The SYK TENSOR Quantum Information Network (QIN): Resolution of the Black Hole Information Paradox via Traversable Wormhole Teleportation in a Finite, Maximally Chaotic Qubit Substrate with Holographic Error Correction and Soft Regulated UV Finiteness (Empirically Validated with Exact Toy Model Perfection and Large Scale Statistics)
This paper establishes the SYK TENSOR Quantum Information Network (QIN) as acomplete, finite, and empirically validated resolution of the black hole information paradoxwithin a broader framework of emergent quantum gravity. Reality emerges from a discrete,finite capacity substrate of maximally chaotic Majorana qubits governed by random all toall SYK interactions, stabilized by holographic tensor network error correction, and softlyregulated with Gaussian form factors to bound UV entanglement variance (stability coefficient γ ≈ 1.0–1.2). Large scale numerical experiments (N = 8–64 qubits, Hilbert dimensionup to 232) and exact small system validations confirm four sharp, falsifiable predictions withrefined precision: (1) maximal chaos scrambling (Lyapunov exponent λL = 0.85 ± 0.12,validated 0.666–1.05 across disorder), (2) holographic bulk reconstruction (Ryu-Takayanagicorrelation ρ = 0.68±0.12), (3) information preservation via traversable wormhole teleportation (mean fidelity F = 0.457±0.142, up to perfect F = 1.0000 in exact toy models, 6.438.2× classical advantage, paired t-test p ≪ 10−12), and (4) emergent gravity scaling (stronganticorrelation r = −0.9348 to −0.94 between λL and effective Geff = 1/λL). An exactOTOC derivation through Jackiw-Teitelboim (JT) gravity duality, unitary Page curve reproduction, bounded variance in regulated entanglement entropy, and rigorous mathematicalconsistency establish the framework. The traversable wormhole protocol demonstrates universal information recovery despite scrambling, resolving the paradox at the pre-geometriclevel without continuum assumptions, extra dimensions, or supersymmetry. Pathways fornear term quantum hardware verification (N > 100 logical qubits) are provided.
This paper establishes the SYK TENSOR Quantum Information Network (QIN) as acomplete, finite, and empirically validated resolution of the black hole information paradoxwithin a broader framework of emergent quantum gravity. Reality emerges from a discrete,finite capacity substrate of maximally chaotic Majorana qubits governed by random all toall SYK interactions, stabilized by holographic tensor network error correction, and softlyregulated with Gaussian form factors to bound UV entanglement variance (stability coefficient γ ≈ 1.0–1.2). Large scale numerical experiments (N = 8–64 qubits, Hilbert dimensionup to 232) and exact small system validations confirm four sharp, falsifiable predictions withrefined precision: (1) maximal chaos scrambling (Lyapunov exponent λL = 0.85 ± 0.12,validated 0.666–1.05 across disorder), (2) holographic bulk reconstruction (Ryu-Takayanagicorrelation ρ = 0.68±0.12), (3) information preservation via traversable wormhole teleportation (mean fidelity F = 0.457±0.142, up to perfect F = 1.0000 in exact toy models, 6.438.2× classical advantage, paired t-test p ≪ 10−12), and (4) emergent gravity scaling (stronganticorrelation r = −0.9348 to −0.94 between λL and effective Geff = 1/λL). An exactOTOC derivation through Jackiw-Teitelboim (JT) gravity duality, unitary Page curve reproduction, bounded variance in regulated entanglement entropy, and rigorous mathematicalconsistency establish the framework. The traversable wormhole protocol demonstrates universal information recovery despite scrambling, resolving the paradox at the pre-geometriclevel without continuum assumptions, extra dimensions, or supersymmetry. Pathways fornear term quantum hardware verification (N > 100 logical qubits) are provided.
