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Topological Resonance-Based Deterministic Computing Architecture: From Virtual QPU to Reversible Thermodynamic Optimization

Min Ho Jung

Published Sep 9, 2026• 0 citations
Publisher

Abstract

Abstract Modern computing paradigms face a fundamental trilemma rooted in classical von Neumann bottlenecks and the probabilistic constraints of second-generation quantum mechanics: the memory wall, communication latency/bandwidth degradation, and the Landauer bit-erasure thermodynamic limit. Here we report an end-to-end, stateless deterministic computing architecture governed by Algorithmic Topological Resonance (ATR) theory. By utilizing the J.M. Resonance Function (RJM), which maps data onto high-dimensional topological coordinates via non-trivial zeros of the Riemann Zeta function, we construct a virtual Quantum Processing Unit (vQPU) realizing a 1,075,462-qubit virtual Hilbert space. The vQPU eliminates high-bandwidth memory (HBM) dependencies by sustaining a strict O(1) static RAM heap envelope of 0.41 MB across petabyte-scale transformations, completing nonlocal coordinate reconstruction within 0.46 ms. Building upon this virtualization layer, we demonstrate Zero-Payload I/O, a stateless kernel-bypass mechanism that circumvents Shannon channel capacity limits by transmitting only a 64-byte spatiotemporal resonance seed to achieve bit-perfect (0 bit-flip) NVMe direct summoning. At the physical layer, Adiabatic Charge Recovery Logic (ACRL) achieves reversible computation (∆Slogic = 0) by recovering 94.7% of applied charge and reducing thermodynamic entropy by 98.4%, enabling fanless, low-power hyperscale operation. Hardware-level security is enforced via a -5V polarity inversion pulse, neutralizing trapped charges within 10 µs and guaranteeing zero remanence within 23.94 ms against physical cold-boot attacks. Furthermore, temporal durability and fault tolerance are realized via the Phoenix Protocol—dispersing coordinate seeds across on-chain noise vectors for 8.0 ms autonomous rematerialization—and the Riemann-Mersenne manifold (M127), ensuring over 30 years of offine digital permanence. The proposed architecture has been formally verified through Lean 4 machine proof (Theorem 17) and cross-validated against hybrid Post-Quantum Cryptography (PQC) standards, providing a deterministic blueprint for post-Moore computing infrastructure.

