by Yablon » Fri Sep 20, 2019 8:16 am
gill1109 wrote:Well, this is far outside my field . . .
In one very important way this is right in the center of your field: The Planck blackbody distribution is a continuous statistical distribution for the discrete emissions of photons of various wavelengths. Pure statistics. And what Hawking made, can be seen as a statistical discovery.
In this regard, let me copy here, what I said from pages 5 to 6 in what I just posted:
"...All of this was known to Wheeler in 1957. But what Wheeler did not know, was the answer to the following question: “What type of statistical energy distribution is operative in the Planck vacuum?”
It was Hawking, by discovering black hole radiation until 1974, who supplied the answer to this question: Because the geometrodynamic vacuum is one omnipresent black hole, and because the event horizon of any black hole emits a blackbody spectrum with a temperature given by (1.1),
the energy distribution of fluctuations in the quantum gravitational vacuum is a Planck blackbody spectrum. It is almost impossible to overstate the importance of this. Yes, it was known since 1957 that the Planck vacuum must have some distribution of energies. But,
a priori, this distribution could have been a Gaussian, or any other one of dozens of known distributions.
Until Hawking, there was no reason to suspect that the actual physical distribution of energies would be given by the Planck blackbody spectrum, and not by some other spectrum."
[quote="gill1109"]Well, this is far outside my field . . .[/quote]
In one very important way this is right in the center of your field: The Planck blackbody distribution is a continuous statistical distribution for the discrete emissions of photons of various wavelengths. Pure statistics. And what Hawking made, can be seen as a statistical discovery.
In this regard, let me copy here, what I said from pages 5 to 6 in what I just posted:
"...All of this was known to Wheeler in 1957. But what Wheeler did not know, was the answer to the following question: “What type of statistical energy distribution is operative in the Planck vacuum?”
It was Hawking, by discovering black hole radiation until 1974, who supplied the answer to this question: Because the geometrodynamic vacuum is one omnipresent black hole, and because the event horizon of any black hole emits a blackbody spectrum with a temperature given by (1.1), [i]the energy distribution of fluctuations in the quantum gravitational vacuum is a Planck blackbody spectrum[/i]. It is almost impossible to overstate the importance of this. Yes, it was known since 1957 that the Planck vacuum must have some distribution of energies. But, [i]a priori[/i], this distribution could have been a Gaussian, or any other one of dozens of known distributions. [i]Until Hawking, there was no reason to suspect that the actual physical distribution of energies would be given by the Planck blackbody spectrum, and not by some other spectrum.[/i]"
