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

On Tue, 26 Nov 2024 3:34:42 +0000, rhertz wrote:

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I don't understand why you didn't follow the questions that I did to
ChatGPT, which were only four. I also explained that it was impossible
for me to transcribe the complex and detailed calculations that ChatGPT
did, excelling in clarity and meaning.
>
I wrote those four questions and summarized each answer the best I
could. My idea of posting those questions was for you TO REPRODUCE the
extensive reasoning behind the answers. Easily, exceeding three pages
full of explanations, formulae, reasoning and calculations. ChatGPT
excelled working over this, being a sign that it really learn from
previous chat with me.
>
BUT, you resorted to IGNORE what I wrote and kept stuck with your own
interpretation and misconceptions about this experiment, like
introducing the concept of a solid sphere. Why?????
>
At any case, I made my mind: You ARE WRONG, and ChatGPT is correct (this
time).

Oh, dear. So a 5 watt laser is capable of maintaining a 5 cm
aluminum ball at 707 K.
You have the makings of a perpetual motion device.

If you want to try a further refinement of the idea, I have two (at
least):
>
1) The cavity is suspended by a thin wire within a thick box of
REFRACTORY MATERIAL (in the same way that the BBC at the Berlin PTB
was). I also published a picture of the original BBC used from 1893 to
1901, and it was huge, with porcelain as refractory material, and heated
electrically up to 1,600°C.
>
2) The entire block volume is cooled on the outside at -170°C to prevent
heat escaping such volume (1 m^3 is OK for you?).
>
>
I used 0.1 cm thickness since the beginning, to obtain a spherical
cavity of 2 grams of aluminum, so check your wrong comment.

1 mm = 10^-3 m thickness is what you might build an electronic chassis
from. I calculate 84 grams of material.
We were originally using aluminum the thickness of heavy-duty aluminum
foil, which gives a bit over 2 grams of material.

If you want to deal with this topic with fairness, I suggest you try the
FOUR QUESTIONS, in that order, so we both can have the same calculations
without the excessive burden of transcribing them.

Ma nishtanah halailah hazeh mikol haleilot?
Sheb’khol haleilot anu okhlin hametz umatzah; halailah hazeh, kuloh
    matzah.
Sheb’khol haleilot anu okhlin sh’ar y’rakot; halailah hazeh, maror.
Sheb’khol haleilot ein anu matbilin afilu pa’am ehat; halailah hazeh,
    shtei f’amim.
Sheb’khol haleilot anu okhlin bein yoshvin uvein m’subin; halailah
    hazeh, kulanu m’subin.
Answers:
1. We eat only matzah because our ancestors could not wait for their
   breads to rise when they were fleeing slavery in Egypt, and so
   they were flat when they came out of the oven.
2. We eat only Maror, a bitter herb, to remind us of the bitterness
   of slavery that our ancestors endured while in Egypt.
3. The first dip, green vegetables in salt water, symbolizes the
   replacing of our tears with gratitude, and the second dip,
   Maror in Charoset, symbolizes the sweetening of our burden of
   bitterness and suffering.
4. We recline at the Seder table because in ancient times, a person
   who reclined at a meal was a free person, while slaves and
   servants stood.
5. We eat only roasted meat because that is how the Pesach/Passover
   lamb is prepared during sacrifice in the Temple at Jerusalem.

Finally, it seems that you are renegading of your principle of steady
state equilibrium, when I wrote that half the heat remains inside the
cavity (in the IR range)

Black body radiation doesn't work the way that you think it does.

and the other half stay outside, confined at
the 1 cubic meter of a thermally isolated chamber.
>
Don't be like Paul, repeating all the time your calculations. Show some
respect to AI, which after all is closing its interpretation of the
problem by using refinements. ChatGPT remember all my previous chats.
>
I'll be thinking about further enhancements to my proposals. I'm far
from being knowledgeable in thermodynamics, but I learn from succesive
refinements of my understanding on this particular problem.
>
HERE ARE THE FOUR QUESTIONS, EXACTLY. DISMISS THE ANSWERS THAT I
SIMPLIFIED AND GET A CHANCE TO CHATGPT. IT'S GETTING BETTER MONTH AFTER
MONTH. NOBODY CAN DENY THIS FACT, KNOWN WORLDWIDE.
>
>
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>
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Q1: I have one sphere made of aluminum (2 grams), with a tiny hole of 3
mm^2 used to inject a 5 watts (550 nm) green laser beam. The sphere has
a 5 cm radius and a thickness of 0.1 cm.. It has been calculated that
the 5 Joules per second are completely absorbed by the aluminum. Does
the sphere (a cavity) radiates the  absorbed 5 Joules per second into
the cavity, as well a part of it by its external surface? In what
proportions?
>
A: approximately 49% of the absorbed energy radiates into the cavity,
and 51% radiates externally.
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>
Q2: What would be the temperature of the sphere?
>
A: The equilibrium temperature of the sphere is approximately 707 K (434
°C).
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ChatGPT is not known for being very good at numerical calculation.
It can assemble with reasonable accuracy the correct formulas, but
so far as actually multiplying and dividing to get a sensible answer,
not so much.

Q3: Exist a specific wavelength at which the heat is radiated?
>
A: Using Wien's Displacement Law, the peak energy is radiated  across a
broad spectrum, primarily in the infrared. Most radiation is in the
mid-infrared range (2 - 25 μm), with a peak at 4.1 μm.
.................
>
Q4: How many seconds would take to reach thermal equilibrium at 707 K?
>
A: The sphere would take approximately 191 seconds (about 3 minutes) to
reach thermal equilibrium at 707 K under the 5 W laser input.
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I've already given my answers. ChatGPT is bullshitting.