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Florian Neukart has a total of 108 co-authors. Here are the top co-authors by number of shared publications:


Latest Publications

  • Open Access

    Finite Local Information Capacity in Continuum Dynamics

    by Florian Neukart, Eike Marx

    Finite-dimensional local Hilbert spaces are widely used as microscopic regulators and have also been proposed as a fundamental information-capacity property of space-time. A finite local dimension, however, is not equivalent to a spatial lattice spacing, and neither is equivalent to a coarse-graining scale. We formulate a regulator-resolved framework that keeps these three notions separate and defines finite-information deviations operationally as the failure of microscopic and effective time evolution to commute with a specified coarse-graining channel. The resulting deviation is a state- and observable-dependent quantity in a common effective state space rather than a formal subtraction of generators acting on different domains. Standard trace-distance, truncation, entropy-continuity, and multi-information results are assembled into a matching-path upper bound resolving capacity, spatial-discretization, and coarse-graining contributions; a finite-time capacity bound controlled by discarded state weight and leakage through the cutoff boundary; observable error bounds; and an exact distinction between block entropy and averaged one-cell entropy. An information-geometric expansion of a chosen nearest-neighbor distinguishability functional produces a leading Euclidean continuum form of nonlinear-sigma-model type. It is not an effective action derived from the microscopic Hamiltonian; a Lorentzian dynamical theory, and in particular a single entropy field, requires additional continuation, closure, and matching assumptions. Finally, we test finite-capacity convergence in an exactly evolved four-site periodic Klein–Gordon chain at the single lattice spacing a=1, varying the local number-state cutoff. Spectral peaks are extracted from dynamical matrix elements rather than imposed, while the dependence on a is evaluated analytically from the exact lattice dispersion. Ground-state, reduced-state, and entropy errors converge rapidly with local capacity, whereas the lattice–continuum discrepancy remains at fixed spacing. The contribution is a regulator-resolved conceptual framework and a reproducible benchmark for finite-information models, without claiming a new inequality or a unique microscopic theory of quantum gravity.

  • Open Access

    Effective imprint backreaction near Kerr horizons and black-hole shadow geometry

    by Florian Neukart, Eike Marx

    We analyze the leading stationary, axisymmetric near-horizon metric response associated with localized quantum-information imprinting at black-hole horizons. The shadow calculation is formulated explicitly as an effective theory in which the exterior response is weak, conserved, horizon localized, equatorially symmetric, regular on the future horizon, and asymptotically matched to Kerr. We construct a minimal localized deformation of the mass-dependent Kerr sector with isotropic and leading even-parity quadrupolar components. Double-root conditions yield first-order shifts of equatorial unstable photon-orbit radii and impact parameters, while the full perturbed capture boundary is obtained by Hamiltonian null-geodesic integration without assuming separability beyond Kerr. For the smooth reference sector, the common-grid shadow deformation is dominated by a fractional size shift and a leading quadrupolar contribution, with smaller higher even modes. Numerical ray tracing confirms linear scaling of the extracted low-order coefficients with the imprint amplitude throughout the perturbative range studied. Alternative smooth radial windows primarily rescale the response through their overlap with the photon region. We distinguish generic consequences of weak, conserved, horizon-localized backreaction from harmonic details that depend on the chosen effective response, providing a controlled and reproducible map from near-horizon quantum-information imprinting to black-hole shadow geometry.

  • Open Access

    Reversible imprinting and retrieval of quantum information: experimental verification of the Quantum Memory Matrix hypothesis

    by Florian Neukart, Eike Marx, Valerii Vinokur

    We report a hardware implementation of a reversible imprint-retrieval cycle motivated by the Quantum Memory Matrix (QMM) framework. Using IBM Quantum backends, we realize five circuits that scale from a minimal three-qubit memory cell to a five-qubit dual-cycle architecture, including variants with controlled phase evolution and deliberate perturbation. Because the circuit readout is based on computational-basis bit strings, the primary experimental metric is the basis-matched retrieval probability, $$P_{\textrm{ret}}=N_{\textrm{match}}/N_{\textrm{shots}}$$ P ret = N match / N shots , reported together with Wilson-score $$95\,\%$$ 95 % confidence intervals, Pearson correlations, and mutual information between field and output qubits. Across the five experiments, $$P_{\textrm{ret}}$$ P ret ranges from $$0.487\pm 0.017$$ 0.487 ± 0.017 in the evolution stress test to $$0.732\pm 0.012$$ 0.732 ± 0.012 in the baseline three-qubit cycle, with the dual-cycle and controlled-error variants remaining near 0.70 under realistic device noise. These results provide a proof-of-principle demonstration that finite-dimensional quantum registers can store and return basis-level information through local unitary gates. The experiments therefore support the operational imprint-retrieval primitive underlying QMM, while also identifying full state tomography as the next step toward verifying phase-coherent state recovery.

