M. C. Escher's Hands Drawing Hands / Weinstein's Geometric Unity / Spinors

During this talk on his theory of Geometric Unity (TOE) with Lex Fridman, Eric Weinstein brings up M. C. Escher's drawing 'Drawing Hands' as the concept/problem of the origin of everything ...

 

... well a Dynamic Foam solves this.

Vortex Flow Control Devise

 

Wait for it.

Sperm Spinners / Photons

There are new findings showing that sperm doesn't swim forward, but rather spins forward like a corkscrew.

(Ref. How human sperm really swim: New research challenges centuries-old assumption )

This is similar to my hypothesis of how Photons are fig. 8 knots that screw their way through Space, like a propellor:

(Larger version 41Mb)

'Walking droplets’ that act like QM / Unification Trefoil Knot

I recently received two great leads from Shiva Meucci a fellow enthusiast of Knots in an Aether,  who has also written a paper on History of the NeoClassical Interpretation of Quantum and Relativistic Physics.

--

The first one is a must see presentation by John W. Bush of MIT, proposing a novel Trajectory-Based Description of Quantum-Dynamics, inspired by the Hydro-Dynamics of Walking Droplets:

Replace his 'Walking Droplets' with spiralling Torus Knots et voilà we have self-propelling/walking 'particles' (QM) ...

... that also curve space thanks to the compression at their centers (Gravity),

... and we get Unification.

--

The second one is a paper by Dr. Mrittunjoy Guha Majumdar from the University of Cambridge on:

"Unification of Gauge Forces and Gravity using Tangled Vortex Knots"

Compilation of 3D (spiraled) vortex rings - Schrödinger Equation

by MiMo

(Use Chrome to activate Shaders)

Vortex Rings / 3D Landau-Ginzburg

Ref. https://www.shadertoy.com/view/wtScD1
by MiMo

(Use Chrome to activate Shaders)

3D Landau Ginzburg / Staring into the Abyss

One step closer.

https://www.shadertoy.com/view/wtScD1

by MiMo

(Use Chrome to activate Shaders)

https://youtu.be/wO7Vyhy0iXs

--------------

Edit:

So this is what the internal dynamics of the Dynamic Foam kind looks like. 

Pulsating bubbles driven by the fluid in the edges:

 There is a model that seems to resemble this (by MiMo):

Let's assume that the number of bubbles tends to infinity and and the state of the foam can be approximated by average pressure and flow intensity(with no direction, since the edges have arbitrary directions in average)

So we have scalar fields P(x,y,z,t) and I(x,y,z,t)

If we assume that the dynamic interaction between P and I resembles a wave (pressure induces flow -> flow induces pressure) and are out of phase by 90 degrees(sin / cos) we can describe the foam state like a complex field Psi

Psi(x,y,z,t) = a*P(x,y,z,t) + imaginary_unit*b*I(x,y,z,t). a and b are some arbitrary constants that define how strong pressure induces flow and flow pressure;  

The simplest equation for a wave like that is the Schrodinger Equation

imaginary_unit *speed_of_change_of_Psi = - (average_Psi_around_this_point - Psi)/surface_of_unit_sphere + some_function_of_Psi;

For a special function of Psi, that basically defines how pressure interacts with the flow in this current bubble, we can get quantized vortices, the smallest stable of which are exactly torus vortices(!)

Wyatt has already made a simulation of that equation in 2d and 3d.

3D -  https://www.shadertoy.com/view/wltGWN

2D -  https://www.shadertoy.com/view/3s3SzN   

The last thing left to do is just to rewrite the equation from average bubble flow and average bubble pressure for each bubble. And that's basically it. Its not that hard, but there may be some instabilities related to the fact that the foam is not completely uniform(as in the assumption of the averaged out foam from above).

-

L-G uses a ‘probe field’ as a trick to get these vortices:

http://stanford.edu/~jeffjar/statmech2/week4a.html