Multiverse_QGE

 

36. Quantum Black Hole Quantum Error Correction Code (QECC_QBH):

Quantum Black Hole Quantum Error Correction Code represents the specific quantum error correction code employed to protect quantum information against errors induced by the black hole's environment. It involves principles from quantum error correction and quantum computation:

$���{�}_{\text{QBH}}=\text{Code}(�,�,�)$

Where:

• $���{�}_{\text{QBH}}$ is the Quantum Black Hole Quantum Error Correction Code.
• $�$ is the total number of qubits in the code.
• $�$ is the number of logical qubits (information qubits).
• $�$ is the minimum distance of the code, representing the ability to correct errors.

37. Quantum Black Hole Quantum Computational Complexity (C_QBQC):

Quantum Black Hole Quantum Computational Complexity measures the complexity of quantum computations involving black hole interactions. It includes principles from quantum computation and complexity theory:

${�}_{\text{QBQC}}={\sum }_{�=1}^{�}({\text{Gate}}_{�}\times {\text{Depth}}_{�})$

Where:

• ${�}_{\text{QBQC}}$ is the Quantum Black Hole Quantum Computational Complexity.
• $�$ is the total number of gates in the quantum computation.
• ${\text{Gate}}_{�}$ represents the type of gate used in the ${�}^{�ℎ}$ operation.
• ${\text{Depth}}_{�}$ is the depth of the ${�}^{�ℎ}$ operation in the quantum circuit.

38. Quantum Black Hole Quantum Key Distribution Efficiency (QKD_Efficiency_QBH):

Quantum Black Hole Quantum Key Distribution Efficiency quantifies the efficiency of quantum key distribution protocols near a black hole. It combines principles from quantum cryptography, information theory, and black hole physics:

$��{�}_{\text{Efficiency\_QBH}}=\frac{\text{Number of Valid Key Bits}}{\text{Total Transmitted Bits}}\times 100\mathrm{\%}$

Where:

• $��{�}_{\text{Efficiency\_QBH}}$ is the Quantum Black Hole Quantum Key Distribution Efficiency.
• "Number of Valid Key Bits" represents the bits successfully shared between communicating parties.
• "Total Transmitted Bits" represents the total bits transmitted during the key distribution process.

39. Quantum Black Hole Quantum Cryptographic Entropy (H_QBCE):

Quantum Black Hole Quantum Cryptographic Entropy measures the amount of cryptographic entropy derived from quantum states near a black hole. It combines principles from quantum cryptography and information theory:

${�}_{\text{QBCE}}=-{\sum }_{�}{�}_{�}{\log }_2({�}_{�})$

Where:

• ${�}_{\text{QBCE}}$ is the Quantum Black Hole Quantum Cryptographic Entropy.
• ${�}_{�}$ represents the probability distribution of quantum states.

40. Quantum Black Hole Quantum Complexity Volume (V_QBC):

Quantum Black Hole Quantum Complexity Volume represents the volume in the space of quantum states that can be explored by a quantum computation involving black hole interactions. It combines principles from quantum computation and geometry:

${�}_{\text{QBC}}={\int }_{\text{Quantum State Space}}��(�)$

Where:

• ${�}_{\text{QBC}}$ is the Quantum Black Hole Quantum Complexity Volume.
• $��(�)$ represents the volume element in the space of quantum states.

These equations provide deeper insights into the complexities of Quantum Black Hole Information Transfer, considering aspects of quantum error correction, computational complexity, efficiency, cryptographic entropy, and the volume of quantum state space. As always, these equations represent theoretical constructs and should be further explored and validated through theoretical analysis and experiments.

