Shipped Products · 2024–2026

Bee Ships Software.

Nine live products. Eight books. Thirty patents. One geometric framework. Each product applies the Davis Field Equations to a different domain — from financial reconciliation to plasma diagnostics to drug discovery. All share the same identity: S + d² = 1.
9
Live Products
30
Patents Filed
10
Books Published
1
Math
01 — Products

Live Systems

Production systems running today. Each applies the Davis Field Equations to a different problem domain. All verify every decision with S + d² = 1.
02 — Publications

Books & Papers

The Geometric Intelligence series and preprints documenting the Davis Field Equations and their applications across domains.

Hidden Variable

Book · 2025 · Amazon
From a childhood IQ diagnosis to NASA and algorithmic justice. A manifesto on finding what systems hide.

The Geometry of Sameness

Book · 2025 · #1 New Release
Proves production ML and Riemannian manifolds tell the same story, yielding error guarantees that survive coordinate changes.

The Geometry of Medicine

Book · 2024
Reimagines health as geometric coherence on the Davis Manifold — stability as a path, not the absence of disease.

The Geometry of Fuel

Book · 2025
From the Davis Law to topological vacuum rectification. A unified framework connecting inference, physics, and energy.

The Geometry of War

Book · 2025
What if war could be predicted like weather? The mathematics of flow, curvature, and topological collapse applied to geopolitical conflict prediction.

SUPERFLUID: The Geometry of Velocity

Book · 2025
Five Millennium Prize problems are one problem in five languages. C = τ / K. Every transition from smooth to rough obeys this law.

Fly Into The Sun

Astralis Series · Science Fiction
Hard sci-fi exploring consciousness, identity, and the geometry of interstellar travel.

A Pale Jewel

Astralis Series · Science Fiction
The continuation of the Astralis saga — where geometry meets the stars.

Murder Me Lovely

Astralis Series · Science Fiction
A genre-bending thriller woven through the Astralis universe.

Motion to Be Seen

#1 Amazon Bestseller
One Black trans woman's fight for algorithmic justice.

The Field Equations of Semantic Coherence

Preprint · Zenodo · 2025
The formal derivation of S + d² = 1 and the Davis Field Equations from first principles. 89 mathematical results.

The Davis Conjecture on Semantic Coherence

Preprint · Zenodo · 2025
Context windows as holonomy horizons. Proves effective reasoning horizons arise from holonomy accumulation, not memory constraints.

The Geometry of Generative Reasoning

Preprint · Zenodo · 2025
Gauge-theoretic transformers as realizations of semantic sameness. Error budget transfer theorems for high-stakes deployment.

The Geometry of Sameness

Preprint · Zenodo · 2025
An ε-equivalence of translation and distance. Unifies translation-based and geometry-based semantic equivalence through category theory.

The Davis Manifold

Preprint · Zenodo · 2025
Geometry-first detection with compositional error budgets. Riemannian state spaces with bounded geodesic-Euclidean distortion.

Spectral Geometry of Transformer Cognition

Preprint · Zenodo · 2025
Heat kernel analysis reveals functional organization in language models. Information diffusion patterns on activation manifolds.

Davis Cache

Preprint · Zenodo · 2025
O(1) reasoning state preservation via topological residue. Constant-time semantic computation across variable-length contexts.

Curvature-Guided Wavefront Execution

Preprint · Zenodo · 2026
GPU-accelerated CSP solving. 40,128× faster than LeCun's EBM. 1,226× faster than Python CPU.

Davis Manifold Framework for PageRank

Preprint · Zenodo · 2026
Curvature-driven iterative solvers. Geometric mixing time prediction enables adaptive solver selection for large-scale graphs.

Davis Manifold Framework for SSSP

Preprint · Zenodo · 2026
Curvature-aware single-source shortest paths. Provable performance guarantees across heterogeneous graph topologies.

Yang-Mills Mass Gap

Preprint · Zenodo · 2025
Information-geometric reduction. Topological charge incompressibility implies gauge field distinguishability carries intrinsic energy cost.

Davis-Landau Sonic Onset Law

Preprint · Zenodo · 2026
Universal critical velocity for vortex nucleation in Bose-Einstein condensates. Superfluid phase transitions via curvature thresholds.

