Planck's Constant times the speed of light

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Discussion Overview

The discussion revolves around the significance of the product of Planck's Constant and the speed of light (hc) in physics. Participants explore its implications in various contexts, including its appearance in formulas related to the fine structure constant and black body radiation, as well as its dimensional properties.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested

Main Points Raised

  • Some participants note that hc has physical dimensions of energy multiplied by length and relate it to de Broglie wavelength and Compton wavelength formulas.
  • Others question the significance of dimensionful constants in physics, suggesting they may only serve to adjust units.
  • One participant highlights that hc relates photon energy to wavelength, providing the formula E = hc/λ.
  • There is a discussion about the hypothetical implications of changing the speed of light, with some arguing that it would fundamentally alter classical physics, while others assert that changing dimensionful constants would merely redefine units.
  • Participants clarify terminology, with one correcting the term "super relativity" to "special relativity" and another suggesting "ultra-relativistic" for cases where velocity approaches the speed of light.

Areas of Agreement / Disagreement

Participants express differing views on the significance of hc and dimensionful constants, with no consensus reached on their implications or meanings in physics.

Contextual Notes

Some discussions involve hypothetical scenarios that may not be directly applicable to current physical theories, and there are unresolved questions regarding the impact of changing fundamental constants.

LarryS
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TL;DR
Does hc have any special significance in physics?
Does the product of Planck's Constant and the speed of light, hc, have any significance in physics other than an arbitrary product of two constants? I noticed that it appears in one formula for the fine structure constant. It also appears in Planck's formula for black body radiation.

Thanks in advance.
 
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hc has physical dimension of energy*length. de Beloglie wave length of super relativity
\lambda=\frac{hc}{E}
Compton wave length
\lambda=\frac{hc}{E}=\frac{hc}{mc^2}
 
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LarryS said:
Does the product of Planck's Constant and the speed of light, hc, have any significance in physics

Does any dimensionfull constant have any significance in physics? :wink: Other than adjusting units of course.
 
In Wikipedia Plack units https://en.wikipedia.org/wiki/Planck_units I find the formula of Planck charge

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LarryS said:
Does the product of Planck's Constant and the speed of light, hc, have any significance in physics other than an arbitrary product of two constants?
It relates photon energy to wavelength.
Photon energy, in eV; E = h c / λ
 
weirdoguy said:
Does any dimensionfull constant have any significance in physics? :wink: Other than adjusting units of course.
Not sure. What if the speed of light was one millimeter per second? I would think that would have a profound effect on our everyday, classical/macro world. Would Newtonian physics, as we know it today, ever have been developed?
 
anuttarasammyak said:
hc has physical dimension of energy*length. de Beloglie wave length of super relativity
\lambda=\frac{hc}{E}
Compton wave length
\lambda=\frac{hc}{E}=\frac{hc}{mc^2}
Not familiar with the term "super relativity". Did you mean to say "special relativity"?
 
LarryS said:
Not sure. What if the speed of light was one millimeter per second? I would think that would have a profound effect on our everyday, classical/macro world. Would Newtonian physics, as we know it today, ever have been developed?
There's an ongoing thread explaining why you cannot change just the speed of light, and if you mess around with dimensionful constants it all ends up being just a redefinition of what "1m" means. You need to change the (dimensionless) fine structure constant to get the effect you are thinking of, which may or may not involve changing the speed of light (depending on your unit system).

I'd suggest reading that thread before rehashing it here.
 
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LarryS said:
Not sure. What if the speed of light was one millimeter per second? I would think that would have a profound effect on our everyday, classical/macro world.
I would have a very long beard, that's for sure.
 
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LarryS said:
Not familiar with the term "super relativity". Did you mean to say "special relativity"?
I mean the case that velocity v is almost light speed c so
E = \sqrt{p^2c^2+m^2c^4} \approx pc
Photons m=0 are the case exactly.
 
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anuttarasammyak said:
I mean the case that velocity v is almost light speed c....
"Ultra-relativistic" will be one of the better ways of describing this case.
 
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