Degenerate matter: How reality deals with uncertainty

&gt; When the position probability distribution is made narrower, the momentum probability distribution becomes wider ... Note that this is not a limitation of measurement<p>I see this a lot, but what&#x27;s the reason we know it&#x27;s not the case?

In classical mechanics momentum is the derivative of position with respect to time. In quantum mechanics momentum is the gradient, i.e. the combination of the partial derivatives with respect to the three directions of space, of the wave function [1], i.e. the probability amplitude of the particle as a function of position.<p>In consequence, classically one can prepare a particle with any position and any momentum independently, i.e. one fixes the position and the time derivative of the position. Quantum mechanically fixing the position distribution also fixes the momentum distribution as the later is the derivative of the former with respect to space and therefore can not be specified independently. Similarly to the classical case one can also fix the time derivative of the wave function but that corresponds to the energy, not the momentum.<p>[1] In position space.

&gt; computer chips are a common example of something that only works because of quantum mechanics<p>Does that mean that quantum effects play an essential role in the operation of a transistor?

Unable to view videos because my IP is blocked. Please don&#x27;t block IP addresses: <a href="https:&#x2F;&#x2F;news.ycombinator.com&#x2F;item?id=34178168" rel="nofollow">https:&#x2F;&#x2F;news.ycombinator.com&#x2F;item?id=34178168</a>

I wonder, when will appear analog of Uncertainty Principle for coding and Open Source :)

Why should I listen to a Software Engineering Manager on this?

I&#x27;m pretty sure you can find a lot of degenerate matter on reddit&#x2F;twitter xd