Dual-Torus Architecture in SHA-256

Preprint · Zenodo · 2025
Carry-field tomography reveals asymmetric subsystem design. Geometric analysis with implications for cryptographic security.

P ≠ NP under Davis Axioms

Preprint · Zenodo · 2026
Geometric separation of polynomial and exponential energy landscapes via curvature-based complexity barriers.

Holonomy-First Navier-Stokes Regularity

Preprint · Zenodo · 2026
Geometric proof via the Davis Field Equations. Curvature bounds on fluid-flow manifolds prevent finite-time singularity formation.

The Hodge Conjecture

Preprint · Zenodo · 2026
A Davis Field Equations resolution. Cohomological constraints on algebraic cycles arise from semantic curvature conditions.

Davis-Wilson Flow as Ricci Flow

Preprint · Zenodo · 2026
Independent gauge-theoretic proof of the Poincaré Conjecture via cache space collapse mechanisms.

Predicting Interstate Conflict 72 Days in Advance

Preprint · Zenodo · 2025
Topological approach to weaponized interdependence. Geometric signatures of systemic stress enable early warning.

Adaptive Embedding Format Switching

Preprint · Zenodo · 2025
Semantic translation in high-volume telemetry systems. NASA-scale processing with adaptive optimization.

PRISM v4.1

Preprint · Zenodo · 2025
Risk-aware multi-rail payment reconciliation. NASA safety-critical patterns adapted to financial infrastructure.

HERALD

Preprint · Zenodo · 2025
High-resolution early recognition of antigenic landscape divergence. Would have identified Omicron 18 days before WHO.

MIRADOR

Preprint · Zenodo · 2026
Geometry-first vaccine and antibody design via mirror manifolds. Inverted error budgets certify coverage rather than bound failure.

BRIDGE

Preprint · Zenodo · 2025
Deterministic replay for hybrid AI-assisted operational procedures. Complete audit trails for mission-critical systems.

Why the Universe Looks Random (And Isn't)

Preprint · Zenodo · 2026
Topological phase transition at the edge of observability. Davis capacity C = τ/K measures whether compact topology is detectable.

Smooth 4-Dimensional Poincaré Conjecture

Preprint · Zenodo · 2026
Whitney embedding via curvature flow. Resolves the last remaining case of the generalized Poincaré conjecture.

The Crouzeix Conjecture

Preprint · Zenodo · 2026
Shift extremality and the curvature budget. Proves ||p(T)|| ≤ 2·sup|p(z)| over the numerical range — sharp constant 2.

Geodesic Confinement Resolves the Invariant Subspace Problem

Preprint · Zenodo · 2026
Self-commutator curvature confines orbits. The 72-year open problem resolved via curvature energy Q(x) = ||T*x||² − ||Tx||².

Geometric Intelligence Series

6-Volume Series · Amazon
The complete theoretical framework. Six volumes covering sameness, medicine, fuel, computation, and beyond.
03 — Intellectual Property

