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From: mcgeer%ucbkim%Berkeley@sri-unix.ARPA
Newsgroups: net.physics
Subject: Re: Limit to the frequency of light?
Message-ID: <255@sri-arpa.ARPA>
Date: Fri, 7-Jun-85 17:09:21 EDT
Article-I.D.: sri-arpa.255
Posted: Fri Jun  7 17:09:21 1985
Date-Received: Tue, 11-Jun-85 03:18:46 EDT
Lines: 26

From:  Rick McGeer (on an aaa-60-s) <mcgeer%ucbkim@Berkeley>

	Surely the wavelength is c/nu, not nu * c.  In this case, we have:

c/nu < MG/(c^2), where M = E/(c^2) = (h nu)/c^2.

This implies:

c/nu < (h nu)G/c^4, or:

nu^2 > c^5/hG

now, c = 2.998E8 m/s, h = 6.626E-34 Js (= N-m-s), and G = 6.673E-11
N-m^2/kg^2

solving, we have:

nu^2 > 0.0678E85, or nu^2 > 6.78E83, or nu > 8.23E41 Hz.

	The wavelength (= radius of black hole) is 3.64E-34 m.

	Question.  (1)  Such a black hole would give off Hawking radiation
like nobody's business.  Anyone have the Hawking curve handy?  What would be
the temperature of such a photon?

						Rick.