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From: hitlong@yahoo.com (gharnagel)
Newsgroups: sci.physics.relativity
Subject: Re: Want to prove =?UTF-8?B?RT1tY8KyPyBVbml2ZXJzaXR5IGxhYnMgc2hvdWxkIHRy?=
 =?UTF-8?B?eSB0aGlzIQ==?=
Date: Tue, 19 Nov 2024 18:04:04 +0000
Organization: novaBBS
Message-ID: <98a0a1fbdc93a5fcc108882d99718764@www.novabbs.com>
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On Tue, 19 Nov 2024 16:41:15 +0000, ProkaryoticCaspaseHomolog wrote:
>
> On Tue, 19 Nov 2024 16:06:10 +0000, gharnagel wrote:
> >
> > On Tue, 19 Nov 2024 9:41:32 +0000, ProkaryoticCaspaseHomolog wrote:
> > >
> > > Nope. Physics limits their application.
> > > You can achieve 99.999% reflectivity only at one specific angle
> > > (which is dependent on the mirror design). If the mirror reflects
> > > 99.999% of light normal to the surface, it won't reflect 99.999% of
> > > the light at other angles.
> >
> > Exactly.  I didn't realize how complex the LIGO optical train was,
> > nor the "power recycling" concept:
> >
> > https://arxiv.org/pdf/1105.0305
> >
> > I'm still quite certain, however, that when you throw 750 kW
> > into a 10 cm ball with walls that are 0.999999 reflective,
> > the losses will, as you say, cause serious problems.
> >
> > For one, that's a loss of 0.75 W/bounce, and bounces will happen
> > c/0.1 = 3x10^9 times per second -- IF one could supply the power
> > to keep it operating.  In which case, the whole thing would make
> > a beautiful incendiary display.  With only 5 W input to drive
> > the system, however, it would heat up to about 300 C, according
> > to my radiation slide rule.
>
> No. Your loss per bounce calculation is off.
> Think conservation of energy.

Prok, Prok, Prok!  Did you not read the above sentence that begins
with "-- IF"?

> At steady state, 5 W input equals 5 W output, which is not
> incendiary.
>
> It _is_ warm enough, however, that the whole shebang needs to be
> run in ultra-high vacuum to avoid convective effects.

The 300 degree temperature rise I calculated was under such
condition, based upon 300 cm^2 of surface area radiating with
no convection.

The point is, though, that with 3x10^9 bounces/second, it would
take much less than a second to whittle 5 W down to nothing:
1E5 bounces: 0.905Po
1E6 bounces: 0.368Po
2E6 bounces: 0.135Po
3E6 bounces: 0.050Po (in the first msec)
4E6 bounces: 0.018Po