This form is not really an inner product in the common modern definition, because it is not positive definite, only a symmetric bilinear form.
Basically, the antenna has to be very, very large, more comparable to wavelength. E.g. even for the higher pitches, we fall in very low frequency, so have a look at the size of some of the submarine VLF antennas! They are like football pitch sized.
All pages below are from the second edition from 2018. It seems that there weren't any changes in the text, the updated preface mentions
As it happens, nearly 15 years have passed since the 1st edition of Power, Sex, Suicide was published, and I am resisting the temptation to make any lame revisions. Some say that even Darwin lessened the power of his arguments in the Origin of Species through his multiple revisions, in which he dealt with criticisms and sometimes shifted his views in the wrong direction. I prefer my original to speak for itself, even if it turns out to be wrong.
This is partly addressed in the preface of the second edition from 2018.
Central thesis:
- there are two sexes because of mitochondria
- the acquisition of mitochondria was one of the most important steps in the evolution of eukaryotes.There are no known eukaryotes which never had mitochondria. Having mitochondria appears to be a requisite for being an eukaryote.Contrast this for example with multicellularity, which is highly polyphyletic.
- Apoptosis is largely regulated by mitochondria
- there are two main theories for how the mitochondria endosymbiosis started:
- parsitic hypothesis of mitochondrial endosymbiosis: a parasitic option rather than cooperative
- hydrogen hypothesis: a cooperative option rather than parasitic
Smaller points:
- 10% of our body weight (dry presumably?) is mitochondria. Also quoted at: www.nature.com/scitable/blog/student-voices/mighty_mitochondria. TODO confirm.
- eukaryotes can do phatocytosis due to their cytoskeleton
- paints a colorful picture of Peter Mitchell. Some Wikipedia edits are warranted!
- it is hard for complex organisms to evolve because longer DNA means longer replication time
- cancer is natural selection gone wrong
- multicellular organisms are not utopias where every cell lives happily. Rather, they are dictatorships, where any dissident is forced to commit seppuku. Lu Xun's petition quote comes to mind.
Nitpicks:
- the book calls ATP synthase "ATPase" in several points, which is confusing because -ase means "something that breaks", and in 2020 parlance, there are ATPases which actually break ATP: en.wikipedia.org/wiki/ATPase. The book itself acknowledges that on page 135:
The ATPase is freely reversible. Under some circumstances it can go into reverse, whereupon it splits ATP, and uses the energy released to pump protons up the drive shaft, back across the membrane against the pressure of the reservoir. In fact the very name ATPase (rather than ATP synthase) signifies this action, which was discovered first. This bizarre trait hides a deep secret of life, and we’ll return to it in a moment.
Some criticisms:
- some of the later chapters are a bit more boring, like the stuff about warm-blooded animals. Perhaps is it that Ciro Santilli is more interested in the molecular aspects than macro
- the author talks about some very recent research at the time. While this does highlight his expertise, some of the points mentioned might still be in a state of flow. This is acknowledged by the author himself on the 2018 updated preface however.
Contains instructions on how to synthesize MIDI.
Extension: sf2.
Can be imported for example by:
- vmpk
- Csound with
sfload: www.csounds.com/manual/html/sfload.html
What does it mean that photons are force carriers for electromagnetism? Updated 2025-04-24 +Created 1970-01-01
TODO find/create decent answer.
I think the best answer is something along:
- local symmetries of the Lagrangian imply conserved currents. gives conserved charges.
- OK now. We want a local symmetry. And we also want:Given all of that, the most obvious and direct thing we reach a guess at the quantum electrodynamics Lagrangian is Video "Deriving the qED Lagrangian by Dietterich Labs (2018)"
- Dirac equation: quantum relativistic Newton's laws that specify what forces do to the fields
- electromagnetism: specifies what causes forces based on currents. But not what it does to masses.
A basic non-precise intuition is that a good model of reality is that electrons do not "interact with one another directly via the electromagnetic field".
