The Topological Resonance Hypothesis v6.1: Bounded Randomness, the Macroscopic Barrier, and the Unified Dark Sector

This work introduces the term 'Bounded Randomness' as an original conceptual framework by the author, defining randomness as a computational resource constrained by physical budget. V5. 4 adds a formal critique of gradient decoherence models (Section 4. 2), introduces the Entanglement Density parameter DE formally linked to von Neumann entanglement entropy, and establishes the Planck time as the absolute lower bound on the phase transition timescale. V6. 1 introduces the Macroscopic Restrictive Barrier — a thermodynamically irreversible stabilization mechanism explaining structural integrity of macroscopic objects — formalizes the Unified Dark Sector as two opposing consequences of a single unknotting process, adds the Correspondence Principle bridging the hypothesis to standard Quantum Mechanics, and clarifies that unrealized probabilistic branches are strictly virtual computational possibilities, not parallel realities.