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Qmechanic ♦
Qmechanic ♦
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Quantum Mechanics is $U(1)$ invariant, hence X$X$ is isotropic?

Since our fundamental laws are invariant under rotations. Hence, we say that spacetime isotropic.

Now Quantum Mechanics is invariant under (global) complex rotations ($U(1)$ transformations. Hence, we say that X$X$ is isotropic.

In other words, what is the correct analogous space X$X$ here and is "isotropic" the correct term used?

Quantum Mechanics is $U(1)$ invariant, hence X is isotropic?

Since our fundamental laws are invariant under rotations. Hence, we say that spacetime isotropic.

Now Quantum Mechanics is invariant under (global) complex rotations ($U(1)$ transformations. Hence, we say that X is isotropic.

In other words, what is the correct analogous space X here and is "isotropic" the correct term used?

Quantum Mechanics is $U(1)$ invariant, hence $X$ is isotropic?

Since our fundamental laws are invariant under rotations. Hence, we say that spacetime isotropic.

Now Quantum Mechanics is invariant under (global) complex rotations ($U(1)$ transformations. Hence, we say that $X$ is isotropic.

In other words, what is the correct analogous space $X$ here and is "isotropic" the correct term used?

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jak
jak
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Quantum Mechanics is $U(1)$ invariant, hence X is isotropic?

Since our fundamental laws are invariant under rotations. Hence, we say that spacetime isotropic.

Now Quantum Mechanics is invariant under (global) complex rotations ($U(1)$ transformations. Hence, we say that X is isotropic.

In other words, what is the correct analogous space X here and is "isotropic" the correct term used?