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    Subject Terms: ψ–Hamzah equation, black holes, inner structure, event horizon, information paradox, quantum gravity, general relativity, fractional derivatives, fractal geometry, multiscale dynamics, ψ-signature, nonlocal memory, quantum coherence, Hawking radiation, information preservation, singularity resolution, Schwarzschild solution, Kerr solution, Reissner–Nordström, Einstein field equations, quantum tunneling, spacetime curvature, gravitational collapse, ψ-field oscillations, quantum membrane, ψ-barrier, ψ-fingerprint, fractal oscillatory structure, quantum processor, memory preservation, Hawking evaporation, non-thermal radiation, gravitational waves, quantum entanglement, holographic principle, ψ-information layers, fractional wave equation, Caputo derivatives, Grünwald–Letnikov scheme, fractal kernels, oscillatory horizon, quantum coherence fields, turbulence in ψ-fields, oscillatory shells, information recycling, unitarity preservation, ψ-time, memory-driven collapse, quantum tunneling across horizon, oscillatory fractal core, nonlinear dynamics, fractal decomposition, numerical simulation, Python modeling, fractional calculus code, Runge–Kutta ψ-integration, spectral analysis, Lyapunov stability, bifurcation diagrams, wavelet decomposition, Fourier transform, entropic delay index, fractal dimension spectrum, information echo strength, laboratory analog black holes, optical fiber simulation, Bose–Einstein condensates, nonlinear refractive index, Kerr medium, quantum optical black holes, phase shifts, non-Gaussian scattering, fractal laser pulses, ultrafast femtosecond lasers, time-fractal pulses, nonlinear self-focusing, chaotic light behavior, experimental verification, ψ-wave experiments, fractional filtering, multiscale resonance, ψ-information oscillations, ψ-horizon reflection, data analysis tools, pywt wavelet analysis, Fourier frequency comparison, spectral instability, ψ-fractal simulations, comparative metrics, RMS deviation reduction, Planck-scale modeling, sub-horizon turbulence, adaptive ψ-fields, energy-information functions, ψ-potential oscillations, nonlinear boundary conditions, information penetration parameter, Hawking evaporation reinterpretation, entropic phase transitions, information reflection, irreversibility of ψ-processes, quantum memory effect, ψ-nonlocal channels, ψ–multiverse links, ψ-topological resonance, ψ-causality loops, ψ-entropic dynamics, ψ-fractional entropy, memory-preserving algorithms, ψ-field holography, oscillatory attractors, ψ-chaos suppression, ψ-wave propagation, ψ-nonlinear integration, ψ-dimensional mapping, ψ–quantum geometry, quantum coherent oscillations, ψ–vacuum interactions, ψ-cosmology, holographic ψ-encoding, ψ–quantum fingerprints, ψ–wave echo, ψ-field resonance, ψ-dynamics of collapse, ψ-processing of information, ψ-recycling in black holes, ψ-dimensional gateways, ψ-parallel states, ψ-transitions across horizons, ψ-unification model, ψ–quantum gravity integration, ψ-thermodynamics, quantum gravitational field simulations, fractional-fractal models, ψ-differential operators, information preservation across scales, ψ-rewriting of data, ψ-nonlinear oscillatory core, ψ-resonance at event horizon, ψ-fractional oscillators, quantum fractal gravity, black hole entropy, ψ-fractional action, holographic ψ-models, ψ-multiscale oscillations, ψ-nonlinear fractal resonance, ψ-field oscillatory attractors, ψ-coherent tunneling, ψ-quantum decoherence suppression, ψ-dynamics of singularity, ψ-horizon memory layers, ψ-bifurcation stability, ψ-field memory operators, ψ-chaotic attractors, ψ-quantum processing node, ψ-information continuity, ψ-meaning preservation, ψ-event horizon as quantum barrier, ψ-multiscale resonance functions, ψ-fractal delay effects, ψ-wave memory layers, ψ-multidimensional quantum horizons, ψ-fractal experimental analogs, ψ-reproducible lab simulations, ψ-future quantum gravity path, ψ-informational preservation

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    Authors: Wu, Jerry.

    Thesis Advisors: Martin Rinard., Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science., Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science

    File Description: 196 pages; application/pdf

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