Modified THZ Action and Quantum Non-locality: Derivation of the Superluminal Speed V_eff from the Recurrent Hierarchy of FQHP (Correction)

AbstractThis work presents a mathematical formalisation of quantum non-locality within the Fractal Quantum Holographic Paradigm (FQHP). A modified Trojan–Hopfield–Zi (THZ) action is proposed that splits physical reality into two channels: a projection channel (speed of light c) and an information channel (effective processing speed V_eff). It is shown that V_eff is derived from the Lloyd limit and the hierarchical suppression factor 2^N, where N = ln(R_obs/ℓ_P) ≈ 141.5 is the total number of levels in the fractal hierarchy of the barrier. The obtained value V_eff ≈ 1.76·10^63 ops/s is fully consistent with the axiomatics of FQHP 3.0. The recurrence sequence and parameters of deep fractal packing (D₂ = 2.72, N_H = 42, η = 0.72) determine the topology of entanglement channels but do not alter the numerical value of V_eff. Quantum entanglement is interpreted as a physical process of information transfer through the highly connected deep level, which explains the “advanced rendering” effect without violating causality.Note on version: This is version 2.0 (corrected) of the preprint. Version 1.0 contained an erroneous derivation of V_eff ≈ 10^91 ops/s via I_active. In version 2.0, this derivation has been replaced with the correct one, consistent with FQHP 3.0 and preprint [3]. The value V_eff = 1.76·10^63 ops/s is obtained from the Lloyd limit and the hierarchical suppression factor 2^N. All other sections remain unchanged.