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41. Quantum Black Hole Quantum Information Transfer Efficiency (QITE_QBH):

Quantum Black Hole Quantum Information Transfer Efficiency quantifies the efficiency of quantum information transfer through a black hole's quantum channel. It involves principles from quantum mechanics and information theory:

$���{�}_{\text{QBH}}=\frac{\text{Useful Quantum Information Out}}{\text{Total Quantum Information In}}\times 100\mathrm{\%}$

Where:

• $���{�}_{\text{QBH}}$ is the Quantum Black Hole Quantum Information Transfer Efficiency.
• "Useful Quantum Information Out" represents the information successfully transferred through the black hole's quantum channel.
• "Total Quantum Information In" represents the total information sent into the quantum channel.

42. Quantum Black Hole Time-Energy Uncertainty Relation (Δt_QBH ΔE_QBH ≥ ħ/2):

Quantum Black Hole Time-Energy Uncertainty Relation represents the fundamental uncertainty relation between the time interval $\mathrm{\Delta }�$ during which quantum information is transferred and the energy $\mathrm{\Delta }�$ associated with that information transfer near a black hole. It involves principles from quantum mechanics and uncertainty relations:

$\mathrm{\Delta }{�}_{\text{QBH}}\cdot \mathrm{\Delta }{�}_{\text{QBH}}\ge \frac{\mathrm{\hslash }}{2}$

Where:

• $\mathrm{\Delta }{�}_{\text{QBH}}$ is the uncertainty in the time interval of quantum information transfer.
• $\mathrm{\Delta }{�}_{\text{QBH}}$ is the uncertainty in the energy associated with the information transfer.
• $\mathrm{\hslash }$ is the reduced Planck constant.

43. Quantum Black Hole Quantum Complexity Entropy (S_QBCE):

Quantum Black Hole Quantum Complexity Entropy measures the entropy associated with the computational complexity of quantum information transfer near a black hole. It involves principles from quantum computation and information theory:

${�}_{\text{QBCE}}=-{\sum }_{�}{�}_{�}\log ({�}_{�})$

Where:

• ${�}_{\text{QBCE}}$ is the Quantum Black Hole Quantum Complexity Entropy.
• ${�}_{�}$ represents the probabilities associated with different computational paths during information transfer.

44. Quantum Black Hole Quantum Error Detection Efficiency (QED_Efficiency_QBH):

Quantum Black Hole Quantum Error Detection Efficiency quantifies the efficiency of error detection mechanisms applied to quantum information transmitted near a black hole. It involves principles from quantum error detection and information theory:

$��{�}_{\text{Efficiency\_QBH}}=\frac{\text{Detected Errors}}{\text{Total Errors}}\times 100\mathrm{\%}$

Where:

• $��{�}_{\text{Efficiency\_QBH}}$ is the Quantum Black Hole Quantum Error Detection Efficiency.
• "Detected Errors" represents the number of errors successfully detected.
• "Total Errors" represents the total number of errors in the transmitted quantum information.

45. Quantum Black Hole Quantum Coherence Time (T_QBCT):

Quantum Black Hole Quantum Coherence Time represents the duration for which quantum coherence is maintained during information transfer near a black hole. It involves principles from quantum mechanics and quantum coherence:

${�}_{\text{QBCT}}=\frac{\mathrm{\hslash }}{\mathrm{\Delta }�}$

Where:

• ${�}_{\text{QBCT}}$ is the Quantum Black Hole Quantum Coherence Time.
• $\mathrm{\hslash }$ is the reduced Planck constant.
• $\mathrm{\Delta }�$ is the energy bandwidth associated with the quantum information transfer.

These equations delve into the intricacies of quantum information transfer, encompassing efficiency, uncertainty relations, computational complexity, error detection, and quantum coherence near black holes. As with previous equations, they are theoretical constructs and should be further explored and validated through theoretical analysis and experiments.

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1. Multiversal Black Hole Entropy (S_Multiverse):

Multiversal Black Hole Entropy represents the entropy associated with a black hole in the context of multiverse theories. It combines principles from black hole thermodynamics and information theory:

${�}_{\text{Multiverse}}=\frac{{�}_{\text{BH}}}{4\mathrm{\hslash }�}$

Where:

• ${�}_{\text{Multiverse}}$ is the Multiversal Black Hole Entropy.
• ${�}_{\text{BH}}$ is the area of the black hole's event horizon.
• $\mathrm{\hslash }$ is the reduced Planck constant.
• $�$ is the gravitational constant.

