A model-independent no-go theorem has been derived from a set of natural assumptions. It demonstrates that any theoretical framework allowing superluminal transformations that violate causal order must forgo at least one of the following: finite information, temporal symmetry of information content, the ability of the past to store memory, or the idea that time picks out a unique causal sequence. In particular, theories accommodating such transformations necessarily imply an ontology with unbounded information content — akin to deterministic classical theories that employ real numbers. Consequently, any ontic uncertainty associated with superluminal transformations cannot originate from the finiteness of information.
According to the laws of physics, nothing can outrun light, otherwise for some observers the effect would occur before the cause. Artur Ekert and Andrzej Dragan showed that this situation creates an uncertainty resembling quantum indeterminacy. Now it's proven: to preserve the order of events, any system with superluminal leaps must have a boundless amount of information—or lose its memory and a single chain of causes.
The world turns out to be like a recipe where, to keep the steps in the right order, you need to know every ingredient with infinite precision—otherwise the dish is ruined. That means, at the deepest level, reality stores an immeasurable volume of data, and quantum randomness is only an illusion. This idea was anticipated by Hendrik Lorentz. The most astonishing part: almost all numbers that would be needed for such a description cannot be written as a finite formula—they contain an endless, unpredictable noise of digits. So spacetime keeps serving up surprises.
🎯 Almost all real numbers cannot be written as a finite formula—they store an infinite amount of unpredictable digits, like a hidden ocean of information.
🎬 Stories about faster-than-light travel—from Wells's Time Machine to Star Trek episodes—play with the same puzzle about the order of events.