  • Sensitivity enhancement in superconducting-qubit magnetometry via two-level systems

    by Azat Gubaydullin, Vladimir Slepnev, Valerii Vinokur, Florian Neukart

  • Open Access

    Finite-Capacity Spacetime and Entropic Contributions to Cosmological Structure Formation

    by Florian Neukart, Eike Marx, Valerii Vinokur

    We investigatewhether a finite local information capacity of spacetime can account for the gravitational phenomena commonly attributed to cold dark matter. Starting from a covariant effective-field-theory description, we modelcoarse-grained entropy deposition as a dynamical scalar field S(x) whose stress–energy tensor contributes to structure formation. The macroscopic action contains a single dimensionless coupling λ multiplying the canonical kinetic term, ensuring ghost-free dynamics and conservation of the associated stress–energy tensor. In a slow-roll regime, defined by a covariant source term Γ≡S¨+3HS˙=0, where H is the Hubble parameter and overdot denotes derivative with respect to cosmic time, and |S¨|≪H|S˙|, the entropy sector behaves as pressureless dust at background and in linear order. Implemented in a modified Cosmic Linear Anisotropy Solving System (CLASS) Boltzmann solver, the entropy component fits Planck satellite 2018 cosmic microwave background (CMB) data, baryon acoustic oscillation (BAO) measurements, and the Pantheon + Type Ia supernova sample for 0.5≲λ≲2, while preserving the linear growth factor to within 0.2% over Euclid space telescope scales. To regulate ultraviolet contributions, we introduce a holographically motivated prescription in which gravitationally active entropy deposition is confined to causal two-surfaces, yielding a ρ∝r−2 halo envelope with a finite-density core determined by local entropy saturation. Fixing the flux scale A from astrophysical entropy budgets reproduces Milky-Way-mass halos without introducing fine-tuned length scales. Pilot N-body simulations that evolve the entropy field on a staggered grid reproduce the halo mass function down to 1010.5M⊙, mitigate the cusp–core and missing-satellite tensions, and remain consistent with cluster lensing constraints. On linear scales, the model predicts percent-level, scale-dependent deviations in the lensing convergence and matter power spectra, testable by Euclid space telescope, the Roman Space Telescope High Latitude Survey, and the CMB-S4 experiment.

  • Open Access

    A Theoretical Framework for Continuity-Preserving Brain Replacement Using Quantum-Enabled Nanoscale Systems

    by Florian Neukart

    This paper develops a theoretical framework for continuity-preserving brain replacement: the progressive substitution of biological neural tissue by artificial substrates while preserving functional, adaptive, and identity-relevant brain dynamics. The framework defines Functional Neural Replacement Units as scale-dependent biological-dynamical domains whose causal roles must be preserved within bounded error. It then formulates multiscale equivalence criteria for electrophysiological activity, spike timing, synaptic and plasticity state, molecular and metabolic variables, network contribution, and behavioral output. Replacement is modeled as a gradual hybrid biological-synthetic process governed by a replacement parameter, local and global admissibility conditions, online state acquisition, reversibility, and failure containment. Quantum-enabled nanoscale systems are treated as one candidate substrate, with a clear separation between near-term sensing and stimulation, intermediate quantum-inspired control, and long-term quantum-enabled components. The framework also derives feasibility constraints for power, heat, communication, latency, blood-brain barrier delivery, biocompatibility, immune response, and long-term stability. A staged simulation and experimental roadmap is proposed, together with explicit falsifiable failure criteria. The result is not a claim that whole-brain replacement is currently possible, but a scientific structure for determining whether progressive neural replacement can preserve brain function, memory, agency, and continuity under physically and biologically constrained conditions.

  • Open Access

    Renormalization-Group Structure and Phenomenology of Geometry-Information Duality

    by Florian Neukart

    We develop a scale-dependent effective-field-theory extension of the Geometry-Information Duality (GID). The informational sector is modeled by a coarse-grained scalar field $S(x)$ that represents collective information-theoretic structure within a finite-resolution description and contributes to gravitational dynamics through an effective stress-energy component. The field $S(x)$ is not assumed to be fundamental, and no microscopic derivation of this sector is claimed. Instead, we study the consequences of treating it as a local effective degree of freedom in a regime where a derivative expansion is justified. Using a functional renormalization-group (RG) formulation within a controlled truncation, we introduce scale-dependent couplings $G(k)$, $\Lambda(k)$, and $Z_S(k)$ and analyze their behavior under coarse-graining. Fluctuation effects generate higher-derivative operators in the informational sector, leading to corrections to the effective stress-energy tensor that are compatible with covariant conservation within the adopted truncation. We then explore the resulting scale dependence in black-hole, cosmological, gravitational-wave, and laboratory regimes. The results define phenomenological windows of sensitivity for constraining the effective informational sector rather than predictions of a complete microscopic theory.

  • Open Access

    Scan-calibrated search for a localized multi-spectrum oscillatory feature in Planck 2018 temperature and polarization data

    by Florian Neukart, Eike Marx

    We perform a fully scan-calibrated search for oscillatory features in the Planck 2018 TT, TE, and EE angular power spectra using analytic template amplitude estimation across a multi-parameter grid in frequency, phase, and scale. Statistical significances are derived from scan-matched Gaussian null ensembles that explicitly incorporate the full look-elsewhere effect. The joint TT+TE+EE scan yields a maximum improvement $\Delta\chi^2_{\mathrm{joint,max}} = 16.90$. Calibration against $10^5$ Gaussian realizations gives a global tail probability $p_{\mathrm{global}} \simeq 0.0030$, corresponding to a one-sided Gaussian-equivalent significance of approximately $2.75\sigma$ after full multi-parameter scan correction. Motivated by the localization of the best-fit basin, a restricted region-of-interest (ROI) analysis calibrated with $3\times10^5$ null realizations yields $p_{\mathrm{ROI}} \simeq 3.6 \times 10^{-4}$ (approximately $3.4\sigma$), with explicit tail-stability diagnostics. The preference is driven primarily by TE and exhibits coherent phase alignment across TT, TE, and EE. Robustness tests and injection--recovery experiments confirm estimator stability, while needlet-based higher-order statistics remain consistent with Gaussian expectations. Although the full-volume scan does not reach conventional discovery thresholds, the analysis identifies a statistically controlled localized multi-spectrum fluctuation and sharpens sensitivity bounds on oscillatory deviations from $\Lambda$CDM at Planck precision.