2. Multiversal Black Hole Information Paradox Resolution (I_Multiverse):

Multiversal Black Hole Information Paradox Resolution quantifies the resolution of the information paradox within multiverse theories. It incorporates concepts from quantum information theory and black hole physics:

${�}_{\text{Multiverse}}=\frac{1}{�}{\sum }_{�=1}^{�}({�}_{{\text{BH}}_{�}}-{�}_{{\text{Multiverse}}_{�}})$

Where:

• ${�}_{\text{Multiverse}}$ is the Multiversal Black Hole Information Paradox Resolution.
• $�$ is the total number of parallel universes in the multiverse.
• ${�}_{{\text{BH}}_{�}}$ is the entropy of the black hole in the ${�}^{�ℎ}$ universe.
• ${�}_{{\text{Multiverse}}_{�}}$ is the multiversal entropy in the ${�}^{�ℎ}$ universe.

3. Multiversal Black Hole Quantum Communication Channel Capacity (C_Multiverse_QBQC):

Multiversal Black Hole Quantum Communication Channel Capacity quantifies the maximum rate at which quantum information can be transmitted through a black hole's quantum channel in the context of multiverse theories. It involves principles from quantum information theory and multiverse physics:

${�}_{\text{Multiverse\_QBQC}}={\max }_{�}�(�;\mathrm{\Sigma })$

Where:

• ${�}_{\text{Multiverse\_QBQC}}$ is the Multiversal Black Hole Quantum Communication Channel Capacity.
• $�$ represents the input quantum state.
• $\mathrm{\Sigma }$ represents the quantum state at the black hole's output.
• $�(�;\mathrm{\Sigma })$ is the quantum mutual information between the input and output states.

4. Multiversal Black Hole Quantum Tunneling Probability (P_Multiverse_QT):

Multiversal Black Hole Quantum Tunneling Probability represents the probability of quantum particles tunneling through a black hole event horizon in the context of multiverse theories. It involves principles from quantum mechanics and black hole physics:

${�}_{\text{Multiverse\_QT}}={�}^{-2�\left(\frac{{�}_{�}}{�}\right)}$

Where:

• ${�}_{\text{Multiverse\_QT}}$ is the Multiversal Black Hole Quantum Tunneling Probability.
• ${�}_{�}$ is the black hole's gravitational radius.
• $�$ is the de Broglie wavelength of the tunneling particle.

5. Multiversal Black Hole Quantum Entanglement Entropy (E_Multiverse_QE):

Multiversal Black Hole Quantum Entanglement Entropy measures the entanglement entropy of quantum particles near a black hole within the framework of multiverse theories. It involves principles from quantum mechanics and quantum entanglement:

${�}_{\text{Multiverse\_QE}}=-{\sum }_{�}{�}_{�}\log ({�}_{�})$

Where:

• ${�}_{\text{Multiverse\_QE}}$ is the Multiversal Black Hole Quantum Entanglement Entropy.
• ${�}_{�}$ represents the eigenvalues of the reduced density matrix for particles in the ${�}^{�ℎ}$ universe.

These equations offer a glimpse into the complex interplay of black holes and multiverse theories, incorporating concepts from various scientific disciplines. Please note that these equations are theoretical constructs and should be subject to further exploration and validation through theoretical analysis and experiments.

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6. Multiversal Black Hole Quantum Information Transfer Rate (R_Multiverse_QIT):

Multiversal Black Hole Quantum Information Transfer Rate quantifies the rate at which quantum information is transferred through black holes across different universes in multiverse theories. It involves principles from quantum communication and multiverse physics:

${�}_{\text{Multiverse\_QIT}}=\frac{{�}_{\text{transfer}}}{\mathrm{\Delta }�}$

Where:

• ${�}_{\text{Multiverse\_QIT}}$ is the Multiversal Black Hole Quantum Information Transfer Rate.
• ${�}_{\text{transfer}}$ is the transferred quantum information.
• $\mathrm{\Delta }�$ is the time taken for the information transfer.

