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Answer To Paul R. Martin About Math Origin Of All Natural Laws.
Forum List  Follow Ups  Post Message  Back to Thread Topics  In Response To Posted by Alexander on June 28, 2001 20:04:01 UTC 
It is obvious that all laws come from mathematical symmetries. For example, lets consider shape of a body in symmetric 3D space. Let's assume that the body consists of many somehow interacting particles, that they are free to move (so shape can change), and that this mutual interaction of particles is completely symmetric in space (does not depend on location in space and on direction in space). This assumption is actually completely equivalent to the assumption that SPACE ITSELF is symmetric: NOTHING depends on position in this space nor on orientation in this space  all places and all directions in THIS space are equal. Of course, interaction between particles may depend on MUTUAL position between particles (it may be inverse square, or any other dependance  it does not matter), but this interaction should NOT depend on location in space or on direction in space. Othervise you can NOT call such space positionally or directionally symmetric.


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