Why does nature love spirals? The link to entropy

Can someone please help explain the underlying concepts so a mere mortal can understand them?

"the total information that could be stored in a region of space was proportional to its energy and its size." or "the sphere that can enclose it."

This sounds like computational complexity theory had a baby with quantum physics, but makes some intuitive sense. After all, both the information and entropy contents of a given volume of spacetime must be less than infinite, and related to the inhabiting mass/energy both of which have singularity limits.

These guys are saying the total info of a given volume of spacetime is not a sphere, its the sphere minus another sphere (the mass's Schwarzschild radius (gravity?)), which leaves a toroid in which the Heisenberg uncertainty principle is implied to be spiral motion around said donut?

"But when entropy is properly understood through the toroidal structure, the inequality dissolves into an exact relation:

Δx Δp = (Atorus) / (4π ℓpl2) ħ.

This equation, simple yet profound, tells us that what we have long regarded as uncertainty is, in fact, structure."

The math is beyond me.

Does this really resolve the Heisenberg uncertainty principle in practice?