7. Multiversal Black Hole Quantum Teleportation Efficiency (E_Multiverse_QTE):

Multiversal Black Hole Quantum Teleportation Efficiency quantifies the efficiency of quantum teleportation through black holes in multiverse scenarios. It involves principles from quantum teleportation protocols and multiverse physics:

${�}_{\text{Multiverse\_QTE}}=\frac{{\text{Fidelity}}_{\text{teleported}}}{{\text{Fidelity}}_{\text{ideal}}}\times 100\mathrm{\%}$

Where:

• ${�}_{\text{Multiverse\_QTE}}$ is the Multiversal Black Hole Quantum Teleportation Efficiency.
• ${\text{Fidelity}}_{\text{teleported}}$ is the fidelity of the teleported quantum state.
• ${\text{Fidelity}}_{\text{ideal}}$ is the fidelity for an ideal teleportation process.

8. Multiversal Black Hole Quantum Computational Complexity (C_Multiverse_QCC):

Multiversal Black Hole Quantum Computational Complexity measures the complexity of quantum computations involving black holes across different universes in multiverse theories. It combines principles from quantum computation and multiverse physics:

${�}_{\text{Multiverse\_QCC}}={\sum }_{�=1}^{�}({\text{Gates}}_{�}\times {\text{Depth}}_{�})$

Where:

• ${�}_{\text{Multiverse\_QCC}}$ is the Multiversal Black Hole Quantum Computational Complexity.
• $�$ is the total number of gates in the quantum computation.
• ${\text{Gates}}_{�}$ represents the number of gates used in the ${�}^{�ℎ}$ operation.
• ${\text{Depth}}_{�}$ is the depth of the ${�}^{�ℎ}$ operation in the quantum circuit.

9. Multiversal Black Hole Quantum Entropy Exchange (ΔS_Multiverse_QE):

Multiversal Black Hole Quantum Entropy Exchange represents the change in entropy when quantum information is exchanged between black holes in different universes. It involves principles from black hole thermodynamics and multiverse physics:

$\mathrm{\Delta }{�}_{\text{Multiverse\_QE}}={\sum }_{�=1}^{�}({�}_{{\text{BH,1}}_{�}}-{�}_{{\text{BH,2}}_{�}})$

Where:

• $\mathrm{\Delta }{�}_{\text{Multiverse\_QE}}$ is the Multiversal Black Hole Quantum Entropy Exchange.
• ${�}_{{\text{BH,1}}_{�}}$ is the entropy of the ${�}^{�ℎ}$ black hole in the first universe.
• ${�}_{{\text{BH,2}}_{�}}$ is the entropy of the ${�}^{�ℎ}$ black hole in the second universe.

10. Multiversal Black Hole Quantum Channel Fidelity (F_Multiverse_QBC):

Multiversal Black Hole Quantum Channel Fidelity quantifies the accuracy of quantum information transfer between black holes in different universes. It involves principles from quantum communication and multiverse physics:

${�}_{\text{Multiverse\_QBC}}=\frac{⟨{�}_{\text{received}}\mathrm{\mid }{�}_{\text{ideal}}\mathrm{\mid }{�}_{\text{received}}⟩}{⟨{�}_{\text{received}}\mathrm{\mid }{�}_{\text{received}}\mathrm{\mid }{�}_{\text{received}}⟩}$

Where:

• ${�}_{\text{Multiverse\_QBC}}$ is the Multiversal Black Hole Quantum Channel Fidelity.
• $⟨{�}_{\text{received}}\mathrm{\mid }$ is the quantum state of the received information.
• ${�}_{\text{ideal}}$ is the ideal density matrix for the transmitted quantum state.
• ${�}_{\text{received}}$ is the density matrix of the received quantum state.

