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

On Tue, 26 Nov 2024 23:44:18 +0000, ProkaryoticCaspaseHomolog wrote:

On Tue, 26 Nov 2024 22:07:31 +0000, rhertz wrote:

<snip>

You are mixing different concepts of the theories around BBC.
>
I invite you to read the history of developments in BBC radiation, which
I wrote in 2019, and that end with Planck's discovery of h.
>
Thermal Radiation, Black Body Theory and the Birth of Quantum Physics
>
https://physictheories.blogspot.com/2019/
>
>
Read the last part, about RADIOMETRY, and the definitions of:
>
Spectral Radiant Energy inside a cavity: The original formulae u and E
from Planck. THESE ARE THE ORIGINAL PLANCK'S FORMULAE INSIDE THE BBC.
>
>
Spectral Radiant Exitance Me(𝜆,T) at the aperture in the cavity: THIS IS
WHAT YOU USED.

>
No, I was calculating energy density, assuming the black body nature
of the radiation. Read again that section of the Wikipedia article
that I provided you a link for.
>

IT'S THE ENERGY THAT FLOWS OUT OF THE BBC, THROUGH A
HOLE. This was what was ACTUALLY MEASURED at the BPT, whose physicists
provided ESSENTIAL INFORMATION to Planck in October 1900. He had two
months left to present his paper at the German Physics Society on
December 14, 1900 (date considered the birth of quantum physics).
>
IRRADIANCE is measured outside the BBC, and the factor c/4 allowed the
use of Planck's formula to measurements and calculations in astronomy.
NOR HIM NEITHER WIEN DERIVED SUCH EQUATION. It was derived AFTER THEM,
by physicists working in RADIOMETRY.

You are wrong having such attitude of denial about NOT READING the
Radiometry part of my link.

It speaks volumes about your stubbornness in NOT ACCEPTING that you were
wrong using such Stefan's modified formula.

The Wiki article is a pile of crap, no less. Using Stefan's law modified
to compute broadband irradiance in a closed cavity IS BEYOND STUPIDITY.


You weren't calculating energy density, assuming the black body nature

of the radiation. You did copy an ill-written link which used Stefan's
law multiplied by 4/c, which is A FACTOR USED in Spectral Radiant
Exitance Me(𝜆,T) at the aperture in the BB cavity.

Now, if you want TO DENY the knowledge that Radiometry provides, science
that has more than 130 years of accumulated experience, then you're just
in denial about the history of thermodynamics and applied physics.

I don't claim, not even close, to be knowledgeable in thermodynamics.

What I wrote in 2019 was MY FIRST ATTEMPT to publish something in a
blog. By then, I was curious about the origins of quantum physics, and I
collected and published information about the developments in the
understanding of what RADIANT HEAT was. Nothing more, nothing less.

I was too lazy to continue with other stories about advances in physics,
so I stop right there. I'm not a kind of person that need to publish
papers to satisfy my ego. I did it, for many years, in journals
specialized in defense, but I was almost forced to communicate such
content in specialized media. Never liked it. I like results, not blah,
blah, blah,....


Having you a PhD in Molecular Biology (or similar), I find it shocking
that you be so mind closed. One thing is stubbornness to defend your
position, but with an open mind, and other thing is you persisting in
YOUR INTERPRETATION of issues, negating ANY CHANCE to review your
position. That's very wrong, and it's far from what I am and I practice.


//////////////////////////////////////////////////

Here are dome of the SI (MKS) radiometry units that you should know
better:

1. Qe: Radiant Energy (Joule): Energy of electromagnetic radiation.


2. Φe: Radiant Flux (Watt): Radiant energy per unit time. It is
sometimes called "radiant power".


3. Spectral Radiant Energy inside a cavity: The original formulae u and
E from Planck.

Wu(ʋ,T) = u = 8𝜋hʋ^3c^-3(e^(hʋ/kT)-1)^-1   [units:  Joule.m^-3/Hz]

We(𝜆,T) = E = 8𝜋hc𝜆^-5(e(ch/k𝜆T)-1)^-1     [units:  Joule.m^-3. 𝜇m^-1]


4. Spectral Radiant Exitance Me(𝜆,T) at the aperture in the cavity:

Radiant exitance of a surface per unit wavelength (or frequency). This
is sometimes also confusingly called "spectral intensity".

Me(𝜆,T) = (c/4).We𝜆(𝜆,T)      [units:  Watt.m^-2.m^-1]


5. Monochromatic Irradiance or Spectral Flux Density at the aperture in
the cavity:

Radiance of a surface per unit frequency or wavelength per unit solid
angle. A directional quantity and differs from Planck's formula by
(c/4𝜋). This is sometimes confusingly called "spectral intensity".

Lʋ(ʋ,T) = (c/4𝜋).Wu(ʋ,T)    [units:  Watt.m^-2.Hz^-1.sr^-1]

Le(𝜆,T) = (c/4𝜋).We𝜆(𝜆,T)   [units:  Watt.m^-2.𝜇m^-1.sr^-1]


6. Flux Density or Irradiance Ee (Watt.m^-2): Radiant flux received by a
surface per unit area. This is sometimes confusingly called "intensity".


7. Radiance Le,Ω(Watt.m^-2.sr^-1): Radiant flux emitted, reflected,
transmitted or received by a surface, per unit projected area per unit
solid angle. This is a directional quantity. This is sometimes also
confusingly called "intensity".


*********************************************

You (due to Wikipedia) are wrongfully using THIS:

4. Spectral Radiant Exitance Me(𝜆,T) at the aperture in the cavity


Me(𝜆,T) = (c/4).We𝜆(𝜆,T)

but integrating it across the entire spectrum (in 𝜆 units), what would
give A MODIFIED STEFAN'S LAW! And this is INCORRECT, and doesn't exist.


You are accepting to integrate THE OUTPUT of the BBC through a small
orifice, energy that propagates toward INFINITY. Will you get it now?




I attach a drawing that explain why the factor 4 appears when the entire
surface of a sphere is computed in terms of solid angles (steradians).
The whole sphere covers 4𝜋 sr solid angle, in open space. The use of c
is just a convention for radiant energy velocity.