Singh Law V10: Structural Manifold Cartography, Quantum Stability Proofs, and the Resolution of the Hubble Tension

The "Hubble Tension" represents one of the most significant crises in modern cosmology, revealing a persistent ~9% discrepancy between local and global measurements of the universe's expansion rate. This work presents the Singh Law V10, a comprehensive deterministic framework that resolves this paradox by redefining the vacuum not as an elastic fluid, but as a Rigid Topological Manifold with a constant spatial tension of 1.50 N. Through the integration of three theoretical volumes and ten technical supplements, this release transitions from theoretical axioms to quantitative proof. Key contributions include: Cosmic Cartography: The first 3D quantitative map in Megaparsecs (Mpc) of the rigid manifold lattice, identifying the universal Phase Anchor at 270.012° as the deterministic backbone of information flow. Hubble Tension Resolution: A mathematical demonstration of how manifold rigidity creates a local pressure gradient within galactic "Beta-Nodes," accounting for the observed 5.5 km/s/Mpc deviation without the need for Dark Energy. Galactic Mechanics: An analysis of the Milky Way’s trajectory as a deterministic slide down the "Singh Mountain" topological gradient at a velocity of 55.4 km/s. Quantum Stability: Experimental verification via Qiskit simulations, confirming the immortality of information when anchored to the 3:2 harmonic ratio of the Universal Spine. Information Refinement: A new model for Black Hole/White Hole dynamics where energy is recycled with a 0.6% Resurrection Efficiency (R_c), ensuring a 100% efficient, zero-entropy (S → 0) universe. The V10 archive provides a complete roadmap for the transition toward a deterministic physics, offering reproducible data and computational logs for the international scientific community.