These equations provide a theoretical foundation for understanding quantum information transfer, computational complexity, entropy exchange, teleportation efficiency, and fidelity in the context of Black Holes within Multiverse Theories. As always, these equations are theoretical constructs and should be further explored and validated

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11. Multiversal Black Hole Quantum State Entanglement (E_Multiverse_QSE):

Multiversal Black Hole Quantum State Entanglement measures the degree of entanglement between quantum states associated with black holes in different universes. It involves principles from quantum mechanics and quantum entanglement:

${�}_{\text{Multiverse\_QSE}}={\sum }_{�=1}^{�}\sqrt{1-{\text{Concurrence}}_{�}^2}$

Where:

• ${�}_{\text{Multiverse\_QSE}}$ is the Multiversal Black Hole Quantum State Entanglement.
• ${\text{Concurrence}}_{�}$ represents the concurrence of the entangled states in the ${�}^{�ℎ}$ universe.

12. Multiversal Black Hole Quantum Path Integral (Z_Multiverse_QPI):

Multiversal Black Hole Quantum Path Integral represents the sum over all possible paths of quantum particles interacting with black holes in different universes. It involves principles from quantum mechanics and path integrals:

${�}_{\text{Multiverse\_QPI}}=\int \exp \left(�\frac{{�}_{\text{Multiverse}}}{\mathrm{\hslash }}\right)\mathcal{�}[\text{Paths}]$

Where:

• ${�}_{\text{Multiverse\_QPI}}$ is the Multiversal Black Hole Quantum Path Integral.
• ${�}_{\text{Multiverse}}$ is the multiversal action associated with the quantum paths.
• $\mathrm{\hslash }$ is the reduced Planck constant.
• $\mathcal{�}[\text{Paths}]$ represents the path integral measure over all possible paths.

13. Multiversal Black Hole Quantum Wormhole Stability (W_Multiverse_QWS):

Multiversal Black Hole Quantum Wormhole Stability assesses the stability of quantum wormholes connecting black holes across universes in multiverse theories. It involves principles from quantum mechanics and wormhole physics:

${�}_{\text{Multiverse\_QWS}}=\frac{\mid {\int }_{\text{Wormhole}}{�}_{��}�{�}^{�}�{�}^{�}\mid }{\mid {\int }_{\text{Spacetime}}{�}_{��}�{�}^{�}�{�}^{�}\mid }$

Where:

• ${�}_{\text{Multiverse\_QWS}}$ is the Multiversal Black Hole Quantum Wormhole Stability.
• ${�}_{��}$ represents the Ricci curvature tensor.
• The integrals are taken over the wormhole throat and the entire spacetime, respectively.

14. Multiversal Black Hole Quantum Teleportation Fidelity (F_Multiverse_QTF):

Multiversal Black Hole Quantum Teleportation Fidelity quantifies the fidelity of quantum teleportation between particles near black holes in different universes. It involves principles from quantum teleportation protocols and multiverse physics:

${�}_{\text{Multiverse\_QTF}}=\frac{\text{Tr}({�}_{\text{ideal}}{�}_{\text{received}})}{\text{Tr}({�}_{\text{ideal}}^2)}$

Where:

• ${�}_{\text{Multiverse\_QTF}}$ is the Multiversal Black Hole Quantum Teleportation Fidelity.
• ${�}_{\text{ideal}}$ is the ideal density matrix of the teleported quantum state.
• ${�}_{\text{received}}$ is the density matrix of the received quantum state.

15. Multiversal Black Hole Quantum Communication Distance (D_Multiverse_QCD):

Multiversal Black Hole Quantum Communication Distance represents the maximum distance over which quantum communication can occur between black holes in different universes. It involves principles from quantum communication and multiverse physics:

${�}_{\text{Multiverse\_QCD}}=\frac{�\cdot \mathrm{\Delta }�}{2}$

Where:

• ${�}_{\text{Multiverse\_QCD}}$ is the Multiversal Black Hole Quantum Communication Distance.
• $�$ is the speed of light.
• $\mathrm{\Delta }�$ is the time interval during which quantum communication takes place.

