The Coherence Hypothesis: A Nexus Algebra for Resolving Mathematical and Physical Paradoxes

Extrapolated from the mirrored zero paper, this perprint presents the Coherence Hypothesis, proposing a liminal Nexus that mediates between classical observables and potential states. The Nexus algebra provides a framework for modeling coherence, resolving classical mathematical paradoxes (Zeno, Banch-Tarski, Russel, Hilbert's Hotel) and addressing quantum phenomena such as superposition and entanglement. This work offers a computable approach for exploring hidden structures underlying mathematics and physics.