On Mon, Feb 17, 2025 at 08:15:21AM -0500, John Clark wrote:
> On Sun, Feb 16, 2025 at 8:33 PM Brent Meeker <[email protected]> wrote:
> 
> 
>         >> There must be a fundamental reason why we can't make predictions
>         better than those allowed by HUP, and self-locating uncertainty is 
> that
>         reason.
> 
>    
>     >?? Most physicist think it's because conjugate operators don't commute. 
> 
> 
> That is true but of no help whatsoever in explaining what's actually going on.
> I want to know WHY momentum and position, and energy and time are conjugate
> operators, 

It has to do with Noether's theorem - the operator of a conserved
quantity is the derivative of the symmetry along which the quantity is
observed. Vic Stengar has a good explanation in his book
"Comprehensible Cosmos".


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