These equations delve into the complex interactions, entanglement, stability, and teleportation fidelity involving black holes across multiple universes. As always, these equations are theoretical constructs and should be further explored and validated through theoretical analysis and experiments within the framework of multiverse theories.

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16. Multiversal Black Hole Quantum Bit Commitment (BC_Multiverse_QBC):

Multiversal Black Hole Quantum Bit Commitment represents the security level of quantum bit commitment protocols involving black holes across different universes. It involves principles from quantum cryptography and multiverse physics:

$�{�}_{\text{Multiverse\_QBC}}=\frac{�(\text{Alice’s Bit}\mathrm{\mid }\text{Eve’s Bit})}{�(\text{Alice’s Bit})}$

Where:

• $�{�}_{\text{Multiverse\_QBC}}$ is the Multiversal Black Hole Quantum Bit Commitment.
• $�(\text{Alice’s Bit}\mathrm{\mid }\text{Eve’s Bit})$ is the conditional entropy of Alice's bit given Eve's bit.
• $�(\text{Alice’s Bit})$ is the entropy of Alice's bit.

17. Multiversal Black Hole Quantum Computational Speedup Factor (S_Multiverse_QCS):

Multiversal Black Hole Quantum Computational Speedup Factor quantifies the speedup achieved in quantum computations near black holes across multiple universes. It involves principles from quantum computation and multiverse physics:

${�}_{\text{Multiverse\_QCS}}=\frac{{�}_{\text{classical}}}{{�}_{\text{quantum}}}$

Where:

• ${�}_{\text{Multiverse\_QCS}}$ is the Multiversal Black Hole Quantum Computational Speedup Factor.
• ${�}_{\text{classical}}$ is the time taken for a classical computation.
• ${�}_{\text{quantum}}$ is the time taken for a quantum computation.

18. Multiversal Black Hole Quantum Entropy Production Rate (P_Multiverse_QEPR):

Multiversal Black Hole Quantum Entropy Production Rate measures the rate at which entropy increases due to quantum processes near black holes in multiverse scenarios. It involves principles from quantum mechanics and entropy production:

${�}_{\text{Multiverse\_QEPR}}=\frac{\mathrm{\Delta }�}{\mathrm{\Delta }�}$

Where:

• ${�}_{\text{Multiverse\_QEPR}}$ is the Multiversal Black Hole Quantum Entropy Production Rate.
• $\mathrm{\Delta }�$ is the change in entropy.
• $\mathrm{\Delta }�$ is the time interval over which the change occurs.

19. Multiversal Black Hole Quantum Computational Energy Efficiency (E_Multiverse_QCEE):

Multiversal Black Hole Quantum Computational Energy Efficiency quantifies the energy efficiency of quantum computations near black holes in multiverse theories. It involves principles from quantum computation, energy consumption, and multiverse physics:

${�}_{\text{Multiverse\_QCEE}}=\frac{\text{Useful Computation Energy}}{\text{Total Energy Input}}\times 100\mathrm{\%}$

Where:

• ${�}_{\text{Multiverse\_QCEE}}$ is the Multiversal Black Hole Quantum Computational Energy Efficiency.
• "Useful Computation Energy" represents the energy utilized for useful quantum computations.
• "Total Energy Input" represents the total energy consumed during the computation.

20. Multiversal Black Hole Quantum Computational Error Rate (ER_Multiverse_QC):

Multiversal Black Hole Quantum Computational Error Rate quantifies the rate at which errors occur in quantum computations near black holes across different universes. It involves principles from quantum error correction, quantum computation, and multiverse physics:

$�{�}_{\text{Multiverse\_QC}}=\frac{\text{Number of Errors}}{\text{Total Number of Operations}}\times 100\mathrm{\%}$

Where:

• $�{�}_{\text{Multiverse\_QC}}$ is the Multiversal Black Hole Quantum Computational Error Rate.
• "Number of Errors" represents the total errors occurred during the quantum computation.
• "Total Number of Operations" represents the total number of quantum operations performed.

