The Ultra-Violet Catastrophe vs 2nd Law of Thermodynamics

Classical physics peaked in the late 19th century with Maxwell's equations aiming to describe all of electromagnetics as a form of continuum wave mechanics, but crumbled when confronted with the Ultra-Violet Catastrophe UVC of heat radiation from a body of temperature $T$ scaling like $T\nu^2$ with frequency $\nu$ threatening to turn everything into flames without an upper bound for frequencies, because wave mechanics did not seem to offer any escape from UVC.  

Planck took on role of saving physics from looming catastrophe, but could not find a resolution within deterministic wave mechanics and so finally gave up and resorted to statistical mechanics with high frequencies less likely in the spirit of Boltzmann's thermodynamics and 2nd Law with order less likely than disorder. 

There is thus a close connection between UVC and 2nd Law. Boltzmann would say that the reason we do not experience UVC is that high frequencies are not likely, but the physics of why is missing. Explaining that UVC is not likely would no explain why there is not any observation UVC whatsoever. 

I have followed a different route replacing statistics by finite precision physics for UVC (and similarly for 2nd Law), where high frequencies with short wave length cannot be radiated because finite precision sets a limit on the frequencies an atomic lattice can carry as coordinated synchronised motion. In this setting UVC can never occur.

A basic mission for a 2nd Law is thus to prevent UVC. This gives 2nd Law deeper meaning as a necessary mechanism preventing too fine structures/high frequencies to appear and so cause havoc. 2nd Law is thus not a failure to maintain order over time, but a necessary mechanism to avoid catastrophe from too much order. 

Similarly, viscosity and friction appear as necessary mechanisms destroying finite structure/order in order to let the World to continue, and so not only as defects of an ideal physics without viscosity and friction. This is the role of turbulence as described in Computational Turbulent Incompressible Flow and Computational Thermodynamics.

We can compare with the role of interest rate in an economy with zero interest rate of an ideal economy leading to catastrophe over time. If there is no cost of getting access to capital, any crazy mega project could get funding and catastrophe would follow. This was the idea 2008-2023 preceding the collapse predicted to 2025. Too little friction makes the wheels turn too fast. Too much idealism leads to ruin.