I work on SPIRALbase and NDT AI — a research direction focused on associative memory, attractor dynamics, and scalable alternatives to transformer-style memory. The goal is memory as a structured landscape rather than token-by-token attention: shared cores, local context blocks, projector-gated access, and controlled bridges for selective recall, continual learning, and efficient long-context reasoning. Current work spans SPIRALbase P(k), Hybrid-J, and Noetic Diffusion Theory—toward practical, low-cost architectures for persistent, interpretable AI memory.
SPIRALbase
SPIRALbase is a research direction focused on developing scalable alternatives to transformer-style memory through block-structured associative memory and attractor dynamics. By representing memory as a structured, potential-indexed landscape rather than token-by-token attention, it enables efficient long-context reasoning, continual learning, and selective recall through access-gated projectors.
SPIRAL Cortex: A Policy-First Noetic Memory Architecture for Controlled Retrieval and Auditable Recall Langell, R. (2026). Zenodo. https://doi.org/10.5281/zenodo.20038833
SPIRALbase Hybrid-J: Block-Structured Associative Memory with Shared Core, Local Stability, and Controlled Proximity Bridges Langell, R. (2026). Zenodo. https://doi.org/10.5281/zenodo.19606865
SPIRALbase: Access-Gated Associative Recall via Metric-Derived Projectors Langell, R. (2026). Zenodo. https://doi.org/10.5281/zenodo.19559472
SPIRALbase: Structured Potential-Indexed Representation in Associative Landscapes Langell, R. (2026). Zenodo. https://doi.org/10.5281/zenodo.19541480
Noetic Diffusion Theory
Noetic Diffusion Theory (NDT) is a rhythmic, geometric framework for understanding how consciousness and neural state trajectories are reconstructed from noise. It provides a complete pipeline from theoretical mechanisms to measurement and visualization in "Meta-Noetic Phase Space" (MNPS), offering new ways to quantify cognitive health, entropy, and the dynamical geometry of experience.
- Website: noeticdiffusion.com
- GitHub: github.com/NoeticDiffusion
A Cytoskeletal-Dendritic Accessibility Model of Associative Memory (v.0.1.2) Langell, R. (2026). Zenodo. https://doi.org/10.5281/zenodo.20029440 DOI (latest): 10.5281/zenodo.19391708
Reduced Dynamical Capacity Does Not Imply Unconsciousness: Sleep, Propofol, and Epilepsy Dissociate in Transport Capture and Pathological Deformation (v.0.1) Langell, R. (2026). Zenodo. https://doi.org/10.5281/zenodo.19384063
State-Space Reachability and Local Jacobian Dynamics Across Canonical Sleep Stages (v.0.1) Langell, R. (2026). Zenodo. https://doi.org/10.5281/zenodo.18943755
NeuralManifoldDynamics: A Versioned Measurement Contract for Low-Dimensional Neural-Manifold Trajectories (v.0.1) Langell, R. (2026). Zenodo. https://doi.org/10.5281/zenodo.18943743
Manifold Traversability Dissociates Conscious Level from Neural Entropy: An Empirical Evaluation of Noetic Diffusion Theory https://zenodo.org/records/18543707 DOI (latest): https://doi.org/10.5281/zenodo.18140782
Reachability Cones as Local Capacity Geometry in Noetic Diffusion Theory https://zenodo.org/records/18527975 DOI (latest): https://doi.org/10.5281/zenodo.18527974
Noetic Diffusion Theory: A Rhythmic, Geometric Framework for Neural State Reconstruction and Conscious Correlates https://zenodo.org/records/18431950 DOI (latest): https://doi.org/10.5281/zenodo.17367307
Extreme Neurodynamic Regimes Reveal Meta–Noetic Dissociations https://zenodo.org/records/18405962 DOI (latest): https://doi.org/10.5281/zenodo.18071624
Reality from Noise https://zenodo.org/records/18301246 DOI (latest): https://doi.org/10.5281/zenodo.17648437
Dynamical Arrest Under Propofol: Reduced Traversability and Meta-Noetic Jacobian Flattening https://zenodo.org/records/17866987 DOI (latest): https://doi.org/10.5281/zenodo.17856521
Regional Meta-Noetic Phase Space in fMRI: Child–Adult Manifold Dynamics in a Naturalistic Movie https://zenodo.org/records/17803258 DOI (latest): https://doi.org/10.5281/zenodo.17802244
Microtubular Key-Lock Geometry https://zenodo.org/records/17686203 DOI (latest): https://doi.org/10.5281/zenodo.17686202
Stratified Meta-Noetic Phase Space: Unmasking Neural Mechanisms beneath the Manifold https://zenodo.org/records/17643473 DOI (latest): https://doi.org/10.5281/zenodo.17643472
Geometric Fingerprints of Alzheimer's Disease: First Visualization via Noetic Diffusion Mapping™ https://zenodo.org/records/17505072 DOI (latest): https://doi.org/10.5281/zenodo.17505071
The Meta-Noetic Jacobian: Measuring Second-Order Dynamics of Conscious Systems https://zenodo.org/records/17505011 DOI (latest): https://doi.org/10.5281/zenodo.17505010
Cross–Cohort Validation of Noetic Diffusion Theory: Event–locked Entropy Dynamics and Sleep Curriculum https://zenodo.org/records/17401135 DOI (latest): https://doi.org/10.5281/zenodo.17401134
The Synthetic Sleep Test: A Minimal Viable Experiment for Noetic AI https://zenodo.org/records/17388942 DOI (latest): https://doi.org/10.5281/zenodo.17388941