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Thermodynamic Viability and the Universality of Feynman Matter

Rowan Brad Quni-Gudzinas

Published Dec 23, 2025• 0 citations
Publisher

Abstract

The dominant paradigm for universal quantum computation, predicated on active error correction, is fundamentally constrained by a thermodynamic wall, a phase transition where the entropy produced by control operations catastrophically overwhelms the system. This study quantifies this constraint, identifying a colossal “Protection Deficit” of approximately $10^{12}$ between the metabolic efficiency of biological systems and the energy cost of state-of-the-art engineered quantum processors. To resolve this thermodynamic crisis, we propose a shift from “forced” discrete control to “geodesic” evolution on a quantum information manifold. Through a stochastic master equation simulation, we compare a high-forcing “Shor” protocol against a low-forcing “Feynman” protocol. The simulation results are definitive: the Shor protocol breaches the thermodynamic wall in microseconds, dissipating 52.5 J, while the Feynman protocol, leveraging passive protection from high topological complexity ($Q=5$) and chirality ($\lambda=0.9$), maintains a fidelity of $>0.99$ for over a second with a minimal energy cost of 4.0 J. This work refutes the “Myth of Specialization” by invoking the AQC equivalence theorem, which proves that Hamiltonian-based systems (“Feynman Matter”) are computationally universal. We argue that Feynman Matter is not a niche simulator but the only thermodynamically viable substrate for a universal quantum computer, acting as a “Layer 0” error suppression layer that makes a subsequent, minimal active code tractable. This hybrid model resolves the Feynman-Shor bifurcation, with biological intelligence, validated by recent lithium isotope experiments, serving as the ultimate existence proof of a universal geodesic computer.

