3 ms·
I have heard this too and still feel that there's more to this that is critically missed. >> For that, I'd need you to accept as an axiom (unprovable truth) th
by alok-g 1y ago
I have heard this too and still feel that there's more to this that is critically missed.
>> For that, I'd need you to accept as an axiom (unprovable truth) that the following principle is true: ΔpΔx is roughly equal (or greater) to some constant, we'll call it H.
As far as I know, Heisenberg's principle isn't exactly an axiom. It can largely be derived!
A waveform in time and its Fourier transform have such a relationship, which is entirely mathematical. More confined a time waveform is, more spread out the frequency spectrum is, and vice versa.
Now de Broglie principle linked momentum of a particle to its frequency! That makes the trick. So far, in Newtonian mechanics, momentum just related to position via derivative of position, i.e., velocity. Both were time waveforms.
But with de Broglie principal, momentum (also?) links to frequency domain, while the position remains in time domain. Now the Schrodinger's equation yields the said relation between position and momentum.
What I'll write next fits better in another comment box, so will do that.
(Edit:) Wrote here: https://news.ycombinator.com/item?id=43819506 https://news.ycombinator.com/item?id=43819506