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I have calculated this and the radius comes out as almost exactly twice the Planck length. Is this right? This seems to be very significant if my calculation is correct. It highlights a possible and fundamental error in the mathematics of physics.

Significance:The Planck mass is nature’s maximum allowed mass for point-masses (quanta). If two quanta of the Planck mass or greater met, they could spontaneously form a black hole whose Schwarzschild radius equals their de Broglie wavelength.

Quote from: jeffreyHI have calculated this and the radius comes out as almost exactly twice the Planck length. Is this right? This seems to be very significant if my calculation is correct. It highlights a possible and fundamental error in the mathematics of physics.Look up the definition of the Planck mass here ...sorry, you cannot view external links. To see them, please REGISTER or LOGINQuoteSignificance:The Planck mass is nature’s maximum allowed mass for point-masses (quanta). If two quanta of the Planck mass or greater met, they could spontaneously form a black hole whose Schwarzschild radius equals their de Broglie wavelength. Does this seem so surprising now?

Why not check out how Planck reached his constants. Both links are interesting.One of the nicest persons I've read about, scientists are no different from other people, you can find all sorts of ideas and personalities there, Planck seems very humane to me, and with a lot of personal integrity. And I also think he was a brilliant mathematician and theorist. His constants are more important to day, as I think, than what they were when he first presented them. He didn't develop them to prove 'photons' or 'quanta' of any sort, but to explain why black body radiation, in the infra red spectrum, started to differ from Wien's displacement law as I understand."At 1650 Celsius, Wien's displacement law tells us, a blackbody radiates most intensely at a wavelength of 1.486 microns. By making measurements at wavelengths longer than that, Lummer and Pringsheim had extended the realm of their measurements into that part of the infrared spectrum where blackbody radiation conforms less to the law that Wilhelm Wien had proposed in 1896 and more to the Rayleigh-Jeans law. But Lummer and Pringsheim did not obtain a discrepancy between their observations and Wien's law large enough to give them certainty. Later in the year, though, Heinrich Leopold Rubens (1865 Mar 30 - 1922 Jul 17) and Ferdinand Kurlbaum extended the range of measurable wavelengths to 50 microns and obtained results that removed all doubt. On October 07 Rubens revealed his results to Planck over afternoon tea and that evening Planck solved the problem of blackbody radiation." ...sorry, you cannot view external links. To see them, please REGISTER or LOGIN

You can see his derivation at the first site, the second sites link to his paper seems to old to work though

Why not check out how Planck reached his constants. Both links are interesting.One of the nicest persons I've read about, scientists are no different from other people, you can find all sorts of ideas and personalities there, Planck seems very humane to me, and with a lot of personal integrity.

Your half-factor proportion may come in dependent on whether the interaction is of one body or between two bodies, where two times the mass yields half the radius, by the inverse force law.