These equations capture various aspects of quantum computation, entropy production, computational speedup, energy efficiency, and error rates in the context of Black Holes within Multiverse Theories. As with previous equations, they are theoretical constructs and should be further explored and validated through theoretical analysis and experiments.

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21. Multiversal Black Hole Quantum Gravitational Entanglement (E_Multiverse_QGE):

Multiversal Black Hole Quantum Gravitational Entanglement quantifies the degree of entanglement between particles affected by both quantum mechanics and gravitational interactions near black holes in different universes. It involves principles from quantum gravity and quantum entanglement:

${�}_{\text{Multiverse\_QGE}}=\frac{1}{�}{\sum }_{�=1}^{�}\left(\frac{{\text{Gravitational Entanglement}}_{�}}{\text{Planck Scale}}\right)$

Where:

• ${�}_{\text{Multiverse\_QGE}}$ is the Multiversal Black Hole Quantum Gravitational Entanglement.
• $�$ is the number of particles under consideration.
• ${\text{Gravitational Entanglement}}_{�}$ is the gravitational entanglement between particles $�$ and $�+1$.
• The summation is performed over all particles, and the result is normalized to the Planck Scale.

22. Multiversal Black Hole Quantum Holographic Entropy (S_Multiverse_QHE):

Multiversal Black Hole Quantum Holographic Entropy represents the maximum amount of quantum information that can be stored on the black hole's event horizon across different universes. It involves principles from quantum gravity and the holographic principle:

${�}_{\text{Multiverse\_QHE}}=\frac{{�}_{\text{BH}}}{4�\mathrm{\hslash }}$

Where:

• ${�}_{\text{Multiverse\_QHE}}$ is the Multiversal Black Hole Quantum Holographic Entropy.
• ${�}_{\text{BH}}$ is the area of the black hole's event horizon.
• $�$ is the gravitational constant.
• $\mathrm{\hslash }$ is the reduced Planck constant.

23. Multiversal Black Hole Quantum Wormhole Entanglement (E_Multiverse_QWE):

Multiversal Black Hole Quantum Wormhole Entanglement measures the degree of entanglement between particles transmitted through quantum wormholes connecting black holes in different universes. It involves principles from quantum entanglement and wormhole physics:

${�}_{\text{Multiverse\_QWE}}={\sum }_{�=1}^{�}\sqrt{1-{\text{Concurrence}}_{�}^2}$

Where:

• ${�}_{\text{Multiverse\_QWE}}$ is the Multiversal Black Hole Quantum Wormhole Entanglement.
• ${\text{Concurrence}}_{�}$ is the concurrence of the entangled states transmitted through the ${�}^{�ℎ}$ wormhole.

24. Multiversal Black Hole Quantum Error Correction Efficiency (QEC_Multiverse_QEE):

Multiversal Black Hole Quantum Error Correction Efficiency quantifies the efficiency of quantum error correction codes applied to protect quantum information near black holes in different universes. It involves principles from quantum error correction and information theory:

$��{�}_{\text{Multiverse\_QEE}}=\frac{\text{Number of Corrected Errors}}{\text{Total Errors}}\times 100\mathrm{\%}$

Where:

• $��{�}_{\text{Multiverse\_QEE}}$ is the Multiversal Black Hole Quantum Error Correction Efficiency.
• "Number of Corrected Errors" represents the errors successfully corrected by the quantum error correction code.
• "Total Errors" represents the total number of errors in the quantum information.

