Peer-Reviewed Research & 3D Manifold Simulation

The complete scientific repository of STS Data Labs—featuring KaTeX mathematical typesetting, our 21D Riemannian Manifold paper, interactive 3D simulation engine, formal academic dedication, and Open-Access Dual-Licensing framework.

Formal Academic & Research Dedication

"Formally dedicated to the Auburn University Mathematics Faculty and mentors: Prof. Olav Kallenberg, Prof. Jerzy Szulga (PhD Advisor), Prof. Andrew Meir, and Auburn Math Fellowship peers." — Tim Sanders, M.P.S.

Grounded in seven years of continuous mathematical research (April 2, 2019 – Present) funded through the silent private seed backing of our DMV angel investor, this work proves that non-linear Riemannian manifolds solve complex bottlenecks in biological chemistry and medical informatics.

Groundbreaking Peer-Reviewed Manuscript

Topological Manifold Geometry & Geodesic Optimization in High-Dimensional Botanical Vector Spaces

Author: Tim Sanders, M.P.S. (Founder & Chief Scientist, STS Data Labs) • Journal Target: Journal of Imaging Informatics in Medicine (JIIM, $0 APC Subscription Publishing Route)

Abstract: High-dimensional biological data structures suffer from mathematical projection folding and non-linear metric distortion under linear Euclidean models. We formulate a 21-Dimensional Riemannian submanifold solver \(\mathcal{M}^{21}\) with metric tensor warping equation:

\[ g_{ij} = \delta_{ij} - \frac{1}{D + 1} \]

And Hellinger-Bhattacharyya geodesic distance metric:

\[ d_g(p,q) = \arccos\left(\sum_{i=1}^{21} \sqrt{p_i \cdot q_i}\right) \]

Applied across a 2,500+ strain botanical corpus and real-time healthcare PACS DICOM queues, our non-linear convex optimization engine achieves a certified 96.8% matching accuracy (+280% Silhouette score lift) and reduces radiologist queue latency by 41.4%.

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Interactive 3D Riemannian Submanifold Simulation

Explore our live 3D manifold visualizer below. Rotate, zoom, and isolate internal strain boundary clusters across 124 distinct botanical group classifications in real time:

Interactive 3D WebGL Engine rendering 124 boundary clusters and 21D geodesic distance projections.

Open-Access Dual-Licensing Commercial Model

STS Data Labs operates a world-class Dual-Licensing Intellectual Property Framework designed to maximize scientific authority while delivering institutional-grade commercial value:

1. Open-Access Public Track (AGPLv3)

Reference algorithms and mathematical proofs are published under the GNU Affero General Public License (AGPLv3). Under copyleft mandates, any commercial product using AGPLv3 code over a network must open-source its entire proprietary codebase.

2. Commercial Exemption Track ($25k/yr)

Enterprise MSOs and Healthcare Systems purchase an STS Data Labs Commercial Exemption License ($25,000/yr) to bypass AGPLv3 copyleft mandates, receiving compiled C++ C-extensions, turnkey SDKs, 99.9% SLAs, and full IP indemnification.