Wednesday, April 15, 2020

Taji=Wuji: Because you can not see it as Space: Donuts as Noncommutative Torus for SuperDense Quantum Entanglement Signals via Alain Connes Noncommutative and De Broglie Law of Phase Harmony

“What makes our new scheme work is a restrictive set of states. The analog would be, instead of using a sphere, we are going to use a torus, or donut shape. A sphere can only rotate on an axis, and there is no way to get an opposite point for every point on a sphere by rotating it—because the axis points, the north and the south, don’t move. With a donut, if you rotate it 180 degrees, every point becomes its opposite. Instead of axis points you have a donut hole. Another advantage, the donut shape actually has more surface area than the sphere, mathematically speaking—this means it has more distinct points that can be used as encoded information.”
So this was created by my quantum mechanics professor Herbert J. Bernstein

So they are refining the model for testing.

 The protocol uses pairs of photons that are “hyperentangled”—simultaneously entangled in more than one state variable, in this case in polarization and in orbital angular momentum—with a restricted number of possible states in each variable.
Now they say it's a 6 dimension object that can not be seen because of the above two variables entangled in the 3D torus donut.

So as Alain Connes points out in this video lecture - the torus as donut is therefore noncommutative phase - vid

 In superdense teleportation of quantum information, Alice (near) selects a particular set of states to send to Bob (far), using the hyperentangled pair of photons they share. The possible states Alice may send are represented as the points on a donut shape, here artistically depicted in sharp relief from the cloudy silhouette of general quantum state that surrounds them. To transmit a state, Alice makes a measurement on her half of the entangled state, which has four possible outcomes shown by red, green, blue, and yellow points. She then communicates the outcome of her measurement (in this case, yellow, represented by the orange streak connecting the two donuts) to Bob using a classical information channel. Bob then can make a corrective rotation on his state to recover the state that Alice sent. Image by Precision Graphics, copyright Paul Kwiat, University of Illinois at Urbana-Champaign






In the diagram, the fiber over z ∈ Z is the noncommutative torus A f (z) , which is represented by a foliated torus, with foliation angle equal to f (z).

The Wuji=the Taiji as noncommutative phase of the torus.
 On Mysteriously Missing T-duals, H-flux and the T-duality Group



Bacry, H. (n.d.). The resurrection of a forgotten symmetry: De broglie’ s symmetry. Lecture Notes in Physics, 331–338. doi:10.1007/3-540-54040-7_126 


http://www.maths.qmw.ac.uk/~majid/Books/Entries/2018/12/31_qrg.pdf


















No comments:

Post a Comment