R-layer Mode Theory (RLMT) Volume XIV develops the quantum informational structure of the R-layer, completing the third pillar of the unified R-layer Mode Theory: tension as information. Building on the structural and gravitational pillars established in Volumes XII and XIII, this volume introduces R-qubits, analyzes the entanglement structure of tension modes, and interprets gravity as a manifestation of information geometry. The R-layer is treated as a quantum information substrate, with its internal coordinate σ defining a Hilbert space and its wavefunction Ψ(σ,r,t) encoding both physical tension and quantum information. This leads to: a Hilbert space Hσ⊗Hr, entanglement between tension and geometry, an information-theoretic interpretation of the Schrödinger–Poisson system, long-range entanglement mediated by gravity, a multi-scale entanglement hierarchy from parsec to cosmic scales. The two minima of the Mexican-hat potential define a natural two-level system, giving rise to R-qubits, which support: coherent superpositions, quantum gates via deformations of the tension potential, spatially extended qubits across galactic and cosmological distances, gravitationally mediated entanglement and communication. The volume further develops: information flow as tension dynamics, gravity as the classical projection of quantum information, holographic scaling of R-layer entropy, analogies with neural and cognitive systems, speculative applications to R-layer quantum computing. Volume XIV synthesizes tension, gravity, and information into a single unified framework, presenting the R-layer as a horizonless, nonsingular, information-theoretic foundation for cosmic structure, gravitational dynamics, and quantum information flow.
Tsuyoshi Tohi (2026) studied this question.