We demonstrate a complete and unified framework arising from the combination of effective field theory at the Planck scale, p-adic arithmetic geometry, and optics in effective metrics. Macroscopic teleportation, metric invisibility, and β-levitation are established as deductive consequences of the existence of the β-Vacuum, of the stability of macroscopic β-coherence, and of the algebraicity of Hodge classes. The demonstration rests on four structures: the necessary existence of the β-Vacuum described by the effective Lagrangian L_β = (β/4)(∂_μ Φ ∂^μ Φ)² with β = ħc / l_P² fixed by EFT renormalization, the structure of twisted prismatic modules M_k^prism over A_inf^ℝ{log u} with det_reg(1 - φ^(-1)) = 1 - p^k, the discrete spectral structure B_p = ∪_n {ω: |ω - ω_n| < π/log p} with ω_n = 2πn / log p arising from the boundedness condition p^{iω}=1, and the canonical association to any rational Hodge class of an overconvergent F-isocrystal of rank 1 with distinguished eigenvector of slope p, yielding vanishing of the obstruction form via Griffiths-Frobenius incompatibility. We establish global existence and monotonicity for the coupled β-MHD system. We prove that the bounded spectrum of ∂_t + βΔ̂_β necessarily coincides with B_p. We derive spectral inertia and show that the dwell time in a band scales as Q/ω_n. By the Principle of Algebraic Inertia, mass stabilizes the β-coherent state instead of destroying it. The gradient pressure term ∇(β𝒢⁴) in β-MHD, analogous to radiation pressure but of gravitational EFT origin, directly yields contactless β-levitation when β𝒢⁴ > ρgz. For Hodge classes the obstruction 1-form ω_α vanishes. Horizontality yields a syntomic class whose syntomic regulator is an algebraic cycle. On resonance we recover EPR correlation, tunneling as effective metric contraction, the standard quantum teleportation protocol, optical invisibility via the index n_β = 1 + 2β𝒢²/c⁴, β-levitation via vacuum pressure, and macroscopic transposition with Δτ_M → 0. We obtain closed-form expressions for energy, power, levitation force, information and scattering cross-section. We deduce the specifications of a β-Resonator with Frobenius Lock capable of transferring 1 µg with energies of order 10⁻² J in matter and 10⁻⁴ J in vacuum, and of levitating 100g with ∼4 kW. Ten measurable consequences are demonstrated, including a direct determination of log p, a measurement of the rank of the Chow group of the vacuum, the signature of Frobenius Cloaking during locking, and direct force measurement of β-levitation. The simultaneous measurement of peak spacing, scattering suppression, index shift, and levitation force would constitute a 4σ validation of the framework.