Version: v1.0 DESCRIPTION: We introduce Coherence Field Dynamics (CFD), a theoretical framework that extends holographic quantum gravity by promoting quantum coherence — the off-diagonal density matrix elements — to an independent geometric degree of freedom. While standard holographic frameworks (AdS/CFT, Ryu-Takayanagi) encode bulk geometry through entanglement entropy alone, CFD posits that coherence parameterizes effective bulk depth, complementary to entanglement's encoding of connectivity. The coherence field φ(p,γ) satisfies a wave equation in information-geometric parameter space, generating a Lorentzian metric that degenerates at a critical decoherence threshold γ_c. The framework predicts the existence of such a threshold from geometric stability analysis; its specific numerical value is system-dependent. Connections are established between information geometry, MERA tensor networks, and holographic entropy. The variational principle coupling coherence to an effective gravitational action is presented as an analogue gravity model (c and G are effective parameters), not a claim about physical 4D spacetime. Key results: Theoretical framework: coherence field equation, information-geometric metric, variational principle, and five testable predictionsCompanion experimental work demonstrates a fidelity threshold at γ ≈ 0.535 on IonQ Forte-1 (F = 0.988 baseline, collapse to F ≈ 0 under dephasing) and consistency with the dephasing response on Pasqal FRESNEL_CAN1 QPU (noise ratio 1.13×). These results are consistent with CFD's predicted critical behavior, though they do not uniquely distinguish CFD from standard noise models. The specific threshold value (0.535) is determined by the experimental circuit geometry, not derived from CFD aloneFour predictions remain open and experimentally accessible on current NISQ hardware: coherence-depth complementarity, MERA-decoherence correspondence, coherence-modulated entropy scaling, and hardware demonstration of non-trivial reversibilityThis paper presents the theoretical framework. The detailed experimental protocols and hardware data are reported in the companion publication "Cross-Platform Noise Thresholds in Quantum Teleportation: Trapped-Ion and Neutral-Atom Architectures" (see Related Identifiers).
Version: v1.0 DESCRIPTION: We introduce Coherence Field Dynamics (CFD), a theoretical framework that extends holographic quantum gravity by promoting quantum coherence — the off-diagonal density matrix elements — to an independent geometric degree of freedom. While standard holographic frameworks (AdS/CFT, Ryu-Takayanagi) encode bulk geometry through entanglement entropy alone, CFD posits that coherence parameterizes effective bulk depth, complementary to entanglement's encoding of connectivity. The coherence field φ(p,γ) satisfies a wave equation in information-geometric parameter space, generating a Lorentzian metric that degenerates at a critical decoherence threshold γ_c. The framework predicts the existence of such a threshold from geometric stability analysis; its specific numerical value is system-dependent. Connections are established between information geometry, MERA tensor networks, and holographic entropy. The variational principle coupling coherence to an effective gravitational action is presented as an analogue gravity model (c and G are effective parameters), not a claim about physical 4D spacetime. Key results: Theoretical framework: coherence field equation, information-geometric metric, variational principle, and five testable predictionsCompanion experimental work demonstrates a fidelity threshold at γ ≈ 0.535 on IonQ Forte-1 (F = 0.988 baseline, collapse to F ≈ 0 under dephasing) and consistency with the dephasing response on Pasqal FRESNEL_CAN1 QPU (noise ratio 1.13×). These results are consistent with CFD's predicted critical behavior, though they do not uniquely distinguish CFD from standard noise models. The specific threshold value (0.535) is determined by the experimental circuit geometry, not derived from CFD aloneFour predictions remain open and experimentally accessible on current NISQ hardware: coherence-depth complementarity, MERA-decoherence correspondence, coherence-modulated entropy scaling, and hardware demonstration of non-trivial reversibilityThis paper presents the theoretical framework. The detailed experimental protocols and hardware data are reported in the companion publication "Cross-Platform Noise Thresholds in Quantum Teleportation: Trapped-Ion and Neutral-Atom Architectures" (see Related Identifiers).
