What Physics Formula Applies to Particles Smaller Than 10^-10?

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Discussion Overview

The discussion revolves around the appropriate physics formulas applicable to particles smaller than 10^-10 meters, particularly in the context of classical and quantum mechanics. Participants explore the transition from classical physics to quantum mechanics and the implications of this transition on the understanding of force and motion at very small scales.

Discussion Character

  • Exploratory, Technical explanation, Debate/contested

Main Points Raised

  • One participant questions the applicability of Newton's Second Law (F=ma) for particles smaller than 10^-10 meters and seeks an alternative formula.
  • Another participant emphasizes the need for clarity on the units being used to define the scale of 10^-10 meters.
  • A different participant suggests that the Schrödinger Equation serves as the quantum equivalent of Newton's Second Law for small particles.
  • One contribution discusses the relationship between classical and quantum physics, noting that classical physics can be seen as a limit of quantum physics, with no clear boundary between the two realms.
  • There is a suggestion to use SI units for consistency in calculations, although the relevance of the specific measurement units is debated.

Areas of Agreement / Disagreement

Participants express differing views on the appropriate formulas and concepts to apply at the quantum scale, indicating that multiple competing perspectives exist without a consensus on a singular approach.

Contextual Notes

Participants highlight the importance of specifying units and maintaining consistency in calculations, which may affect the interpretation of the question. There is also mention of the complexities involved in transitioning from classical to quantum mechanics, suggesting that the discussion is nuanced and context-dependent.

brianthewhitie7
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Force=mass X acceleration is used for objects larger than 10^-10 but what formula is used for particles smaller than 10^-10?

Also when squaring light in E=MC^2 what would light be? - 9 X 10^35?
 
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What are the units that you are talking about so that we can get a sense of what's exactly 10^-10 is.
 
If your question is what is the equivalent of Newton's Second Law on the quantum scale, then the answer that most would give is that it is the Schrödinger Equation.

Give some units and you'll probably get a more detailed answer.
 
In QM, the closest you get to F=ma (or F = dp/dt = -dV/dx) is F = d<p>/dt = -<dV/dx> where <> denotes the average value recorded over many repeated runs. This comes from the Schrödinger eqn. This is a weird result, which basically means classical physics exists as a limit of quantum physics, that is, you get a classical world when you consider large enough quantum systems, with large quantum numbers. There is no exact line you can draw between the quantum and classical world either, it's a sliding scale, sort of. (I think that is supposed to be quite a sticky subject though!) So we don't really need to know what your 10^-10 is measured in. ;) Although you should just use SI, it is the basically the standard nowadays. XD
 

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