David Tong is Wrong: Neither Discrete Nor Continuous: Noncommutative Phase origin of spacetime

David Tong gives a Royal Institute lecture on quantum fields

He is very insistent that the origin of reality is a continuous (therefore symmetric) mathematics.

Alain Connes sums up the situation differently.

These diverse points of view are all corollaries of that of Heisenberg: physical quantities are governed by noncommutative algebra.

So it is quite remarkable that David Tong does not acknowledge this truth of reality!! And why? Because of the deep symmetric bias in Western mathematics and philosophy of science.

What we find is a geometric space that is neither a continuum nor a discrete space, but a mixture of both.

Connes gives an excellent history of the science involved, stating that Heisenberg arrived at the noncommutative math from the experiment spectroscopic data - not realizing that the noncommutative math had already been formalized by mathematicians. It was Pascual Jordan who realized the mathematics already existed and it was Pascual Jordan who also argued for an "amplification" of this noncommutative quantum "spark" into the macroquantum realm.

When Dirac read Heisenberg's work -

Dirac was so exited that he broke his rule of saying nothing about his work to his parents and did his best to explain non-commutation. He did not try again.

Unlike Heisenberg, who had never come across non-commuting quantities before, Dirac was well acquainted with them - from his studies of quaternions, from the Grassmann algebra he had heard about...from his extensive studies of projective geometry...

The Strangest Man: The Hidden Life of Paul Dirac, Mystic of the Atom

 And so it is Alain Connes who realizes that music theory, "acoustic systems" actually model the noncommutative quantum sphere - the Bloch Sphere - that has a geometric dimension of zero due to the noncommutative spin as the foundation of reality.

  Each vibration includes a “bing” moment (Hameroff’s metaphor for the moment of conscious awareness) and also a “silence” period. The “silence” contains the “phase”, and this holds the true information about the geometric shape of the particular time cycle. A band of frequencies always make a circular strip as it always vibrates periodically.

Interview with Dr. Anirban Bandyopadhyay

So this is the Bloch Sphere - as Dr. Bandyopdahyay replied to me in correspondence no one can know the original phase of the Bloch Sphere of the universe - and this is due to noncommutative time-frequency energy as the 5th dimension - or noncommutative phase as the 5th dimension.

As Harald Wallach, et. al., note: Synchronistic or Psi Phenemona as Entanglement Correlations in General Quantum Theory, pdf

Planck's constant h which controls the degree of noncommutativity in ordinary quantum theory, does not enter into Generalized Quantum Theory. Hence, macroscopic effects of complementarity and entanglement are to be expected under suitable circumstances.

And so Dr. Ruth E. Kastner pdf - details how the supposed "time symmetric" retrocausal quantum entanglement models do not allow for dynamics, but instead are static.

Reality originates from asymmetric or noncommutative time-frequency energy resonance i.e. noncommutative phase.

The distinction that Leibniz makes here between the ‘im-

perfect’ modes and the unconstrained perfection of the universe echoes well with

modern physics in terms of the concept of asymmetry. Moreover, whereas the regu-

larities that underlie modes are constant and involve continuous variables, instances

of modes themselves, coming as they do in discontinuous units, cannot be described

entirely in terms of the constant regularities. They are significantly unpredictable.

It is intriguing that Leibniz considers inertia an ‘imperfection’, but it is intriguing

that inertia is now looking to be related to the way modes interact with what would

otherwise be a symmetrical uniform Higgs field, generating asymmetries not only in

the Higgs field but in spacetime itself. Note that inertia was about the only physical

property other than shape and motion that was well recognized in Leibniz’s time.

So Leibniz’s physical universe is asymmetric one: to accomplish this universe

the symmetries between the individualities must be broken.

Another essential and fundamental motivation behind the work of A. Connes on the non commu-tative geometry is his discover of the fact that :

Noncommutative measure spaces evolve with time!

Non Local Geometry : From Leibniz's Perceptual Monadologie to Leibniz-Connes's Spectral Space (PDF Download Available). Available from: https://www.researchgate.net/publication/285580320_Non_Local_Geometry_From_Leibniz's_Perceptual_Monadologie_to_Leibniz-Connes's_Spectral_Space [accessed Oct 27 2017].

Connes:

Most of my work has been an attempt to take this discovery of Heisenberg seriously.

and he add

On reflections, this discovery actually clearly displays the limitation of Riemann’s formulation of geometry. If we look at the phase space of an atomic system and follow Riemann’s procedure to parametrize its points by finitely many real numbers, we first split the manifold into the levels on which some particular function is constant, but we then need to iterate this process and apply it to the level hypersurfaces. However, according to Heisenberg this doesn’t work because as soon as we make the first measurement, we alter the situation drastically. The right way to think about this new phenomenon is to think in terms of a new kind of space in which the coordinates do not commute. (A. Connes [15])