Need help with understanding an idea

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In summary, the conversation is about the book "From Certainty to Uncertainty" by David Peat, which discusses the problems with classical mechanics at the end of the 19th century. One of these problems is the "ultraviolet catastrophe," a failure of classical equations that led to the development of quantum mechanics. The author also mentions the concept of an infinite number of gradations in the wavelengths of light, which requires the use of integration rather than summation.
  • #1
fsoica
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Hello !

I'm just a passionate reader of popular physics books.
Often I'm in trouble understanding concepts and ideas.
hopefully this time someone here will help me...

I'm reading atm "From certainty to uncertainty", the book of David Peat.

He mentions in the first chapter about 2 clouds that darken the sky of classical physics at the end of the 19th century:
the luminiferous ether problem (I'm familiar with it)
and
"the problem of distributing energy equally among vibrating molecules"
(later on , "the way in which the energy is shared by vibrating molecules").

Since it has something to do with black body radiation, as the author mentions, i chose to ask the question in this category.

So, can anyone shed some light here? What problem David Peat is talking about ?

If someone could explain it in layman's terms, I'd be grateful...
 
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  • #3
tks for your answer...I think you are right ...the author is probably referring to the ultraviolet catastrophe.

could you pls enlighten me a bit more about this so called "catastrophe"? I have an idea about the phenomenon, but I can't say it's all clear...

He (David Peat) writes later in the chapter about:

Waves can be of any length, with an infinite range of gradations.
By analogy with sound and water waves, the waves of light radiated
from a hot body were assumed to have every possible length and
every possible frequency; in other words, light had an infinite number
of gradations from one wavelength to the next
.

I don't understand what this infinite number of gradations is about...
 
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  • #4
fsoica said:
in other words, light had an infinite number
of gradations from one wavelength to the next
.

I don't understand what this infinite number of gradations is about...

I would take it to mean the the allowed wavelengths are not discrete, in other words if I have a range of frequencies F1 to F2, then every frequency in the range F1 to F2 is allowed. That means that, in evaluating the contribution of a range of frequencies, we have to use integration rather than summation.
 

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