DOI
10.5281/zenodo.18036068

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The dominant paradigm for universal quantum computation, predicated on active error correction, is fundamentally constrained by a thermodynamic wall, a phase transition where the entropy produced by control operations catastrophically overwhelms the system. This study quantifies this constraint, identifying a colossal “Protection Deficit” of approximately 101210^{12}1012 between the metabolic efficiency of biological systems and the energy cost of state-of-the-art engineered quantum processors. To resolve this thermodynamic crisis, we propose a shift from “forced” discrete control to “geodesic” evolution on a quantum information manifold. Through a stochastic master equation simulation, we compare a high-forcing “Shor” protocol against a low-forcing “Feynman” protocol. The simulation results are definitive: the Shor protocol breaches the thermodynamic wall in microseconds, dissipating 52.5 J, while the Feynman protocol, leveraging passive protection from high topological complexity (Q=5Q=5Q=5) and chirality (λ=0.9\lambda=0.9λ=0.9), maintains a fidelity of >0.99>0.99>0.99 for over a second with a minimal energy cost of 4.0 J. This work refutes the “Myth of Specialization” by invoking the AQC equivalence theorem, which proves that Hamiltonian-based systems (“Feynman Matter”) are computationally universal. We argue that Feynman Matter is not a niche simulator but the only thermodynamically viable substrate for a universal quantum computer, acting as a “Layer 0” error suppression layer that makes a subsequent, minimal active code tractable. This hybrid model resolves the Feynman-Shor bifurcation, with biological intelligence, validated by recent lithium isotope experiments, serving as the ultimate existence proof of a universal geodesic computer.
This study establishes a rigorous quantitative boundary between engineered quantum systems and biological matter, defined by the thermodynamic cost of information protection. By benchmarking the 2025 Google “Willow” superconducting processor—which requires cryogenic isolation (20 mK) and active error correction to achieve a logical coherence time of 291 μs—against the biological requirement of 25 ms at 310 K, we identify a protection deficit of approximately 101210^{12}1012. We demonstrate that standard gravitational collapse models (Orch OR) are falsified by radiative constraints (R0R_0R0​ limits) from underground experiments. Consequently, we propose and validate a hybrid architecture: nuclear spin memory (Posner molecules) stabilized by cytoskeletal chaperones, linked by chiral spintronic wires (microtubules), and read out via spin-gated ion channels. This model satisfies all physical constraints and is corroborated by recent experimental evidence of lithium isotope fractionation in calcium phosphate chemistry.
The scalability of Topological Quantum Computing (TQC) is currently impeded by a “Thermodynamic Wall,” where the entropy generation from active error correction cycles scales exponentially with logical qubit count. This paper proposes a paradigm shift from active gate synthesis to passive topological relaxation, grounded in the Quni-Gudzinas hypothesis (2025). By establishing a rigorous functorial isomorphism between the inverse limit of abelian anyonic braid groups and the p-adic solenoid (Σp\Sigma_pΣp​), we demonstrate that the vacuum structure of specific strain-engineered materials can encode topological quantum information. We derive a 2D Hamiltonian for a hierarchical “synthetic vacuum” where relaxation dynamics follow an ultrametric trajectory, effectively freezing the system into a protected topological sector without external intervention. While this architecture is limited to abelian topological sectors and thus functions primarily as a quantum memory rather than a universal processor, simulation results indicate that it reduces thermodynamic overhead by orders of magnitude compared to surface code implementations, offering a viable path toward macroscopic fault tolerance for storage.
ABSTRACT The pursuit of quantum supremacy is currently bottlenecked not merely by engineering constraints, but by the fundamental thermodynamic limits of error correction and decoherence. While contemporary hardware engineering approaches this instability primarily as a challenge of cryogenic isolation, we propose a paradigm shift by bridging quantum information science with neurocomputational thermodynamics. By applying the High Entropy Predictive Organization Efficiency (HEPOE) framework to quantum architecture, we propose that the biological Sentinel Phenotype acts as a macro-scale analogue to quantum superposition, maintaining predictive hyper-coherence at a massive metabolic cost. Furthermore, we establish a structural isomorphism between neurodivergent architectures and quantum bit (qubit) instability. We map thermodynamic impedance, analogous to the P-FIT bus resistance and data overload in the Autism Spectrum phenotype, onto the quantum noise that necessitates massive error-correction overheads. Simultaneously, we map flux oscillation, analogous to dopaminergic volatility in the ADHD architecture, onto quantum phase-flip errors and electromagnetic instability. Ultimately, we demonstrate that Landauer’s Principle dictates an inescapable thermal boundary for both high-fidelity biological systems and scalable quantum networks, offering a unified biophysical theory of universal high-fidelity computation. Keywords: HEPOE Theory. Quantum Decoherence. Biological Qubits. Landauer’s Principle. Thermodynamic Impedance. Quantum Error Correction (QEC). Sentinel Phenotype. Phase-Flip Errors.
A fundamental gap in quantum thermodynamics is resolved through the derivation of a single operational constraint that closes information gain, memory cost, and measurement back-action into a unified informational budget. It is demonstrated that bandwidth-limited acquisition and measurement-driven control emerge as fundamental consequences of this budget. A universal Critical Bandwidth is identified, marking the threshold where classical dissipation necessitates a transition to quantum-entangled states. This framework is validated by an empirical audit of the human cortex, identifying a 35:1 communication-to-computation energy ratio as the definitive thermodynamic signature of the Entanglement Heat Premium. The discovery of a scale-invariant efficiency constant, establishes the human brain as a near-optimal quantum-limited engine. These results provide a unified scaling law for the energetic limits of intelligence, bridging the gap between superconducting qubits and biological consciousness.
This analysis reconstructs the divergent phylogenetic lineages of quantum computing, termed Feynman-Shor bifurcation. The field has split into two distinct ontologies: path A (mimetic simulation), rooted in Feynman’s original 1982 vision of structural isomorphism, which is inherently robust to noise and viable on current hardware; and path B (algorithmic calculation), defined by Shor’s 1994 factoring algorithm, which remains practically intractable due to the fragility of phase estimation without fault tolerance. While this bifurcation defines the current era of hardware development, the two paths are projected to converge at the ultimate physical limits of scale and fidelity, resolving into a single, universal paradigm of quantum computation.
The DSM-861 error-correction mechanism—defined as the instantaneous orthogonal projection Π861 onto the Heegner-rigid 861-node vorton lattice—is systematically applied and mathematically resolved across three disparate physical domains. (I) Quantum Memories: We unify the DSM-861 projection-enforced admissibility with the 2026 3D sheaf-code passive quantum memory (Balasubramanian et al., arXiv:2605.10943) and the classic 4D loop toric code (Dennis et al., 2002), demonstrating how arithmetic rigidity completely bypasses active decoder overhead to achieve hardware-level zero-drift. (II) Biological Error Catastrophe: We resolve the Meyer-Axe paradox of protein folding by quantifying the Spectral Admissibility Criterion (SAC). We establish the exact thermodynamic threshold linking admissibility gaps to folding free energy, formulate the topological restoration force, and derive the biological longevity limit as a deterministic consequence of KolmogorovArnold-Moser (KAM) stability breakdown. (III) KAN-DAM Quantum Computation: We prove the computational universality of the KAN-DAM framework, encoding states nonlocally across all 861 modes. We demonstrate that the system avoids the exponential scaling of volume-law entanglement by utilizing the Π861 projection as a continuous physical disentangler, bounding classical simulation complexity strictly to polynomial time O(N2log(1/)). This unified paradigm requires no external error-correcting codes, replacingprobabilistic syndrome measurements with deterministic geometric necessity.