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Shift Symmetry.

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Posted by Alexander on March 21, 2002 04:10:29 UTC

Take infinite line and shift it in some distance, say, 1m in the direction parallel to the line - nothing will change with the line, right? This is what is called "symmetry versus shift in space".

Symmetry can be continuous (line above does not care if you shift it 1 m or 1 cm), or descrete (crystal is invariant only of you shift it nd meters, where n is any integer, d is the crystal lattice period).

Invariance vs shifts in time, position and direction is what we call energy, momentum and angular momentum conservation.

For more details where natural laws come from, see http://www/

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