Heisenberg uncertainty principle

See page: "On the probability interpretation of quantum mechanics" for a critical look at the probability interpretation.

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 gets back 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

• Sensors
• Precision

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• The nature and shape of atoms
• Covalent bond

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• Nonbonded forces
• Nonbonded interactions

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• Useful math

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Perhaps somewhat controversial takes on the probability interpretations here:

• On the particle wave duality
• On the probability interpretation of quantum mechanics

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.