Heisenberg uncertainty principle: Difference between revisions
added image |
A principle of math not just physics |
||
| Line 8: | Line 8: | ||
and for the energy and strength of covalent bonds <br> | and for the energy and strength of covalent bonds <br> | ||
for just two very fundamental consequences. <br> | for just two very fundamental consequences. <br> | ||
== A principle of math not just physics == | |||
Interestingly the uncertaintly principle is not just a principle of physics but also a principle of math. <br> | |||
Taking the fourier transform of a gauss curve one rets a gauss curve in reciprocal space. <br> | |||
The smaller the gauss cuve in one space the bigger it gets in the other and vice versa. <br> | |||
Physics just attaches the physical unit of action to it. <br> | |||
And the see-saw can have more than two sides with <br> | |||
complete set of commuting observables. <br> | |||
== Related == | == Related == | ||
| Line 31: | Line 41: | ||
* https://en.wikipedia.org/wiki/Exchange_interaction | * https://en.wikipedia.org/wiki/Exchange_interaction | ||
* https://en.wikipedia.org/wiki/Complete_set_of_commuting_observables | * https://en.wikipedia.org/wiki/Complete_set_of_commuting_observables | ||
* https://en.wikipedia.org/wiki/Action_(physics) … not to confuse with entropy though there are strong links | |||
Looking more closely at one observable of a "complete set of commuting observables" <br> | Looking more closely at one observable of a "complete set of commuting observables" <br> | ||
then one or more of the others need to blur further out to compensate for that. <br> | then one or more of the others need to blur further out to compensate for that. <br> | ||
The minimal phase space volume of the Planck quantum cannot be further compressed. <br> | The minimal phase space volume of the Planck quantum cannot be further compressed. <br> | ||
Revision as of 16:14, 18 July 2026
There is plenty of information on the topic on the web. So just links for now.
It makes for the volume of atoms not collapsing down any further
and for the energy and strength of covalent bonds
for just two very fundamental consequences.
A principle of math not just physics
Interestingly the uncertaintly principle is not just a principle of physics but also a principle of math.
Taking the fourier transform of a gauss curve one rets a gauss curve in reciprocal space.
The smaller the gauss cuve in one space the bigger it gets in the other and vice versa.
Physics just attaches the physical unit of action to it.
And the see-saw can have more than two sides with
complete set of commuting observables.
Related
Perhaps somewhat controversial takes on the probability interpretations here:
External links
- https://en.wikipedia.org/wiki/Uncertainty_principle
- https://en.wikipedia.org/wiki/Exchange_interaction
- https://en.wikipedia.org/wiki/Complete_set_of_commuting_observables
- https://en.wikipedia.org/wiki/Action_(physics) … not to confuse with entropy though there are strong links
Looking more closely at one observable of a "complete set of commuting observables"
then one or more of the others need to blur further out to compensate for that.
The minimal phase space volume of the Planck quantum cannot be further compressed.