Overview This paper proposes a geometric interpretation of the recent landmark experiment by Biswas *et al.* (arXiv:2607.12047), who implemented the HaPPY holographic quantum error-correcting code on the IonQ Forte trapped-ion quantum computer and observed gravity-like signatures — proto-area entropy dependence on bulk entanglement that increases with injected magic. The experimental group identified three outstanding theoretical questions:1. Stochastic noise models alone cannot fully fit the data;2. The physical mechanism by which the slope increases with magic is unclear;3. The double-sided experiment has no first-principles prediction for the proto-area entropy. Contribution This work addresses all three questions through the **Holographic Information Stiffness (HIS-GR)** framework. The central result is a geometric relationship between the slope ∣m∣ and the injected magic M: ∣m∣(M)=∣m∣0(1+αM2),αtheo=42≈0.35355, where α is conjectured to originate from the intrinsic curvature K=1 of the qubit Bloch sphere projected onto the local stiffness response. The experimentally calibrated value αexp=0.355±0.042 is consistent with this geometric conjecture within 0.03σ. The framework provides a unified geometric interpretation of the three experimental phenomena — structural deviation from noise models, slope increase with magic, and the double-sided proto-area entropy — as manifestations of a single underlying mechanism: the stiffness response of virtual space to information perturbations. Key Results - **Mass–curvature correspondence**: The glueball mass maps to a virtual-space curvature radius Rvirtual≈0.082fm, consistent with the QCD confinement scale.- **Geometric origin of mixing**: The small mixing angle θ∼2∘–5∘ corresponds to a fiber-bundle overlap Ifiber∼0.1–0.3, quantifying the near-orthogonality between geometric modes and flavor-carrying matter excitations.- **Two testable predictions**: - Strong suppression B(X→γϕ)≪B(X→γω) in radiative decays; - Monotonic increase of the flavor-suppression ratio R(s) with local entropy density s in nuclear matter. Scope and Positioning This is a **high-level interpretive framework** — analogous to a high-level programming language that compiles to the same machine code as assembly language, but provides a fundamentally different abstraction layer. It does not replace AdS/CFT or lattice QCD calculations; rather, it offers a unified geometric language for otherwise disconnected phenomena and generates testable predictions for next-generation experiments.
Building on the frameworks established in On the Physical Consequences of Distinguishability and On the Stability and Collapse of Physical Information, this paper derives quantum state collapse and Einstein field equations from a single variational principle incorporating a holographic information constraint. Following Jacobson’s thermodynamic approach to gravity, I propose that representational capacity — quantified by the Bekenstein bound — constrains both geometric and quantum dynamics. The constraint is formalized using Kolmogorov complexity: quantum states satisfy K(ψ) ≤ Imax(g), where K(ψ) denotes the minimal algorithmic description length. Varying a total action under this constraint yields Einstein equations with an additional stress-energy contribution from information overflow, and a modified Schrödinger equation with a collapse term proportional to excess complexity. The collapse rate emerges as Γ = (c/R) · max(0, K(ψ) − Imax)/Imax, containing no free parameters. This framework suggests quantum collapse and gravitational curvature represent complementary responses to holographic saturation: energy excess induces curvature, information excess induces collapse. The approach makes testable predictions for interference visibility decay as a function of entanglement depth, distinguishable from existing objective collapse models.
Decoherence is the operative crisis of quantum computing——every architecture confronts it, and every proposed remedy carries a hidden cost in overhead, gap requirement, or temperature constraint. This paper derives, in full algebraic detail and without unexplained transitions, a holographic decoherence-suppression mechanism rooted in the AdS3/CFT2 correspondence, showing that the bulk--boundary geometry of three-dimensional anti-de Sitter space acts as a geometric filter that exponentially screens environmental noise from qubit degrees of freedom encoded in the helical edge modes of topological insulators and in trapped-ion chains. Starting from the chiral Luttinger liquid Hamiltonian of a quantum spin Hall edge, we derive the Virasoro algebra with central charge c, identify the bosonic density fluctuation δρ(x,t) as the boundary trace of a bulk dilaton field ϕ(z,x,t), solve the dilaton equation of motion step by step to obtain the bulk-to-boundary propagator, and couple it to the Lindblad master equation to derive the modified decoherence rate:γholo=γstdexp(−c2πΔnξl),TstdstdTstdholo=exp(6ξlnξl).. Every intermediate numerical estimate in the paper is anchored to independently measured material parameters: Fermi velocity vF, bulk gap Δgap, and coherence length ξ=ℏvF/Δgap. We derive explicit density--density correlation functions, dynamical structure factors, and out-of-time-order correlators (OTOCs), each carrying logarithmic holographic corrections testable by scanning tunneling microscopy, angle-resolved photoemission spectroscopy (ARPES), and Ramsey interferometry. Gate fidelities exceeding 99.9% are shown to be achievable for Majorana-based qubits when the geometric ratio satisfies L/ξ≳15withc≥2. Three experimental platforms are analyzed quantitatively: Bi2Se3 topological insulator edges, HgTe/CdTe quantum wells, and 171Yb+ trapped-ion chains, with detailed measurement protocols for each.