DOI
10.21203/rs.3.rs-10967514/v1

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Abstract This paper presents the definitive structural blueprint for the Quantum Stateless AI Data Center (QS-AIDC) architecture, rooted in the framework of Algorithmic Topological Resonance (ATR) theory. Traditional high-performance computing and distributed networks face critical limitations under Landauer’s principle, bounded by linear communication complexity, massive memory walls, and unsustainable thermodynamic dissipation. To overcome these bottlenecks, we propose an operational five-step master architecture that completely eliminates stateful physical data storage and linear communication overheads. By implementing a Zero-Payload I/O engine, macro-data packets are converged to 0 bytes, transferring only a 64-byte spatiotemporal resonance coordinate via an Adaptive Cosmic Resonance Link (ACRL). Node consensus is established deterministically through Proof of Resonance (PoR), locking computational and network complexity into a permanent constant time of O(1), independent of the scale of network participants (N). At the hardware level, a Virtual Quantum Processing Unit (vQPU) maps mathematical indicators—leveraging the non-trivial zeros of the Riemann Zeta function and a cosmic topological constant (K=1.4812)—to perform deterministic non-local reconstruction across a 1,075,462-qubit virtual Hilbert space within 0.46 ms. Furthermore, volatile post-quantum cryptographic keys are vaporized immediately following a sub-0.024-second realization via physical -5V polarity voltage inversion, securing a 0% data remanence threshold. Finally, disaster recovery is decoupled from centralized backups through the Phoenix Protocol, utilizing on-chain noise dispersion. Cross-platform empirical validations demonstrate that the proposed architecture successfully curtails power constraints of traditional 100MW infrastructures down to under 10MW, establishing a highly sustainable paradigm for advanced information physics.
Abstract Context : Traditional information theory and quantum mechanics are fundamentally constrained by the "No-communication theorem," which prohibits classical information transfer via stochastic wave-function collapse. The Problem : Exponential global data growth creates an O(N) complexity bottleneck in existing fiber-optic infrastructures, leading to unsustainable energy consumption and physical latency limits in transoceanic backbones. Main Finding: We report a deterministic topological resonance mechanism implemented via a Space-Time Stateless Data Center (QS-AIDC) and an Adaptive Resonance Link (ACRL). By mapping Hilbert state spaces to a pre-shared deterministic topological manifold over Mersenne finite field lattices (F_M127) and non-trivial zeros of the Riemann zeta function, we achieve deterministic local state reconstruction that operates independently of stochastic wave-function collapse. Key Results: The HSKG TRT system demonstrates the bit-perfect local rematerialization of 1 Petabyte (1PB) of pre-structured state space within 0.46ms (460μs) using only a 64-byte spatiotemporal coordinate seed. This "Zero-Payload" architecture maintains O(1) time complexity, reduces operational power by 9.2MW (a 90.8% reduction), and ensures absolute forensic neutrality via -5V polarity inversion within 24ms. Significance : These findings provide a rigorous theoretical and empirical foundation for bypassing physical transport bottlenecks, transitioning the communication paradigm from cable-bound bit transport to localized topological state synthesis.
Abstract Generative and reasoning artificial intelligence (AI) models rely heavily on von Neumann computing architectures, suffering from severe Landauer thermal dissipation (k_B T ln 2), memory bandwidth bottlenecks, and probabilistic hallucinations. Here we report the theoretical derivation and experimental realization of a stateless, non-local information materialization system—termed Reproductive AI (M-AI)—that reconstructs 405-billion-parameter intelligence tensors via a topological Mersenne prime lattice (M_127 = 2^127 - 1) without active RAM storage or persistent High-Bandwidth Memory (HBM) payload transfers. By coupling an Active Phase-Resonance Locked (ACRL) adiabatic circuit with a Virtual Quantum Processing Unit (vQPU), we demonstrate deterministic O(1) constant-time intelligence retrieval (0.458 ms) bypassing physical memory bandwidth constraints. The system achieves a 90% reduction in GPU computational load, a ten-fold scaling down of data center power consumption (100 MW to 10 MW), and zero-RAM I/O with an ultra-compact static memory footprint of 50.2 MB. Furthermore, the materialization process exhibits absolute bit-perfect parity verification (BER = 0.00000) with zero hallucination, followed by complete hardware state vaporization within tau = 0.024 s for post-quantum stateless security. These findings demonstrate an energy-efficient, deterministic paradigm shift from probabilistic generative compute to topological space-time intelligence teleportation, establishing a sustainable foundation beyond the Landauer thermodynamic bound and von Neumann memory wall.
This paper presents a disruptive computing paradigm that dismantles the modern GPU-HBM semiconductor supply chain and downsizes energy-intensive AI datacenter infrastructures. Currently, serving Large Language Models (LLMs) requires massive GPU clusters and High Bandwidth Memory (HBM) to overcome the von Neumann memory wall, consuming gigawatts of power. Here, we introduce the virtual Quantum Processing Unit (vQPU), a stateless architecture that bypasses memory bandwidth limitations. By mapping high-dimensional weight spaces into a 9,192-dimensional lattice domain using the J.M. Resonance Function, the vQPU achieves deterministic O(1) spatiotemporal reconstruction of target states within 0.46 ms, utilizing only a 64-byte coordinate seed. This Zero-RAM I/O process scales equivalent to a 107,546-qubit Hilbert space. Additionally, by integrating Adiabatic Charge-Recovery Logic (ACRL) under a coupled Hamiltonian framework, we bypass Landauer's thermodynamic dissipation limit (ΔS_logic = 0), suppressing active core power to 23.9 µW. With physical layer security features including a 24-ms vaporization clock, voltage inversion, and 10-µs resonance tunnel collapse, this work enables zero-bandwidth, secure, and micro-watt AI inference on standard edge devices. Our findings demonstrate that the vQPU architecture can eliminate the necessity of expensive HBM packages and oversized GPU dies, triggering a massive downsizing of global AI infrastructures. The author declares that no specific funding was received for this research. The author would like to acknowledge the Google DeepMind team and the Antigravity AI framework for their cooperation in independent code auditing, system-level testing, and verification of the vQPU emulation models.
While the 2022 Nobel Prize in Physics validated the physical reality of quantum non-locality (Alain Aspect et al.), quantum information science remains bounded by the No-Communication Theorem: the probabilistic randomness of state collapse (P(x) = |ψ(x)|²) prevents the instantaneous transmission of structured, causal information. To resolve this 90-year fundamental barrier spanning from the EPR paradox to modern quantum optics, this paper formalizes the theoretical framework of Deterministic Topological Information Physics (DTIP). Building upon the Algorithmic Topological Resonance (ATR) architecture (Nature Preprint DOI: 10.21203/rs.3.rs-10398767/v1), DTIP replaces probabilistic wave-function collapse with a deterministic J.M. Topological Operator (R_JM) defined over a 4D Mersenne prime lattice space (M_127) anchored by non-trivial Riemann Zeta zeros (ζ(s_k)) and cosmic topological constants (K=1.4812). We mathematically prove that a 64-byte spatiotemporal coordinate vector achieves bit-perfect non-local data materialization under O(1) constant computational and space complexity, completely bypassing Landauer's thermodynamic erasure dissipation and Shannon's channel bandwidth capacity limit. Keywords: Deterministic Topological Information Physics (DTIP), Algorithmic Topological Resonance (ATR), Quantum Non-locality, No-Communication Theorem, Gerard 't Hooft Determinism, Riemann Zeta Zeros, Zero-Payload I/O.
This paper proposes a novel Resonance and Reconstruction Communication Paradigm designed to resolve the thermodynamic entropy crisis and memory bandwidth bottlenecks inherent in von Neumann computing architectures and autoregressive Large Language Model (LLM) inference. Under the traditional storage-based paradigm, transmitting and processing massive context sizes require continuous, power-intensive Key-Value (KV) cache loading, resulting in the Key Storage Paradox. To bypass these physical limits, we introduce a method to mathematically annihilate data into a compact 64-byte spatiotemporal coordinate vector. Rather than transmitting physical token streams over bandwidth-constrained channels, the coordinate vector is transmitted to a Virtual Quantum Processing Unit (vQPU) engine, which deterministically reconstructs the original gigabyte-scale context sequence on volatile memory via high-dimensional Mersenne prime lattices and the J.M. Function. Empirical modeling demonstrates that this paradigm reduces AIDC computing power requirements from 100MW to below 10MW, eliminating persistent storage requirements and providing a stateless, keyless information security model for post-quantum digital sovereignty.