)

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