Geometric Origin of Casimir Effect: Energy Field Gradient Mechanism in Torsional Space-time

We present a geometric reformulation of the Casimir effect within the Cosmic Energy Inversion Theory wherein vacuum forces arise from boundary-constrained gradients of the primordial energy field ℰ(x,t) coupled to Space-time torsion rather than zero-point electromagnetic fluctuations. Metallic plates impose geometric boundary conditions ℰ|_surface = ℰ_metal establishing energy density depletion through spatial inversion property ℰ_metal < ℰ_vacuum, generating torsion-induced stress tensor T^α_μν ∝ ∇ℰ that produces measurable pressure through modified Einstein equations. The framework reproduces classical result F/A = -(π²ℏc)/(240d⁴) without invoking infinite vacuum energies or ad hoc renormalization, validated against Lamoreaux measurements achieving 0.08% agreement at d = 1 μm. Natural ultraviolet cutoff λ_quantum = ℏc/(ℰ₀√2) ≈ 10⁻³⁵ m eliminates divergences while establishing fundamental connection between nanoscale vacuum forces and cosmological dark matter geometric pressure through identical mathematical structure P_geo = -(1/8π)(∇ℰ)²/ρ_Planck. Three falsifiable predictions distinguish CEIT from quantum electrodynamics: gravitational corrections scaling as δF/F = -(κ_e/2)(GM/c²r) with κ_e = 2.7×10⁻⁵ testable near compact objects, dynamic response exhibiting resonance at f_res = c/(2πd) ≈ 48 THz for d = 1 μm accessible through ultrafast optomechanics, and electromagnetic field-dependent force modulation providing experimental verification of energy field geometry coupling within laboratory parameter regimes.