Message from @fuguer
Discord ID: 638308589068484618
very true
and not the real thing
i see what you mean
well yes, we can never prove we have the final model
i think we might be close honestly. QM is fantastically good the only flaw is its not background independent like GR
the final model is the universe itself.
Nothing we can invent can explain the real model, because it would be made up of parts of the real model
we need a model for QM where spacetime is emergent instead of baked in
whats M ?
you can't make it more simple without cutting corners and generalising.
the thing is QM is ridiculously simple
and it works everywhere but black holes
M for Mexican
To understand QM you need nothing more than basic linear algebra, basic calculus, and abstract algebra
yeah but i think qm is a general idea, it doesn't account for every single action at every point in time... i understand that sentence i just made can be broken apart easily though .lol
but theres always deeper layers
can you explain what you mean by that
it can explain almost everything, it just cant predict all outcomes
basically we need better resolution at smaller scales to really see what's happening. qm is predictive, but not an exact model of reality.
the biggest problem is QM treats time and space as absolute, when we know theyre not
we dont need better resolution.... QM is an exact model of reality or very close
We don't really go smaller anymore. We get more abstract to account for different cases and observations.
yeah VERY close.
JQM
the fuzziness of quantum predictions is a consequence of our inability to measure exact quantum states
and the reason we cant is because there's no operator for them
das tru
an operator is a hermitian matrix you can multiply the wavefunction by to obtain a measurement
das rite
hermitian is a fancy way of saying symmetric matrix when the matrixes are complex valued
tru
yes.
W = wavefunction, P = position operator. WxP = observed position of particle
uhuh
The reason we have uncertainty principle is because matrixes dont always commute
meaning that W x P x M != W x M x P (M = momentum operator)
What is the result of a quantum calculation?
WPM != WMP
Like what kind of thing do you get?
a quantum calculation is just multipying complex valued matrices