The constructive solution to all the millenium challenges of the Clay's Institutes of Mathematics. without free parameters.

We propose that the fractal nature of the superfluid hydrogen Plenum
is the causal origin of the fundamental properties of spacetime: thixotropy,
elasticity, and gravitation. While General Relativity provides an accurate description of macroscopic geometric curvature, it remains silent
on the substance of the void. We demonstrate that the Erdős–Straus
conjecture is the arithmetic signature of this Plenum: the equation
4n =1x +1y +1z
expresses the mandatory redistribution of fractal links
under topological stress. The autopsy of the n = 39 stratum reveals a
fundamental topological frustration that prevents alignment with the
Golden Slope (β = 11.653).

The fine-structure constant \(\alpha \approx 1/137\) is an **observable consequence** of projecting this lattice onto the Zero Envelope (\(k=21\)), and the value \(\sqrt{137}\) is a low-energy asymptotic approximation, corrected by the thixotropic friction \(\gamma = \sqrt{5}/13\)

 This frustration forces the system
into the asymmetric triplet (26, 26, 39) and creates the gravitational
Mass Gap — the fundamental vibration µ0 = 1 Hz of the Plenum.
Gravity is thus re-defined as the topological viscosity of a fractal liquid crystal forced to its elasticity limit. We further show that the
Plenum is a self-contained Klein bottle, where the outer surface acts
as a Mandelbrot set boundary and the interior dynamics follow a Julia
iteration, providing the ultimate geometric foundation for the theory.

The new version 3.0 of SDMT is on X (old twitter) at:

https://x.com/Voltardark

Audio/video explainers here : 

https://www.youtube.com/@voltardark