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Ended up under Springer in 2015 after a massive merger.

Planck's law by

Ciro Santilli  40 Updated 2025-07-16

Used to explain the black-body radiation experiment.

Published as: On the Theory of the Energy Distribution Law of the Normal Spectrum by Max Planck (1900).

The Quantum Story by Jim Baggott (2011) page 9 mentions that Planck apparently immediately recognized that Planck constant was a new fundamental physical constant, and could have potential applications in the definition of the system of units (TODO where was that published):

Planck wrote that the constants offered: 'the possibility of establishing units of length, mass, time and temperature which are independent of speciﬁc bodies or materials and which necessarily maintain their meaning for all time and for all civilizations, even those which are extraterrestrial and nonhuman, constants which therefore can be called "fundamental physical units of measurement".'

This was a visionary insight, and was finally realized in the 2019 redefinition of the SI base units.

TODO how can it be derived from theoretical principles alone? There is one derivation at; en.wikipedia.org/wiki/Planck%27s_law#Derivation but it does not seem to mention the Schrödinger equation at all.

Quantum Mechanics 2 - Photons by ViaScience (2012)

Source. Contains a good explanation of how discretization + energy increases with frequency explains the black-body radiation experiment curve: you need more and more energy for small wavelengths, each time higher above the average energy available.

Black-body radiation experiment by

Ciro Santilli  40 Updated 2025-07-16

The Quantum Story by Jim Baggott (2011) page 10 mentions:
Early examples of such cavities included rather expensive closed cylinders made from porcelain and platinum.
and the footnote comments:
The study of cavity radiation was not just about establishing theoretical principles, however. It was also of interest to the German Bureau of Standards as a reference for rating electric lamps.
1859-60 Gustav Kirchhoff demonstrated that the ratio of emitted to absorbed energy depends only on the frequency of the radiation and the temperature inside the cavity
1896 Wien approximation seems to explain existing curves well
1900 expriments by Otto Lummer and Ernst Pringsheim show Wien approximation is bad for lower frequencies
1900-10-07 Heinrich Rubens visits Planck in Planck's villa in the Berlin suburb of Grünewald and informs him about new experimental he and Ferdinand Kurlbaum obtained, still showing that Wien approximation is bad
1900 Planck's law matches Lummer and Pringsheim's experiments well. Planck forced to make the "desperate" postulate that energy is exchanged in quantized lumps. Not clear that light itself is quantized however, he thinks it might be something to do with allowed vibration modes of the atoms of the cavity rather.
1900 Rayleigh-Jeans law derived from classical first principles matches Planck's law for low frequencies, but diverges at higher frequencies.

Black-body Radiation Experiment by sciencesolution (2008)

Source. A modern version of the experiment with a PASCO scientific EX-9920 setup.

Ultraviolet catastrophe by

Ciro Santilli  40 Updated 2025-07-16

What is the Ultraviolet Catastrophe? by Physics Explained (2020)

Source.

Bitcoin non-standard transaction by

Ciro Santilli  40 Updated 2025-07-16

Full list at: github.com/cirosantilli/bitcoin-inscription-indexer/blob/master/data/utxo_nonstandard

Bibliography:

Monday, January 29, 2024

Base58 by

Ciro Santilli  40 Updated 2025-07-16

en.bitcoin.it/wiki/Base58Check_encoding

Invented for Bitcoin.

Base64 by

Ciro Santilli  40 Updated 2025-07-16

yEnc by

Ciro Santilli  40 Updated 2025-07-16

Big O notation by

Ciro Santilli  40 Updated 2025-07-16

Module bound above, possibly multiplied by a constant:

f (x) = O (g (x))

(1)

is defined as:

\exists M > 0\exists x_{0} \forall x > x_{0} : ∣ f (x) ∣ \leq M g (x)

(2)

E.g.:

$\forall c \in R x + c = O (x)$ . For $c < 0$ , $M = 1$ is enough. Otherwise, any $M > 1$ will do, the bottom line will always catch up to the top one eventually.

Little-o notation by

Ciro Santilli  40 Updated 2025-07-16

Stronger version of the big O notation, basically means that ratio goes to zero. In big O notation, the ratio does not need to go to zero.

So in informal terms, big O notation means

\leq

, and little-o notation means

<

E.g.:

$x = O (x)$
$x \neq = o (x)$ K does not tend to zero
$x = O (x^{2})$
$x = o (x^{2})$

Fourier-Bessel series by

Ciro Santilli  40 Updated 2025-07-16

Completeness: math.stackexchange.com/questions/2192665/is-this-set-of-bessel-functions-a-basis-for-all-c10-a-functions TODO

This is the Bessel function analogue to Fourier basis is complete for

L^{2}

Loopholes in Bell test experiments by

Ciro Santilli  40 Updated 2025-07-16

BB86 vs E91 by

Ciro Santilli  40 Updated 2025-07-16

physics.stackexchange.com/questions/441870/bb84-protocol-vs-e91-protocol

Positive-strand RNA virus by

Ciro Santilli  40 Updated 2025-07-16

It just has RNA that can be transcribed directly by the host ribosome.

Audacity profile-based background noise removal by

Ciro Santilli  40 Updated 2025-07-16

You select a sample noise-only area, and it remove noise from the entire video for you:

ASM International by

Ciro Santilli  40 Updated 2025-07-16

Parent/predecessor of ASML.

Artificial chromosome by

Ciro Santilli  40 Updated 2025-07-16

Using de novo DNA synthesis to synthesize entire Chromosomes.

Allen Wu by

Ciro Santilli  40 Updated 2025-07-16

www.linkedin.com/in/allenxwu

This situation is the most bizarre thing ever. The dude was fired in 2020, but he refused to be fired, and because he has the company seal, they can't fire him. He is still going to the office as of 2022. It makes one wonder what are the true political causes for this situation. A big warning sign to all companies tring to setup joint ventures in China!

2022 www.reuters.com/technology/arm-china-says-its-ousted-ceo-wu-is-refusing-pack-up-2022-05-05/

ARM Fired ARM China’s CEO But He Won’t Go by Asianometry (2021)

Source.

Arm product by

Ciro Santilli  40 Updated 2025-07-16

Twelve Apostles by

Ciro Santilli  40 Updated 2025-07-16

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