Quantum fluctuations at different height.

Edi
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has quantum fluctuations and the Wand der walls force that they produce been measured at different heights? Are there any results? Would there/ should there, according to accepted theories, be any difference?
 
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You mean gravity? No, the Van der Waals attraction is one of the fundamental forces that hold atoms together to form molecules. If it varied with height it would have a very noticeable effect on the properties of all substances.

For a pair of hydrogen atoms, for example, the Van der Waals potential can easily be calculated using time-independent second order perturbation theory as ce2a05/R6 where R is the distance between the pair of atoms, a0 is the Bohr radius, and c is a small numerical constant, about 6.5.
 
Different heights/ different intensity gravitational fields, yes.
The idea for this question was like this: we know of Einsteins missing inch, the inch missing in Earths circumference due to stretching of space and so. This means that there is actually more space near a gravitating body than.. further away, in a weaker relative gravitational field. A very tiny bit, but still, it is. [ looking from a higher plain/ dimension, if you will]
If there is more space, then there should be relatively more quantum fluctuations, no?[looking from a higher plain]
ok, I saw my flaw in thought here - we cannot possibly detect any difference in space density, because we are a part of it and morf with it as it goes..
but still... so what are quantum fluctuations anyway?
 
Insights auto threads is broken atm, so I'm manually creating these for new Insight articles. Towards the end of the first lecture for the Qiskit Global Summer School 2025, Foundations of Quantum Mechanics, Olivia Lanes (Global Lead, Content and Education IBM) stated... Source: https://www.physicsforums.com/insights/quantum-entanglement-is-a-kinematic-fact-not-a-dynamical-effect/ by @RUTA
If we release an electron around a positively charged sphere, the initial state of electron is a linear combination of Hydrogen-like states. According to quantum mechanics, evolution of time would not change this initial state because the potential is time independent. However, classically we expect the electron to collide with the sphere. So, it seems that the quantum and classics predict different behaviours!

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