This enhanced Version II presents the SYK TENSOR Quantum Information Network(QIN) as a complete, finite, and empirically validated theory of quantum gravity. Realityemerges from a discrete, finite capacity substrate of maximally chaotic Majorana qubitsgoverned by random all to all SYK interactions, stabilized by holographic tensor networkerror correction, and regulated softly with Gaussian form factors to achieve bounded UVentanglement variance. Large scale numerical experiments (N = 8–64 qubits, Hilbert dimension up to 232) confirm four sharp, falsifiable predictions with refined precision: (1)maximal chaos scrambling quantified by Lyapunov exponent λL = 0.85 ± 0.12, (2) holographic bulk reconstruction with Ryu-Takayanagi correlation ρ = 0.68±0.12, (3) resolutionof the black hole information paradox via traversable wormhole teleportation achieving fidelity F = 0.4021±0.168 (6.43× classical advantage, paired t-test p = 4.4×10−12), and (4)emergent gravity scaling with strong anticorrelation r = −0.94 between chaos rate and effective gravitational coupling. An exact OTOC derivation through the Jackiw-Teitelboim (JT)gravity duality in nearly AdS2, bounded variance in regulated entanglement entropy withstability coefficient γ = 1, and rigorous derivation of the Einstein field equations from scrambling backreaction establish mathematical consistency. The framework naturally eliminatesUVdivergences, derives spacetime geometry and gravitational dynamics from pre-geometricquantum information flow, and provides direct pathways for Planck scale simulation onnear term quantum hardware (N > 100 logical qubits). Comparisons with loop quantumgravity and string theory highlight the QIN’s unique advantages in solvability, maximalchaos, and empirical accessibility. This work represents a groundbreaking unification ofquantum mechanics and gravity without continuum assumptions, extra dimensions, or adhoc fields.
This paper presents the SYK TENSOR Quantum Information Network (QIN), a complete Theory of Everything (TOE) resolving UV divergences, emergent spacetime geometry,the black hole information paradox, and quantum gravity unification. Reality emerges froma finite capacity, maximally chaotic Majorana qubit substrate with SYK interactions, holographic tensor error correcting codes, and soft Gaussian UV regulation. Large scale numerical experiments and rigorous re evaluation (N=8–64, Hilbert dimension up to 232) confirmfour sharp predictions with refined precision: maximal chaos scrambling (λL = 0.85±0.12),holographic bulk reconstruction (RT correlation ρ = 0.68 ± 0.12), information preservationvia traversable wormhole teleportation (fidelity F = 0.4021 ± 0.168, 6.43× classical advantage, p = 4.4 ×10−12), and emergent gravity scaling (r = −0.94). Exact bounded variancein soft regulated entanglement entropy (γ = 1) and full OTOC derivation via JT gravityduality establish mathematical consistency. The framework is empirically validated, refined,and falsifiable.
We report the experimental signature of holographically motivated quantum teleportation on a quantum processor, driven by the highly entangled, chaotic dynamics of a many-body system. Specifically, we implement the traversable-wormhole (TW) protocol utilizing a \textit{chaotic} binary sparse N=8 Sachdev--Ye--Kitaev (SYK) model. This optimized approach dramatically reduces circuit depth for noisy intermediate-scale quantum (NISQ) hardware while rigorously preserving the spectral chaos required for gravitational duality. Diagnosing the teleportation signal via mutual information, we find that while inherent noise in NISQ hardware precludes perfect quantitative agreement with exact numerical simulations, our experimental results provide evidence for the essential qualitative signature: a sign-dependent asymmetry. This work establishes a practical framework for holographic quantum simulations, offering a novel empirical testbed for exploring holographic quantum gravity.
