Just a quick question; Why does this Heisenberg incertitude, ΔEΔt Exists, if time is not considerate as an observable ?
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Great question. There's a wonderful answer on Stack Exchange I can direct you to.
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But not only in QM

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Very true!
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This is probably related to Noether's theorem.
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Més o menys, el teorema de Noether diu que tota simetria porta associada una llei de conservació, en particular la de la magnitud que genera la simetria. Però el tema de simetries i generadors és més fonamental.
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Qm has the most beautiful equations in my opinion.
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oh yes it is.... rock it hamiltonian!
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-anxiety kicks in-
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What is relativistically meaningfull t for a field ? A particle has a proper time. A field may be descirbed on an indexed sequence of spacelike surfaces but there are infinitely many such sequences.
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