A System and Method for Geometrodynamic State-Mapping and Haptic Guidance on a High-Dimensional Manifold

Abstract The present invention discloses a system and method for the dynamic modeling and real-time guidance of a user or system. The system comprises a sensor suite for acquiring multi-modal data, a data processing unit, and a sensory feedback module. The method involves receiving sensor data indicative of a user's kinematic, physiological, and contextual state; constructing a state vector representing the user's instantaneous state on a pre-defined, 11-dimensional, non-Euclidean manifold, herein termed the General Reality Manifold (GRM); computing an optimal trajectory, or geodesic, on said manifold from the user's current state to a target state; and generating real-time sensory guidance signals, preferably haptic, to direct the user's state evolution along the calculated geodesic. The invention may be embodied as a software application on a mobile computing device utilizing its native sensors, or as a system comprising a mobile device and a hardware accessory with advanced, proprietary sensors and high-fidelity haptic actuators.

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2025-09-23
DOI
https://doi.org/10.5281/zenodo.17182912
Primary Topic
Geochemistry and Geologic Mapping
Type
article
Field-Weighted Citation Impact
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article

A System and Method for Geometrodynamic State-Mapping and Haptic Guidance on a High-Dimensional Manifold

Zenodo (CERN European Organization for Nuclear Research)
Geochemistry and Geologic Mapping
article

A System and Method for Geometrodynamic State-Mapping and Haptic Guidance on a High-Dimensional Manifold

article en

Abstract

Abstract The present invention discloses a system and method for the dynamic modeling and real-time guidance of a user or system. The system comprises a sensor suite for acquiring multi-modal data, a data processing unit, and a sensory feedback module. The method involves receiving sensor data indicative of a user's kinematic, physiological, and contextual state; constructing a state vector representing the user's instantaneous state on a pre-defined, 11-dimensional, non-Euclidean manifold, herein termed the General Reality Manifold (GRM); computing an optimal trajectory, or geodesic, on said manifold from the user's current state to a target state; and generating real-time sensory guidance signals, preferably haptic, to direct the user's state evolution along the calculated geodesic. The invention may be embodied as a software application on a mobile computing device utilizing its native sensors, or as a system comprising a mobile device and a hardware accessory with advanced, proprietary sensors and high-fidelity haptic actuators.

Zenodo (CERN European Organization for Nuclear Research)
Istanbul Medipol University (TR)
Openalex Percentile: Top 30%
Geochemistry and Geologic Mapping
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