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A gauge symmetry is a mathematical symmetry over a manifold of objects.

Canonical variables

• Energy and time
• Momentum and position
• Angular momentum and orientation
• Voltage*charge and time -- find these

For voltages -- the arbitrariness of ground (electrical) at any point in a circuit is the space for a gauge symmetry.

For energy/mass equivalence the zero-point energy is arbitrary, analogous to electrical ground.

The commutator between canonical variables is the kronecker delta. This serves as the definition for canonical variable. Ancheta Wis 07:20, 6 Apr 2005 (UTC)

This page is unreadable and generally poor. Better to just cite "gauge theory" and leave it at that. — Preceding unsigned comment added by Stevesimon2 ( talk • contribs) 16:01, 24 July 2011 (UTC) reply