Pointless Physics as Asymptomatic Silence: Simultaneity is not there anymore: What is a "point" in noncommutative quantum algebra? Fedele Lizzi

 I will discuss some aspects of the concept of "point" in quantum gravity, using mainly the tool of noncommutative geometry. I will argue that at Planck's distances the very concept of point may loose its meaning. I will then show how, using the spectral action and a high momenta expansion, the connections between points, as probed by boson propagators, vanish. This discussion follows closely [1] (Kurkov-Lizzi-Vassilevich Phys. Lett. B 731 (2014) 311, [arXiv:1312.2235 [hep-th]].

 https://www.researchgate.net/publication/332897536_Points_Lack_thereof

So I need to have a particle of light, photons, which is small, but because of relativity, if it is small then it's very energetic [frequency as momentum=mass]. So what happens is that I send this very energetic object to the electron. Then I see that it has scattered. So I knew that somewhere there was this object but it was very energetic so it gave a kick, so I don't know the speed afterwards, what was as much the exchange of speed. 

And small wavelength means a large momentum due to relativity (de Broglie-Einstein equation).
The amount of momentum transferred between the electron and photon is uncertain by a factor of 4pi (sphere) but by using quantum mechanics the position and momentum now become OPERATORS (not just variables) so that now you find a slightly different answer:

I want to just show that the quantum thing...you do the calculation with the theory of quantum mechanics: operators on an inverse space: the real thing. You find a SLIGHTLY different number. The principle is the same but instead of finding "h" you find "h-bar" which is (h divided by 2pi) divided by 2. [aka multiplied by 1/2] So there is a factor of 4pi. So the principle is the same but the heuristic way gives you order of magnitude within the order of magnitude the right answer.

Fedele Lizzi: Pointless Physics 10/16/19

Chinese philosophy professor Patrick Edwin Moran:

You can see the derivation actually used by Heisenberg and Born in Appendix A of the paper on Heisenberg’s “magical” solution to turning Maxwell’s classical picture of electromagnetic phenomena into a quantized form. In the last half-page of this appendix, which I reproduce below, ω represents angular frequency. It drops out leaving a factor of π.

(The above is from the 20th page of the PDF version of :

Understanding Heisenberg’s ‘magical’ paper of
July 1925: a new look at the calculational details

Ian J. R. Aitchison
Department of Physics, Theoretical Physics, University of Oxford,
Oxford OX1 3NP, UK

David A. MacManus
Tripos Receptor Research Ltd., Bude-Stratton Business Park,
Bude, Cornwall EX23 8LY, UK

 

http://th-www.if.uj.edu.pl/~sitarz/ngasm19/Todorov.pdf 

So now we create a microscopic black hole....

A black hole has been made in the laboratory....Rather it’s a kind of toy black hole made from light — and “completely harmless”, its creators say....the team says that almost any pulse — including those used in fibre-optic telecommunications — should be a black-hole mimic to some degree. “We’re making them all the time,” says Leonhardt.... not only optical black holes but ‘white holes’ too.

light actually changes the fibre’s light-bearing properties. This mimics the way that a black hole’s gravity warps the space around it, altering the way light travels through it.
Because of this property of the fibre, a stream of light behind but faster than the ‘hole’ pulse gets slowed down as it catches up, and then is reflected backwards (like the fish in the sea that cannot enter a stream). So light can never cross into the trailing edge of the pulse, making it like a white hole. Just as with a cosmic white hole, the light also has its wavelength shortened by this process.
The 'black horizon' at the pulse front is more complicated. In a cosmic black hole, incoming light is also frequency-shifted as it approaches, until its wavelength is so small that it requires new and unknown physics to describe how the light behaves. In the optical fibre, the alteration of wavelength is not so extreme. The result is that the light actually bounces away. That sounds as if it's the opposite behaviour to a real black hole, but in fact the maths governing the behaviour is the same.

 Leonhardt and his colleagues predict that their optical black holes should emit photons of ultraviolet light that are equivalent to Hawking radiation, which should be detectable. “They are of very low intensity,” says Leonhardt, “so seeing them will need great luck. We’d be overjoyed if we found this was happening.” It will also be tricky to distinguish these photons from the hole pulse itself, although the photons ought to have a characteristic fingerprint.

