Re: M Physics 21: a^2 - b^2 = (a-b)(a+b) if a & b are commutative; etc.

Posted by DickT on October 05, 2003 at 08:03:42:

In Reply to: M Physics 21: a^2 - b^2 = (a-b)(a+b) if a & b are commutative; etc. posted by kx21 on October 03, 2003 at 22:44:05:

Kx21,

Yes that formula requires both commutativity and the distributive law. But the development of Dirac's equation is done in classical relativity where those mathematical laws are valid. Only after the classical equation is obtained is it quantized by converting variables to states and operators. After quantisation, momentum no longer commutes with position, and energy no longer commutes with time.

Regards,
Dick

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• M Physics 21: Dirac's Equation is 'imperfect'... * A new & simple proof from the 'M' of Staircase & Waterfall * -- kx21 10/05/03 (3)
  • I Link: Dirac Equation in 3+1 dimensions -- kx21 10/05/03 (2)
    • Re: I Link: Dirac Equation in 3+1 dimensions -- CABrannen 10/06/03 (1)
      • M Physics 21: Topology of Matrix ~ Manifold of Geometry -- kx21 10/06/03 (0)

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