Particle Movement: The Importance of Distance and Shape at the Smallest Scale

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For a particle to travel from point A to point B at the smallest scale, is there a distance in which the particle has to teleport since its shape doesn't change. Let's say the distance it travels is 0.0000000001, but the particle still need to travel that distance without it being 0.
 
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A particle does not have a shape, and it does not teleport around. Why do you think it has to?

Let's say the distance it travels is 0.0000000001
And with a speed of 0.0000000001, it will reach the target in time 1 (add dimensions if you like).
Where is the relation to quantum physics?
 
well, I'm wondering what the smallest traveling distance is.
 
Hey fred:

It is believed the smallest distance is around Planck scale, about 10-33 cm.

At this distance chaotic quantum foam seems to begin to destroy traditional space,time, mass,etc...quantum field theory begins to break down.

Like when wind blow the tops off waves, called spume, the froth obscures the interface...where does the neat divide between air and water go??

You can read in Wikipedia "Planck scale"...

Just how far a particle must 'move' depends on your particle model and environment: The Standard Model posits point particles; Heisenberg uncertainty is also a factor and the Pauli exclusion principle may also be a limiting factor.
 
Not an expert in QM. AFAIK, Schrödinger's equation is quite different from the classical wave equation. The former is an equation for the dynamics of the state of a (quantum?) system, the latter is an equation for the dynamics of a (classical) degree of freedom. As a matter of fact, Schrödinger's equation is first order in time derivatives, while the classical wave equation is second order. But, AFAIK, Schrödinger's equation is a wave equation; only its interpretation makes it non-classical...
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
Is it possible, and fruitful, to use certain conceptual and technical tools from effective field theory (coarse-graining/integrating-out, power-counting, matching, RG) to think about the relationship between the fundamental (quantum) and the emergent (classical), both to account for the quasi-autonomy of the classical level and to quantify residual quantum corrections? By “emergent,” I mean the following: after integrating out fast/irrelevant quantum degrees of freedom (high-energy modes...

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