Speed of light derived from Planck constant?

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Discussion Overview

The discussion revolves around the relationship between the speed of light (c) and Planck's constant (h), exploring whether one can be derived from the other. Participants consider the implications of changes in these constants and the potential for a hypothetical proof of their connection.

Discussion Character

  • Exploratory
  • Debate/contested
  • Conceptual clarification

Main Points Raised

  • One participant questions the connection between c and h, suggesting that if Planck's constant were different, the speed of light might also change, and seeks a method for a hypothetical proof.
  • Another participant challenges the notion of 'fundamental constants,' arguing that in certain units, G, h, and c can be treated as equal to 1, implying variability in the parameters of the standard model instead.
  • A different viewpoint suggests that a future understanding of the fine structure constant, which is dimensionless, could lead to a derivation of c from h, although this line of inquiry is discouraged in mainstream physics.
  • Some participants note that the fine structure constant is just one of many dimensionless constants in the standard model, questioning its uniqueness.
  • There is a counterpoint emphasizing the historical significance of the fine structure constant to notable physicists, suggesting that it may hold special importance that should not be dismissed.

Areas of Agreement / Disagreement

Participants express differing views on the significance of the fine structure constant and the nature of fundamental constants, indicating that multiple competing perspectives remain without consensus.

Contextual Notes

There are unresolved assumptions regarding the definitions of fundamental constants and the implications of their variability. The discussion also reflects a tension between mainstream physics and more speculative inquiries.

zeusgm
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I was wondering if the speed of light (c) can be derived from Planck's constant (h) or the opposite way.

I know that they are both fundamental constants, but I'm sure they are connected somehow.

Saying it on a different way: if Planck's constant would be different, would the speed of light change?

Which would be the way on how to proceed for a hypothetical proof?
 
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The name ‘fundamental constants’ is misleading; G, h and c are not constants at all: in the Fundamental Planks units G=h=c=1. But you can vary parameters of the standard model instead.
 
It can be "derived" if one day in the future we will understand why the fine structure constant is dimensionless and why its value is close to 1/137. But asking such questions is being strongly discouraged by what is known as "mainstream physics". Once upon a time Princeton physicists (Dyson) were interested in these questions, but they are not for an ordinary folk to ask.
 
fine structure constant is part of parameters of dimensionless parameters of the Standard model. It is not very special - there are many other dimensionless constants.
 
Dmitry67 said:
fine structure constant is part of parameters of dimensionless parameters of the Standard model. It is not very special - there are many other dimensionless constants.

Perhaps for you, and for others that are happy with the standard model, it is not very special. For Pauli it was, for Feynman it was, for Dyson it was. Perhaps it will be such for someone in the future - why not to keep such a possibility in mind as a working hypothesis that is waiting for a verification?
 

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