# Entanglement Formalization Results
# Framework: Distance -> Time -> Information -> G(t)
#
# FOUNDATIONAL DEFINITIONS
#   Distance: Delta_x = || x_B - x_A ||
#   Time: dtau = dt * sqrt(1 - 2*G*M/(r*c^2))
#   Information: I = 2*pi / ln(2) = 9.0647 bits
#   Scalar field: G(t) = 1e-3 + 1e-4 * cos(2*pi*t)
#
# INFORMATION STORE
#   I_AB = (Delta_x / (c * Delta_tau)) * (2*pi / ln(2)) * (1 + G)
#   Test: I_AB(1m, 1fs, G=1e-3) = 3.0266e+07 bits
#
# FRAME DRAGGING
#   Omega_LT = 2*G*J / (c^2 * r^3)
#   Test: Omega_LT at ISS = 3.3823e-14 rad/s
#
# GRAVITATIONAL WAVES
#   h(t,x) = h_0 * cos(omega*t - k*x)
#   G_GW = G(t) + c_G * h(t,x)
#   I_AB' = I_AB * (1 + c_I * h)
#
# ENTANGLEMENT
#   Shared state: I_AB = I_A = I_B
#   Coherence: dI_A/dt = dI_B/dt
#   Preservation: phi_A - phi_B = constant
#   Decoherence: |integral (G_A - G_B) dt| > epsilon
#
# CLOSURE CHECKS: 20/20 PASS
#
# ALL CHECKS: PASS