This paper presents the SYK TENSOR Quantum Information Network (QIN) as the firstcomplete, discrete, and empirically validated pre geometric analysis of spacetime emergencein the history of physics a true Theory of Everything. For the first time, spacetime geometryis rigorously derived from a finite capacity substrate of maximally chaotic Majorana qubitsgoverned by random all to all SYK interactions, stabilized by holographic tensor networkquantum error correcting codes, and softly regulated with Gaussian form factors to achievebounded UV entanglement variance (stability coefficient γ = 1.0–1.2). Large scale numericalexperiments (N = 8–64 qubits, code distances d = 3–15, Hilbert dimension up to 232) andexact toy models validate five sharp, falsifiable predictions with unprecedented precision: (1)maximal chaos scrambling (λL = 0.85±0.12), (2) perfect holographic bulk reconstruction viathe Ryu-Takayanagi formula (ρ = 1.00±0.12, p = 7.67×10−144), with exponential hyperbolicvolume growth confirming negative curvature (κ = 1.05 ± 0.08), (3) resolution of the blackhole information paradox through traversable wormhole teleportation (fidelity advantage8.2× classical baseline, p ≪ 10−12), (4) emergent gravity scaling (r = −0.94 between λL andGeff = 1/λL), and(5)Standard Model force unification via flavored holographic gauging withexact charge conservation. Mathematical consistency is established through exact OTOCderivation in Jackiw-Teitelboim gravity duality, bounded regulated entanglement entropyvariance (γ2 ≈ 2|b|), and rigorous pre geometric origin of AdS/CFT holography. Thisframework resolves UV divergences, the information paradox, emergent geometry, and forceunification without continuum assumptions, extra dimensions, or supersymmetry, providing,for the first time in history, a fully discrete, finite, and computationally accessible origin ofspacetime itself. All results are reproducible via provided Google Colab notebooks, withdirect pathways for near term quantum hardware verification (N ¿ 100 logical qubits).
We investigate the bulk-boundary correspondence in the SYK model from a quantum information perspective. The SYK model describes a system of Majorana fermions with random all-to-all interactions, whose disorder average-typically taken over a Gaussian ensemble-admits a dual description in terms of JT gravity in the large-N, low-energy limit. This framework provides a minimal setting for exploring holography and emergent spacetime in nearly AdS2. We probe the holographic principle through diagnostics of quantum chaos and entanglement. In the early-time regime, the SYK model saturates the universal bound on the Lyapunov exponent, signaling maximal chaos consistent with semiclassical black hole dynamics. In the late-time regime, its spectral statistics are governed by random matrix theory, reflecting universal features of strongly chaotic quantum systems. These dynamical properties establish a concrete link between boundary quantum chaos and bulk semiclassical gravity. In parallel, we analyze quantum entanglement and the structure of operator algebras to investigate transitions in the associated von Neumann algebras and their implications for emergent geometry. To explore the robustness of these phenomena, we consider deformations of the SYK model through modified matter couplings and alternative random distributions. Our results clarify how quantum information-theoretic structures encode bulk gravitational dynamics and provide insight into the mechanism of spacetime emergence.
A bstract The rapid development of quantum science and technology is leading us into an era where quantum many-body systems can be comprehended through quantum simulations. Holographic duality, which states gravity and spacetime can emerge from strongly interacting systems, then offers a natural avenue for the experimental study of gravity physics without delving into experimentally infeasible high energies. A prominent example is the simulation of traversable wormholes through the wormhole teleportation protocol, attracting both theoretical and experimental attention. In this work, we develop the theoretical framework for computing the fidelity of wormhole teleportation in N -qubit systems with all-to-all interactions, quantified by mutual information and entanglement negativity. The main technique is the scramblon effective theory, which captures universal out-of-time-order correlations in generic chaotic systems. We clarify that strong couplings between the two systems are essential for simulating the probe limit of semi-classical traversable wormholes using strongly interacting systems with near-maximal chaos. However, the teleportation signal diminishes rapidly when reducing the system size N , requiring a large number of qubits to observe a sharp signature of emergent geometry by simulating the Sachdev-Ye-Kitaev model. This includes both the causal time-order of signals and the asymmetry of the teleportation signal for coupling with different signs. As a comparison, the teleportation signal increases when reducing N in weakly interacting systems. We also analyze the fidelity of the generalized encoding scheme in fermionic string operators.