Bulk Orientation Parameter Θ Drives Entanglement Entropy Variations and Metric Perturbations: A Holographic Mechanism with Warp Projection to NFW-like Dark Matter Profiles

We introduce a bulk orientation parameter Θ that modulates the modular Hamiltonian ⟨K⟩, inducing variations in entanglement entropy δS. Via the Ryu–Takayanagi formula these shifts generate metric perturbations δh₀₀. When projected through a Randall–Sundrum warp factor, the effective density reproduces the NFW dark matter halo (RMS deviation ≈ 0.021 in 5–50 kpc). The model is consistent with CMB bounds (ΔN_eff ≪ 0.3) and proposes laboratory detection via optomechanical arrays measuring entanglement entropy rather than direct gravitational signals. This is an independent research preprint (no institutional affiliation).