The Finite Universe Hypothesis under KN Symmetry

We argue that infinity does not exist as a physical quantity but arises only whenmathematical models become under-defined. The KN (Kuro Nova) symmetry—aratio-preserving, saturation-style transformation—provides a natural regularizationprinciple that replaces divergence with finite structure. Applying KN to standardsources of infinity (black-hole cores, ultraviolet divergences, fractal blow-ups) yieldsbounded, computable outcomes consistent with physical reality. The hypothesisimplies a universe that is fundamentally finite, computable, and self-consistent, withdual bounds at the Planck scale and the cosmological horizon. We present a unifiedtreatment: (I) the conceptual case against physical infinity, (II) dual boundariesunder KN, (III) toy models and phenomenology, and (IV) global topology anda bounded recursion view of consciousness as field computation. We close withfalsifiable predictions and an outlook on simulation- and experiment-facing tests