https://pdfslide.net/reader/f/kernel-methods-on-riemannian-manifolds-vggrgslidesoxford-mar-2014pdf-kernel |
The noncommutative Quantum Sphere has a ZERO geometric dimension.
So the chordal distance can not be "seen" but rather is between two Points as arithmetic distance of time-frequency that is noncommutative. So it's not a commutative geometric LENGTH.
Alain Connes:
For instance when Riemann gave his undergrad talk, he was very on the fact that in Riemannian geometry there is no longer point at the very very small scale. And so had already foreseen developments that came much later, in particular in noncommutative geometry. For example the motion of light no longer makes sense... whereas in this notion the function... there's also deviations....
Spacetime is no longer purely continuum. It's a mixture of the Continuum and the Discrete. So this was a lesson which very very strangely forced the change of the Riemann paradigm... of course Riemann couldn't force it because it involves quantum mechanics.So the new paradigm of geometry is very close to the Riemannian part but there are nuances from the quantum, from the formalism of quantum mechanics which was discovered by von Neumann.
https://elixirfield.blogspot.com/2020/11/alain-connes-interview-transcribed-due.html
"like Fermat's Last Theorem - that it can't be proved by this procedure" -
Sir Roger Penrose on Pythagorean Incompleteness Theorem and Kurt GodelTime = Distance / Speed.
So then the Matrices are converted to distance:
So relativity assumes that time can be symmetrically divided in order to derive the distance at the speed of light.
Lou Kauffman doing the Dirac Dance aka qigong
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