Duality / Complementarity / Dialectic
Duality / Complementarity / Dialectic
System notes
Noether's theorem (1918) proves that every continuous symmetry of the action corresponds to an exact conserved quantity; this correspondence is mathematical proof, not approximation or philosophy.
The uncertainty principle (position and momentum) is a structural feature of physical reality, not an instrument limitation.
Wave-particle duality is confirmed by laboratory experiments: measuring which slit a particle traverses destroys the interference pattern, and looking away restores it.
Conjugate variables (position and momentum, time and energy) are Fourier transforms of each other and represent the same quantity in orthogonal representations, not separate quantities.
Newton's third law expresses a physical duality where every action is inseparably paired with its reaction; you cannot have one without the other.
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