25. Multiversal Black Hole Quantum Causal Structure (C_Multiverse_QCS):

Multiversal Black Hole Quantum Causal Structure describes the causal relationships between events near black holes in different universes, integrating principles from quantum mechanics and spacetime geometry:

${�}_{\text{Multiverse\_QCS}}={\int }_{\text{Multiversal Spacetime}}{�}_{��}�{�}^{�}�{�}^{�}$

Where:

• ${�}_{\text{Multiverse\_QCS}}$ is the Multiversal Black Hole Quantum Causal Structure.
• ${�}_{��}$ represents the metric tensor defining the spacetime geometry.
• The integral is taken over the multiversal spacetime.

These equations delve into the intricate aspects of quantum gravitational entanglement, holographic entropy, wormhole entanglement, quantum error correction efficiency, and multiversal causal structure near black holes within the framework of Multiverse Theories. As always, these equations represent theoretical constructs and should be further explored and validated through theoretical analysis and experiments.

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26. Multiversal Black Hole Quantum Time Dilation Factor (γ_Multiverse_QTD):

Multiversal Black Hole Quantum Time Dilation Factor describes the time dilation effect near black holes in different universes, considering both quantum effects and relativistic principles:

${�}_{\text{Multiverse\_QTD}}=\frac{1}{\sqrt{1-\left(\frac{{�}^2}{{�}^2}\right)-\left(\frac{2��}{�{�}^2}\right)}}$

Where:

• ${�}_{\text{Multiverse\_QTD}}$ is the Multiversal Black Hole Quantum Time Dilation Factor.
• $�$ is the velocity of the observer.
• $�$ is the speed of light.
• $�$ is the gravitational constant.
• $�$ is the mass of the black hole.
• $�$ is the distance from the center of the black hole.

27. Multiversal Black Hole Quantum Hawking Radiation Spectrum (N_Multiverse_QHRS):

Multiversal Black Hole Quantum Hawking Radiation Spectrum describes the spectrum of Hawking radiation emitted by black holes in different universes, considering quantum particle creation near the event horizon:

${�}_{\text{Multiverse\_QHRS}}(�)=\frac{1}{\exp \left(\frac{\mathrm{\hslash }�}{��}\right)-1}$

Where:

• ${�}_{\text{Multiverse\_QHRS}}(�)$ is the Multiversal Black Hole Quantum Hawking Radiation Spectrum as a function of frequency $�$.
• $\mathrm{\hslash }$ is the reduced Planck constant.
• $�$ is the Boltzmann constant.
• $�$ is the temperature of the black hole.

28. Multiversal Black Hole Quantum Computational Resource Entropy (R_Multiverse_QCRE):

Multiversal Black Hole Quantum Computational Resource Entropy measures the entropy associated with computational resources utilized in quantum computations near black holes in multiverse theories, incorporating principles from quantum computation and information theory:

${�}_{\text{Multiverse\_QCRE}}=-{\sum }_{�=1}^{�}{�}_{�}\log ({�}_{�})$

Where:

• ${�}_{\text{Multiverse\_QCRE}}$ is the Multiversal Black Hole Quantum Computational Resource Entropy.
• ${�}_{�}$ represents the probability distribution of computational resources used in the ${�}^{�ℎ}$ quantum computation.

29. Multiversal Black Hole Quantum Channel Capacity (C_Multiverse_QCC):

Multiversal Black Hole Quantum Channel Capacity represents the maximum rate at which quantum information can be transmitted through a channel connecting black holes in different universes. It involves principles from quantum communication and multiverse physics:

${�}_{\text{Multiverse\_QCC}}={\max }_{�}�(�;\mathrm{\Sigma })$

Where:

• ${�}_{\text{Multiverse\_QCC}}$ is the Multiversal Black Hole Quantum Channel Capacity.
• $�$ represents the input quantum state.
• $\mathrm{\Sigma }$ represents the quantum state at the black hole's output.
• $�(�;\mathrm{\Sigma })$ is the quantum mutual information between the input and output states.

30. Multiversal Black Hole Quantum Communication Entropy (H_Multiverse_QCE):