Direction for Solving the Millennium Prize Problem of Turbulence

There is a Millennium Prize problem which asks given any smooth, divergence-free initial velocity field in three dimensions, prove or provide a counterexample that the incompressible Navier–Stokes equations always admit a globally defined, smooth solution. Solving this would furnish a rigorous foundation for understanding and predicting turbulent fluid flows, long considered one of the deepest open questions in classical physics and allegedly a million dollar prize.

In my previous work, I connected the problem of turbulence and magnetohydrodynamic instabilities to physics at the Planck scale, predicting that Kolmogorov scaling laws of high-Reynolds-number turbulence can be understood as manifestations of microscopic “spacetime foam” or fluctuations (predicted by Loop Quantum Gravity) via a holographic counting of degrees of freedom in 3+1 dimensions, which is dual to the 2D Monster CFT, corresponding to the UV fixed point in Asymptotically Safe Gravity and entropic bounds predicted by entropic gravity and the Ryu-Takayagani formula. In Majorana systems exhibiting energy statistics modeled by the Riemann zeta function and Hilbert-Polya conjecture, Monster symmetry enforces the critical line of the Riemann hypothesis at the critical point.

Since the 2D Navier-Stokes equations are known to be smooth and divergence-free (proved by Olga Ladyzhenskaya), and solutions approach a 2D fixed point at and near singularities in quantum gravity, then this 2D prediction should extend across scales and dimensions - thus solving the Millennium prize problem. Indeed, there have been many connections made in literature between the Navier-Stokes equations and quantum chaos as well as nonlinear dynamics - at the intersection of theories that are probabilistic and those which are deterministic - as one might expect from quantum gravity. The Navier-Stokes equations even resemble Renormalization Group Flow. Understanding this phenomenon would pave the way for understanding macroscopic quantum-like behaviors that nonetheless ostensibly have deterministic origins, like quantum chaos, social and economic phenomenon, intrabrain synchrony, the behavior of solar flares, and even atmospheric flows.

Intuitively, this approach makes sense - the equations that model the flows of liquid should be bound by the same limits one would expect from the most fundamental theories in physics.

I came across two papers today that seem to vindicate this idea:

[0806.0030] Turbulence and Holography

4937f3b81b1a706e35381b3da2104b57

I have reached out to Peter J. Carroll, one of the founders of the esoteric Chaos Magick order - Illuminates of Thanateros, with these ideas, as I thought it might be interesting to frame these ideas in physics through the fun esoteric symbolism of Magick. He has agreed to the possibility of writing a joint book on these topics.

Quantum chaos - the study of macroscopic quantumlike behaviors - intersects with deterministic nonlinear dynamics - and at the critical juncture - which may be described by the critical line of the Riemann zeta function, there may be unexplored physics that will shed light on the problem of turbulence as well as the Riemann hypothesis.

https://arxiv.org/html/physics/0102028