What is the slowest Velocity possible?

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Discussion Overview

The discussion centers around the concept of the slowest possible velocity, exploring both classical and quantum perspectives. Participants examine the implications of motion, stillness, and the limits imposed by quantum mechanics, while also considering practical examples and thought experiments.

Discussion Character

  • Exploratory
  • Technical explanation
  • Conceptual clarification
  • Debate/contested

Main Points Raised

  • Some participants propose that in classical terms, the minimum possible velocity is zero, particularly for a stationary object like a parked car.
  • Others argue that in quantum mechanics, the Heisenberg Uncertainty Principle limits the minimum possible momentum, suggesting that particles can have zero velocity with respect to an observer despite uncertainty in their position.
  • A participant provides a calculation estimating the uncertainty in velocity for a car based on quantum mechanics, concluding that noticeable movement would take an impractically long time to observe.
  • Some participants humorously speculate about the implications of walking slowly and potential diffraction effects.
  • One participant questions whether the ratio of Planck length to Hubble time could represent a significant lower limit for quantized velocity.
  • Another participant asserts that there is no lower limit to velocity in both classical and quantum mechanics.
  • A later reply emphasizes the absence of a universal reference frame for absolute static locality, suggesting that the question may be fundamentally unanswerable.

Areas of Agreement / Disagreement

Participants express differing views on the nature of velocity, with some supporting the idea of zero velocity in classical terms, while others highlight quantum mechanics' implications. The discussion remains unresolved regarding the existence of a lower limit to velocity.

Contextual Notes

The discussion includes assumptions about classical and quantum mechanics, the implications of decoherence, and the practical limitations of measuring extremely small velocities. There are also references to thought experiments that may not have clear resolutions.

Chaos' lil bro Order
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This question may sound dumb, but what is the slowest Velocity possible?

Say a car is parked in a parking lot perfectly flat on the concrete ground, is the car perfectly still? Or does the interactions of the cars tire with the concrete produce a tiny flux in movement? I'm guessing that if there is a tiny flux in movement that it cancels out to zero for all macroscopic observations. Let's assume that all background noise is zero for the sake of argument.
 
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In classical terms, the minimum possible velocity is quite obviously zero.

In quantum-mechanical terms, the minimum possible momentum is limited by the Heisenberg Uncertainty Principle. If you have no knowledge of where a particle is, you can have compete knowledge of its momentum. In such a situation, it can still be arranged for the particles involved to have zero velocity with respect to some observer.

It doesn't make much sense (i.e. it's not very useful) to describe a car with quantum mechanics; decoherence makes objects like cars behave purely classically.

- Warren
 
Ok thanks, guess it was a dumb question.
 
chroot said:
It doesn't make much sense (i.e. it's not very useful) to describe a car with quantum mechanics; decoherence makes objects like cars behave purely classically.

Well, for fun, you could do an estimation: take a car of 1000 kg, and assume that we know the position up to 10 micrometers.
That gives us an uncertainty on momentum of ~ 10^(-34) Js/ 10^(-5)m = 10^(-29) kg m/s, or an uncertainty in velocity of 10^(-32) m/s (given the mass of 1000 kg).

So, given that we know the position of the car up to 10 micrometers, and that the velocity is uncertain (and hence of the order of) 10^(-32) m/s, in order for us to notice a movement of the car (meaning, that it moves for more than 10 micrometers), we'd have to wait for: 10^(-5)/10^(-32) s = 10^27 seconds, or ~10^19 years, which is about one billion times the age of the universe. In the mean time, probably the car will have evaporated.
 
I used to wonder if I might diffract if I walk through a doorway slowly enough. :biggrin:
 
You'll diffracture if you're blocking Tsu's path. :-p
 
Could the ratio of Planck length to Hubble time be a significant lower limit for quantized velocity?
 
There's nothing special about the Hubble time. In fact, it's always changing.

As I've said, in both classical and quantum mechanics, there is no lower limit to velocity.

- Warren
 
Since there is no "universal" referance frame regarding absolute static locality, the question is impossible to answer.
However, it CAN be reasonably inferred that there is no evidence in non-motion.
 

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