Entanglement

So:

A PET-scan is done by placing a positron-emitting material inside a light detector. The positron interacts with a nearby electron and they both produce two high-energy light particles. Because of conservation of momentum they both have to travel in opposite directions. Thus at the same time the circular light-detector around this material will find a particle at opposite sides. Both these photons are entangled, because if we only measure one on one site we immediately know which direction the other one went. So I first thought that only those two things were entangled. However a whole sphere with at its center the positron-electron annihilation is entangled and expanding with the speed of light.

The best way to visualise what is happening BEFORE photon detection is to see a quantum mechanical spherically symmetric wave expanding out of the annihilation and the detecter eventually collapsing that wave to two points. All the locations are entangled with each other at the surface of the sphere, because not only does the opposite part need to know to show a particle, all the other points on the surface of that sphere have to ‘know’ to NOT show a particle. I hope that makes sense.

The gif is a bit what I mean: http://www.rakeshkapoor.us/ClassNotes/HTMLFiles/Waves-II_1-Animate.gif

Not only are two particles entangled, but the whole surface of that sphere is inherently entangled.

 

How would you derive the wave indeterminacy relations?

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With wave indeterminacy I mean the following inequalities:

Also I wonder if you can just plug in the Quantum Postulates:

I also wonder what the connection with the Cauchy-Schwarz inequality is or triangle inequality.

Other uncertainty relations:

Also here is an interesting article:

http://iopscience.iop.org/article/10.1088/1367-2630/6/1/103

Intuitive mathematical understanding of the Einstein Field Equations.

http://physics.stackexchange.com/questions/179082/laymans-explanation-and-understanding-of-einsteins-field-equations

https://www.quora.com/What-is-an-intuitive-explanation-of-the-Einstein-field-equations

Interesting powerpoint slides about Rindler Horizons

Click to access dstanley_relativistic_rocket.pdf

Relativity derivaiton

Click to access 20108118256119320.pdf

http://physics.stackexchange.com/questions/137547/why-do-we-write-the-lengths-in-the-following-way-question-about-lorentz-transfo/137655#137655

Click to access 1504.02423.pdf

 

Different wordings of the Second law:

So:

Here is a lot of different formulaties of the second law:

1. Entropy tends to increase
2. A perpetuum mobile doesn’t exist
3. You cannot exactly retrieve a glass of water thrown into the ocean
4. Entropy hides the actions of the univers
5. It is the amount of energy unavalaible to do work
6. Heat tends to flow from hotter to colder bodies.
7. A coffee cup cannot spontenaously heat up.
8. Entropy of the universe tends to a maximum
9. There is no use in crying over spilled milk
10. entropy is a measurement for reversability of a process
11. You cannot perfectly isolate a room

To be continued

Interesting viewpoint on hawking radiation

So:

I scanned Hawkings book in a book store quickly, and saw that he showed that hawking radiation can be seen as particle-antiparticle creation near the horizon or a particle travelling back in time to get out of the black hole, and converting into a particle travelling forward in time

Cool gif about the earth struck by solar radiation burst

https://i.imgur.com/VlN1In1.gifv

Explanation of what theoretical physics is for physicists

So:

Imagine being stuck in a museum of the most beautiful artist you have ever heard.

For the museum part: you are stuck there and only can be able to view 4 art piecs. However there is a door in the museum you can’t seem to open. On the door is a puzzle, and if you solve it, you are allowed to enter the next part of the museum to marvel over the beautiful pieces of art there. So you do your best to solve the puzzle, which is driven by the fact you love the artists art so much and the fact you actually like the puzzle. After years of trying, you solve it! In ecstacy you enter the next room and you look at all the wonderfull art. However, then there is another door with a puzzle!! You solve it and go on to the next room, which has beautiful art but another door puzzle! Will it ever end? Will you ever understand the artist drives and desires? Maybe one day you can meet the artist? Maybe one day he can meet the director of the museum and ask why this all exists?

With artist I mean spinoza’s god, and with art I mean physical experiments and theories. The puzzles are the pondering questions that get posed by theories for example the experimentally found photoelectric effect which couldn’t really be explained by theories and literally puzzled scientists.

Adding to the analogy I actually think the rooms of museums are filled with wealth, gold, food and prosperity. Because every advancing of science brings huge technological advance with it. And technology is wealth! However, a true theoretical physicists knows this but deep in his heart only wants to understand and marvel at the art of the artist. In this way theoretical physics is one of the most beautiful art that can possible exist.

http://krollermuller.nl/media/image/file/_dsc7584aweb.jpg?2-9-1

Explanation of weird effects of water

 

I never visualized the water molecule like a tetrahedron!