'Black hole' made from light
too much energy (frequency) which is mass in relativity... into a point - and you get a black hole...Momentum in an uncertain light Ulf Leonhardt

As atom optics has shown, the role of light and matter can be reversed. So, if a transparent material — the glass of a lens, for example — acts on light as though to change the geometry of a situation, light should change the geometry of such materials as well.

https://physicsworld.com/a/both-answers-correct-in-century-old-optics-dilemma/

 Minkowski and Abraham wanted to know how light’s momentum changes as a result. Abraham calculated that the momentum of a single photon within the light is also reduced by a factor n, a result which agrees with our experience of everyday objects – as their speed drops, so too does their momentum. Indeed, a number of powerful arguments have been put forward over the years in support of this position. Prominent among these has been a simple proof based on Newton’s first law of motion and Einstein’s equivalence of mass and energy, which considers what happens when a single photon travels through a transparent block and transfers some of its momentum to the block, given that the motion of the system’s centre of mass-energy must remain constant.

Minkowski’s formulation, on the other hand, seems more natural from the point of view of quantum mechanics. As light slows down inside a medium its wavelength also decreases, but quantum mechanics tell us that shorter wavelengths are associated with higher energies, and therefore higher momenta. In fact, Minkowski’s approach suggests that the momentum of a single photon of light increases by a factor n as it passes through a medium. This result can also be supported by strong theoretical arguments, among them one that considers what happens when an atom moving at some speed through a medium absorbs a photon and experiences an electronic transition.

Abraham corresponds to a body’s “kinetic momentum” – its mass multiplied by its velocity. Minkowski’s momentum, on the other hand, is a body’s “canonical momentum” – Planck’s constant divided by its de Broglie wavelength. “These two formulations reflect the fact that in different situations momentum does different things,” he adds. “In free space they coincide, but not when inside a medium.”

For Echo Signal: Time=distance position and velocity=frequency as momentum

https://ocw.mit.edu/courses/physics/8-06-quantum-physics-iii-spring-2016/lecture-notes/MIT8_06S16_Supplementry.pdf

 Abraham described the momentum of light as a particle whereas Minkowski described the momentum of light as a wave. As such, he agrees that both formulations are correct. However, he does not think that the debate is really over. “The question is: when is the particle momentum relevant and when is the wave momentum relevant? Are there cases when a mixture of wave and particle properties appear?” he asks. “When science answers one question, ten new questions appear.”
Barnett is also not entirely satisfied. “We now know that Abraham and Minkowski were both right,” he says. “But we don’t yet know why nature requires two momenta.”

cosmology in the lab - black hole analog - lecture by Ulf Leonhardt vid

if you are accelerating in space then space is now longer empty - you see blue shifted light coming towards you... the G-forces would crush you though.

quantum noise appears completely random but it is no longer random if you visualize it as a spacetime diagram. So the horizontal axis is space, the vertical axis is time. The picture shows random waves propagating in space and time. At a given moment in time everything is random but in spacetime you can clearly see structure...wave noise is organized. This organization leads to correlations across space and time.

Lizzi says

 "wikipedia is like every religion, has to be interpreted with something"...

So in general relativity you need renormalization due to dividing by zero as an infinity

So spacetime itself has to be quantized - points themselves have to be quantized.

So for each point, the coordinates do not commutate.

physically the points are no longer there.


  The case for a Casimir cosmology Authors: Ulf Leonhardt 

points no longer "talk" to each other via fields at high energies - so there is something like a "phase transition."

https://www.researchgate.net/publication/7950766_Asymptotic_Silence_of_Generic_Cosmological_Singularities

Our results indicate that asymptotic silence holds, i.e., particle horizons along all time lines shrink to zero

Fedele Lizzi:

the spectrum will not be the point spectrum of something that can be localized.

So then....

Fiber-optical analogue of the event horizon Experiment:

Elaborating on the mathematical analogy between the propagation of sound waves in inhomogeneous and moving media and the propagation of quantum fields on a curved space–time background, Unruh predicted in 1981 the occurrence of an analog Hawking emission of sound in any system showing a sonic horizon, i.e., an interface between a sub-sonic and a super-sonic region Unruh .

Bogoliubov Theory of acoustic Hawking radiation in Bose-Einstein Condensates