A better model happens to be the quantum field theory view that the electromagnetic field interacts with the photon field but not directly with itself, and then the photon field interacts with parts of the electromagnetic field further away.
The more precise statement is that the photon field is a gauge field of the electromagnetic force under local U(1) symmetry, which is described by a Lie group. TODO understand.
This idea was first applied in general relativity, where Einstein understood that the "force of gravity" can be understood just in terms of symmetry and curvature of space. This was later applied o quantum electrodynamics and the entire Standard Model.
From Video "Lorenzo Sadun on the "Yang-Mills and Mass Gap" Millennium problem":
- www.youtube.com/watch?v=pCQ9GIqpGBI&t=1663s mentions this idea first came about from Hermann Weyl.
- youtu.be/pCQ9GIqpGBI?t=2827 mentions that in that case the curvature is given by the electromagnetic tensor.
Bibliography:
- www.youtube.com/watch?v=qtf6U3FfDNQ Symmetry and Quantum Electrodynamics (The Standard Model Part 1) by ZAP Physics (2021)
- www.youtube.com/watch?v=OQF7kkWjVWM The Symmetry and Simplicity of the Laws of Nature and the Higgs Boson by Juan Maldacena (2012). Meh, also too basic.
Here we list public domain academic papers. They must be public domain in the country of origin, not just the US, which had generally less stringent timings with the 95 year after publication rule rather than life + 70, which often ends up being publication + 110/120. Once these are reached, they may be upload to Wikimedia Commons!
- 2018
- Max Planck's works in Germany (1947 + 70)
- 2026
- Albert Einstein's works in Germany (1955 + 70)
- 2031:
- Max von Laue's works in Germany (1960 + 70)
- 1912: Interferenz-Erscheinungen bei Röntgenstrahlen (Interference phenomena in X-rays). Scan: archive.org/details/sitzungsberichte1912knig/page/n393/mode/2up. Clean upload: archive.org/details/interferenz-erscheinungen-bei-rontgenstrahlen
- Max von Laue's works in Germany (1960 + 70)
- 2032:
- 2042
- 1927: www.nature.com/articles/119558a0 The Scattering of Electrons by a Single Crystal of Nickel. (1971 + 70), Germer's death. Scan: archive.org/details/sim_nature-uk_1927-04-16_119_2998/page/554/mode/2up. Clean upload: archive.org/details/the-scattering-of-electrons-by-a-single-crystal-of-nickel. The Davisson-Germer experiment!
- 2049
- 1922 Stern-Gerlach experiment papers such as The experimental proof of directional quantization in the magnetic field. Stern died in 1969, Gerlach died in 1979, so 1979 + 70
- 2056
- 1961 Experimental Evidence for Quantized Flux in Superconducting Cylinders. Published in the US, so 1961 + 95.
This dude is interesting. Quite crazy type. It is hard to differentiate genius from mad.
Ciro Santilli bumps on his Stack Overflow from time to time: stackoverflow.com/users/1269037/dan-dascalescu.
The key experiment/phenomena that sets the basis for photonic quantum computing is the two photon interference experiment.
The physical representation of the information encoding is very easy to understand:
- input: we choose to put or not photons into certain wires or no
- interaction: two wires pass very nearby at some point, and photons travelling on either of them can jump to the other one and interact with the other photons
- output: the probabilities that photos photons will go out through one wire or another
Jeremy O'Brien: "Quantum Technologies" by GoogleTechTalks (2014)
Source. This is a good introduction to a photonic quantum computer. Highly recommended.- youtube.com/watch?v=7wCBkAQYBZA&t=1285 shows an experimental curve for a two photon interference experiment by Hong, Ou, Mandel (1987)
- youtube.com/watch?v=7wCBkAQYBZA&t=1440 shows a KLM CNOT gate
- youtube.com/watch?v=7wCBkAQYBZA&t=2831 discusses the quantum error correction scheme for photonic QC based on the idea of the "Raussendorf unit cell"
There are unlisted articles, also show them or only show them.