时空对偶原理计算黑洞温度与辐射

1. A Novel Physical Mechanism for Black Hole Temperature(Based on Matter Creation via Quantum Gravity in Black Hole Interiors)Temperature Formula:T = \left( \frac{c^7 \eta U_{QG}}{32\pi G^3 M_{BH}^3 \sigma} \right)^{1/4}Key Parameters: U_{QG}: Extreme repulsive quantum gravitational potential energy within the black hole, calculated by integrating over the matter creation zone (\ell < r < r_{CFT}). \eta: Quantum spacetime curvature efficiency factor, dependent on the baryonic mass ratio of galaxies (\eta \propto (M_{\text{gal}}/M_{\text{MW}})^2).2. Three-Stage Evolution of Radiation Energy(1) Internal Generation: Planck Photon Energy: E_{\text{Planck}} = 2.821 k_B T (Sgr A*: 2.247 GeV).(2) Horizon Tunneling: Redshift Attenuation: Photon energy reduces to E_{\text{photon}} \in [E_{\text{Planck}} \sqrt{A(r_h)}, E_{\text{Planck}} \sqrt{A(r_{ph})}] (Sgr A* lower limit: 4.55 \times 10^{-17} eV). Redshift Factor: \sqrt{A(r)} \approx \sqrt{\Lambda_{\text{cosmo}} / \Lambda(r)}.(3) Gravitational Wave Standing Wave Coupling: Energy Addition: E_{GW}(r_{sh}) = \frac{c^2 \eta}{24G} \frac{(A_{\mu\nu}^0)^2}{|q(r_h)^2|} (r_{sh}^3 - r_h^3) (Sgr A* upper limit: 9.85 GeV). Final Energy Range: E \in [10^{-17} \text{ eV}, 10.8 \text{ GeV}] (covers Fermi-LAT observations at 0.110 GeV). Observational Verification:Target    Theoretical Prediction    Observed Data    InstrumentSgr A* Flare Period    89.8111.6 seconds    90120 seconds (JWST)    NIRCam/JWSTM87* Flare Period    4352 hours    2448 hours (H.E.S.S.)    H.E.S.S.Sgr A* Spectrum    0.110 GeV non-thermal    Matched (Fermi-LAT)    Fermi-LAT3. ConclusionThe Spacetime Duality Principle bridges the quantitative gap between black hole temperature, quantum gravitational potential, and observable radiation through:(1) Temperature Formula: Reveals quantum processes in black hole interiors dominate thermodynamics.(2) Three-Stage Radiation: Unifies explanations for energy spectra, time scales, and polarization.(3) Six Observational Validations: Includes EHT shadows, Fermi spectra, and JWST flares; predictions for polarization and spectral cutoffs await CTA verification.