Patent Portfolio

30 provisional patents filed between October 2025 and March 2026 — one every 4.6 days. Covering geometric reconciliation, privacy-preserving embeddings, plasma diagnostics, vulnerability detection, and GPU execution.
30
Provisional patents filed across geometric intelligence, financial technology, cybersecurity, healthcare, and energy.
Oct 2025 – Mar 2026
Patent 64/005,710 — Privacy-preserving financial transaction reconciliation via non-invertible geometric embeddings on fiber bundle manifolds. 18 hardened claims. Claim 18: single embedding simultaneously provides matching AND privacy at zero overhead.
Mar 14, 2026
01
MIRADOR: Manifold-Informed Rational Architecture for Drug-Organism Response, Geometric Optimization of Therapeutic Coherence with Resistance Prediction via Escape Geodesics on Drug-Target Fiber Bundles
64/012,328
02
DHOOM: System and Method for Human-Readable Data Serialization via Fiber Bundle Geometry with Positional Encoding and Trailing Default Elision
64/008,940
03
PRISM: System and Method for Privacy-Preserving Financial Transaction Reconciliation, Screening, and Monitoring via Non-Invertible Geometric Embeddings on Fiber Bundle Manifolds
64/005,710
04
CHIHIRO: System and Method for Real-Time Plasma Confinement Stability Monitoring via Spectral Gap Analysis and Geometric Capacity Metrics
63/998,346
05
MARCELLA: System and Method for Geometric Token Representation and Riemannian Transport-Based Sequential State Accumulation in Neural Sequence Processing
63/987,248
06
System and Method for Curvature-Guided Wavefront Execution for GPU-Accelerated Constraint Satisfaction on a Discrete Riemannian Manifold
63/977,065
07
PSYCHOHISTORY: System and Method for Topological Conflict Prediction via Geopolitical Helicity Metrics and the Davis Framework
63/972,955
08
Curvature-Aware PageRank via Geometric Mixing Time Prediction
63/962,557
09
Curvature-Aware Adaptive Algorithm Selection for Single-Source Shortest Path Computation
63/962,503
10
Systems and Methods for Vulnerability Discovery via Riemannian Manifold Embedding and Principal Geodesic Hashing
63/950,401
11
Bidirectional Spectral Methods for Vulnerability Exploitability Assessment: Dual-Manifold Heat Kernel Analysis for Attack Path Validation in Software Systems
63/949,410
12
Geometric Attack Surface Mapping via Spectral Graph Theory and Differential Geometry
63/948,177
13
Systems and Methods for Manifold-Native Deep Learning with Geodesic Optimization and Riemannian Parameter Spaces
63/944,685
14
GIGI: Geodesic Data Storage System: Constant-Time Semantic Retrieval via Manifold-Encoded Storage Architecture
63/943,643
15
Geodesic Hash Functions: Quantum-Resistant Cryptographic Hashing via Riemannian Manifold Trajectory Encoding
63/943,640
16
HELICITY: System and Method for Topological Risk Detection in Financial Markets via Economic Helicity Metrics
63/935,782
17
System and Method for Maturation of Quantum Vacuum Topology via Non-Abelian Gauge Field Configurations
63/933,399
18
TESSERA: Transfer-Enabled Segmented Surveillance of Emergent Resistance in Antimicrobials
63/933,236
19
System and Method for Geometric Verification and Optimization of Gauge Field Configurations via Topological Cache Mapping
63/933,108
20
GEODESIC: Genomic Evolution on Davis-Embedded Surfaces for Integrated Cancer Detection
63/931,845
21
Systems and Methods for Differential Diagnosis and Location-Specific Treatment of Transformer Neural Network Pathologies
63/928,125
22
Systems and Methods for Extending Transformer Reasoning Horizons via Curvature-Based Residual Damping at Inference Time
63/928,121
23
Systems and Methods for Fixed-Size Reasoning State Representation via Topological Residue in Neural Networks
63/927,445
24
Systems and Methods for Determining Effective Context Length via Holonomy Horizons on Activation Manifolds in Transformer Networks
63/927,434
25
Geometric Phase Transition Detection, Heat-Kernel-Based Attention Head Scoring, and Clinical Health Monitoring for Transformer Optimization
63/926,936
26
Systems and Methods for Geometrically Stable Generative Reasoning via Residual Adapters, Subspace Projections, and Adaptive Step-Size Control
63/925,372
27
Functorial Transformers with Holonomy-Based Training and Topology-Aware Acceleration
63/924,487
28
HERALD: High-Resolution Early Recognition of Antigenic Landscape Divergence
63/919,085
29
Context-Keyed Patch-Twin Discovery with Calibrated PU Learning and k-Map Risk Propagation
63/919,584
30
Multi-Horizon Expert Feedback Integration System for Adaptive Real-Time Decision Systems
63/908,640
04 — Foundation

One Math

Every product, every paper, every patent traces back to two equations from the same geometric framework. The Davis Law governs how systems behave. The Davis Identity proves every decision. Together they apply unchanged across financial transactions, plasma stability, language models, constraint satisfaction, and geopolitical prediction.
C = τ / K
The Davis Law — Capacity, Tolerance, Curvature
S + d² = 1
The Davis Identity — Sameness, Distance, Proof
→ How it all connects