Contact Jonathan.duchesne@hotmail.com 418-953-0596 This thesis presents Time–Decoherence Gravity (TDG), a unified theoretical framework in which spacetime geometry, gravitation, and the physical flow of time arise from fundamental quantum decoherence. Rather than treating decoherence as an environmental or effective process, TDG builds on a covariant extension of the Gorini–Kossakowski–Sudarshan–Lindblad (GKSL) equation, where four directional Lindblad operators encode intrinsic, irreversible information loss. These operators define a “decoherence tensor,” which acts both as a memory of quantum irreversibility and as the generator of emergent spacetime geometry through a nonlinear constitutive relation. The theory provides a coherent gravitational collapse mechanism based on the incompatibility of decoherence patterns across quantum branches. This leads to an intrinsic “decoherence energy,” whose magnitude determines the collapse timescale, extending and generalizing the well-known Penrose–Diósi models. TDG predicts a smooth transition from persistent microscopic coherence to rapid macroscopic collapse. At cosmological scales, a homogeneous decoherence tensor naturally generates modified Friedmann dynamics, early-universe stiff-fluid behavior, and late-time acceleration without requiring a fine-tuned cosmological constant. Black-hole entropy emerges as a saturation of decoherence memory at the horizon, while Hawking radiation appears as the dissipative relaxation of this saturation. The theory also predicts short-range deviations from Newtonian gravity and a universal spectrum of fundamental gravitational noise. Finally, TDG offers several experimentally testable signatures involving optical clocks, mesoscopic interferometry, short-range force measurements, and correlated phase noise in global timing networks. The framework is internally consistent, falsifiable, and provides a novel and unified approach to the relationship between quantum mechanics, gravity, and the arrow of time.
We present the Dynamical Scalar Field Theory (DSFT), a complete and self- consistent framework that explains quantum entanglement as a topological remnant of the pre-Big Bang Euclidean phase. In this theory, entanglement is not a nonlocal correlation but a geometric property of spacetime: two entangled particles are connected by a static topological soliton (phase-locking filament) within which the effective metric becomes Euclidean (Ω = 0, dt = 0), rendering spatial separation meaningless. We derive the full Lagrangian from first principles, including non-minimal cou- pling to matter (ξϕ2ρm) and curvature (αϕ2R), and demonstrate the existence of stable soliton solutions via the Bogomol’nyi bound. The decoherence process is identified as a sudden geometric phase transition (Ω : 0 → 1) occurring on the Planck time scale (∼ 10−43 s), independent of spatial distance. A detailed numerical analysis resolves previous dimensional inconsistencies: the correct prediction for the soliton response time is τresp ≈ 5.4 × 10−42 s, not 85 as. The attosecond time scale can be recovered only by introducing a perturbative term γϕ˙2ϕ 2 with γ ∼ 1050, which acts as a dynamical slowing mechanism. We further derive a dynamic cancellation mechanism via α(ϕ) that maintains soliton stability across a wide range of matter densities. Our model predicts FQ ∼ 1049 for a macroscopic crystal at T ∼ 10 K, in quantitative agreement with the recent Nature Physics observation of multipartite entanglement in the strange metal CePdSi (Mazza et al., 2026). The framework offers seven distinct predictions, five of which are experimentally testable with current or near-future technology. This work establishes DSFT as a mathematically rigorous, falsifiable theory that bridges quantum information, condensed matter, and gravitational physics, providing a physical mechanism for entanglement without violating causality or Lorentz invariance. https://doi.org/10.5281/zenodo.20724433 New version of this DOI
Radial Coherential Dynamics (RCD) posits a scalar coherence field 𝒞 whose deco- herence drives phenomena from quantum circuit noise to cosmological dark energy. Two mature but disconnected modules exist: (i) a cross-platform analysis of GHZ state fidelity under dephasing-dominated noise, where a Lindblad model with local and col- lective dephasing channels produces a crossover at 𝑁⋆ ≈ 𝛾local/𝛾𝑐; and (ii) a cosmo- logical effective field theory in which a Caldeira–Leggett bath stabilizes a hilltop dark energy potential, with effective coefficients derived from an Ohmic spectral density parametrized by (𝜂, 𝜆, ΛUV). Here we construct a minimal phenomenological bridge between these modules by introducing a single dimensionless parameter 𝜀 ≡ 𝛾𝑐/𝛾local — the fraction of collective-to-local noise — and proposing, as an explicit ansatz, that 𝜀 is approximately scale-invariant. Under this ansatz, the laboratory measurement 𝑁⋆ ≈ 15–20 on IonQ Forte fixes 𝜀 ∈ [0.05, 0.07], which constrains the cosmological bath coupling 𝜂𝜆 to a narrow window. Conversely, the cosmological requirement of controlled backreaction imposes an upper bound 𝜀 < 𝜀max, predicting a lower bound 𝑁⋆ > 1/𝜀max testable in future multi-qubit experiments. For the benchmark param- eters of the HDE series, the three conditions (stabilization, backreaction, and QC data) overlap in the narrow window 𝜀 ∈ [0.05, 0.07], yielding a dark energy equation of state 𝑤0 ≈ −0.987, consistent with current DESI constraints. The bridge is explic- itly falsifiable: non-overlapping 𝜀 windows from QC and cosmology would refute the universal noise ansatz independently of the validity of either module.