Beyond the Light Speed Barrier: A Path from Smarandache’s “No Speed Limit” Hypothesis to Macro Quantum Soliton in the Solar System

Smarandache’s “no speed barrier” hypothesis proposes that, in principle, no physical entity is fundamentally constrained to travel slower than any prescribed velocity [1,2]. While the idea is quite simple and based on known hypothesis of quantum mechanics, called Einstein-Podolski-Rosen paradox, in reality such a superluminal physics seems still hard to accept by majority of physicists. Nonetheless, several strands of modern physics—Bell inequality violations, the ER = EPR correspondence, and the emergence of topological solitons in low temperature condensed matter systems—suggest theoretical routes that could be explored in a macro quantum setting. We discuss here among other things, how to find theoretical correspondence between Falaco soliton as a known solution of Navier-Stokes equations and Anosov-Liouville pair, in particular for macroscale quantum systems such as superconductors [3,4]. While for several readers, discussions that we explore in the present article would sound off the topic, or merely a fringe physics exploration, we consider it as a possibility and also as continuation to our preceding articles, see for instance [2,4,13].