BKT–11C: An Operational Formalization of OCBH/GTCW Based on Dynamical Horizons, the Kerr–Hawking–BlackHawk Model, and an Observable Matrix

Title BKT-11C: Graphical Presentation of the Operational Formalization of OCBH/GTCW A Horizon-Channel Model for Dynamical Black Holes: Dynamical Horizons, Landauer Cost, Horizon Qubtons, and a Multimessenger Observable Matrix This graphical set presents the main components of the BKT-11C model: the operational formalization of OCBH/GTCW, the Kerr-Hawking-BlackHawk null model, the dynamical horizon as a local balance surface, the Landauer cost of transforming analog representation into horizon qubtons, the quantum-informational formalism of CPTP channels, and the gamma-neutrino-EM-GW multimessenger observable matrix. The material serves as a visual companion to the theoretical BKT-11C document. This graphical set is a visual companion to the work “BKT-11C: An Operational Formalization of OCBH/GTCW Based on Dynamical Horizons, the Kerr-Hawking-BlackHawk Model, and an Observable Matrix”. The slides present the main layers of the horizon-channel model for dynamical black holes, connecting nonequilibrium thermodynamics, Hawking evaporation, the Landauer principle, quantum information theory, and multimessenger astronomy. The central visual motif is a black hole treated as an input-transformation-output system. Input fluxes include accretion, angular momentum, magnetic field, stress-energy, and the cosmological environment. The transformation layer is described by a dynamical horizon, the Kerr-Hawking-BlackHawk model, and the hypothetical OCBH/GTCW horizon interface. Output channels include Hawking radiation, gamma-ray signals, neutrinos, electromagnetic emission, jets, and gravitational waves. The set compares the null model M0 and the extended model M1. The null model is written as: M0 = Kerr + Hawking + BlackHawk + BZ/GRMHD + multimessenger background The extended model is written as: M1 = M0 + Delta_OCBH/GTCW The null model is based on Kerr geometry, Hawking radiation, BlackHawk spectra, the Blandford-Znajek mechanism, GRMHD, and standard multimessenger backgrounds. The extended model introduces an additional horizon layer interpreted as an operational component associated with structural encoding, nonlocal couplings, and multichannel correlations. One slide presents the dynamical horizon as a local balance surface replacing the teleological event horizon in far-from-equilibrium regimes. It includes the dynamic-horizon variable set: H_dyn(t) = {A_DH(t), S_dyn(t), E_DH(t), J_DH(t), Omega_DH(t)} where A_DH denotes the area of the dynamical horizon, S_dyn denotes dynamical entropy, E_DH denotes quasilocal energy, J_DH denotes angular momentum, and Omega_DH denotes the angular velocity of the horizon. The local form of the second law of thermodynamics is written as: dS_dyn/dt >= Phi_in/T_dyn - Phi_out/T_dyn + sigma_prod >= 0 where Phi_in denotes the incoming flux into the dynamical horizon, Phi_out denotes the outgoing flux from the dynamical horizon, T_dyn denotes the effective temperature of the dynamical horizon, and sigma_prod denotes non-negative entropy production. The quasilocal energy-balance condition is written as: P_out <= P_acc + P_rot + P_field + P_evap where P_out denotes the total output power, P_acc denotes the power associated with accretion, P_rot denotes the power associated with rotation, P_field denotes field power, and P_evap denotes the Hawking evaporation component. The Landauer-cost slide develops the interpretation of transforming analog representation into horizon qubtons. In this layer, Hawking radiation describes thermal emission from the horizon, whereas the Landauer cost describes the energetic cost of an irreversible change of information representation. The representation transition is written as: I_an(t) -> K_H(t) where I_an(t) denotes the analog structure of information, fields, and correlations, while K_H(t) denotes the horizon-qubton register. The qubton-capacity constraint is written as: N_K_max ~= S_BH / (k_B ln d_K) where N_K_max denotes the maximum number of qubtons, S_BH denotes Bekenstein-Hawking entropy, k_B denotes the Boltzmann constant, and d_K denotes the number of states of a single qubton. The Landauer cost of an irreversible representation change is written as: dE_L(t) >= k_B T_dyn(t) ln(d_K) dN_K_irr(t) where dE_L(t) denotes the minimal energetic cost of the representation change, T_dyn(t) denotes the effective temperature of the dynamical horizon, ln(d_K) denotes the information assigned to one qubton, and dN_K_irr(t) denotes the irreversible change in the number of qubtons. The quantum-informational part presents OCBH as a composition of operational channels: Phi_OCBH = D_out o T_eye o E_in where E_in denotes the encoding map, T_eye denotes the transformation or scrambling channel, D_out denotes the decoding map, and the symbol “o” denotes composition of maps. This layer illustrates the role of CPTP channels, the Petz recovery map, information recovery, quantum error correction, and information-theoretic quantities such as Delta S, I(ref; out), gamma-neutrino correlations, and information recoverability. The final slide presents the observable matrix and testing program. It includes gamma, neutrino, electromagnetic, and gravitational-wave channels, as well as the testing pipeline: GW alert -> time window Delta t(M_m) -> gamma channel -> neutrino channel -> joint likelihood -> Delta chi2_eff The comparative statistic is written as: Delta chi2_eff = chi2(M0) - chi2(M1) - lambda k where chi2(M0) denotes the fit function of the null model, chi2(M1) denotes the fit function of the extended model, lambda k denotes the complexity penalty for additional model parameters, and Delta chi2_eff denotes the effective improvement in fit. The OCBH/GTCW variant is treated as a test hypothesis compared with the null model. The absence of observational excesses above the null model leads to rejection of a given model variant. This material is scientific and visual in character. It is intended to present the theoretical structure, mathematical relations, and possible observables of the model. It does not report a direct detection of Hawking radiation or an empirical confirmation of information transfer through a horizon; rather, it synthesizes the formal, interpretive, and test-oriented structure of the model in presentation form.