Re: Want to prove E=mc²? University labs should try this!

On Fri, 22 Nov 2024 16:31:06 +0000, rhertz wrote:

I owe an apology to everyone that participated in this thread.
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The experiment described in the OP is ILL CONCEIVED (by me. Thanks,
ChatGPT, which encouraged me to follow since the OP). But it's my fault
entirely.
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The source of my HUGE ERROR was to NOT UNDERSTAND that ONLY with a
perfect reflectivity of 100%, this experiment could be realized. Even a
slightly lower reflectivity (say 1 photon lost every 1,000,000,000,000
photons) causes that ALL THE PHOTONS bouncing back and forth be
dissipated as heat.
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The accumulation of photons at the K-th Slot is correctly given by
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N = F (Rᴷ + Rᴷ⁻¹ + Rᴷ⁻² + Rᴷ⁻³ + .... + R² + R)
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where F is the amount of photons per 0.33 nsec slot.
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With a 5 Watts laser, F = 4.12E+48 photons/sec x 0.333 nsec = 1.37E+39
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If R = 0.9999998 (LIGO, 1 photon lost every 5,000,000), the survival
time of each pack F is 1.67 msec. In that time, all the photons are
wasted as heat.
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As an example, if R = 0.9999999998  (1 photon lost/5 billion photons),
the survival time of each pack would be about 1.67 seconds.
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After K bounces in the cavity (K = 3.00E+09 bounces/sec), IT WAS WRONG
TO CALCULATE accumulated energy in this way:
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E(1 second) = F x [R(1-Rᴷ)/(1-R)] x E(1 photon)
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because I'm not contemplating the extinction rate of each pack F.
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So, in the end, and no matter if there were seconds or hours, NO PHOTONS
remain within the cavity.
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It was fun, but the experiment is impossible to be implemented.
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BTW: Do you all understand that I was trying to weight LIGHT? Can it be
possible? Maybe the formula E=mc² works only in one way: mass to energy.

No need to apologize. I've found this thread to be immensely fun!
I've learned a lot and had to review ancient, forgotten knowledge and
rusty skills.
Of all the contributors to this forum considered to be crackpots that
I've met over the last 2 1/2 decades, you have struck me as the most
genuinely knowledgeable and accomplished in your former professional
career. You just have a few quirks when it comes to relativity. :-)
That is why I've tried never to use insults or demeaning language in
my interactions with you. I've probably learned nearly as much from
you as I have learned from any of the few genuine experts who have
visited these groups.