A Study on Mersenne Prime Resonance-based Data Reconstitution and Stateless Security (HSKG) Mechanisms for Efficient Terrestrial and Space Data Center Management

This paper proposes a next-generation data reconstitution and security mechanism for high-speed, cost-effective data operations between terrestrial and space data centers. Traditional data transmission methods face limitations due to restricted bandwidth and security vulnerabilities in space-to-ground links. To address these challenges, this research introduces 'Mersenne Teleport' data reconstitution technology, leveraging the micro-convergence patterns of Mersenne prime distributions in the Riemann Zeta coordinate system. This technology maximizes transmission efficiency by replacing massive data with minimized coordinate values and precisely reconstituting the original data at the receiving data center. Regarding security, we propose the Hyper-Spatiotemporal Key Generation (HSKG) system, which fuses satellite orbital information with bio-spatiotemporal metadata to enable 'Stateless' security—authenticating users without storing cryptographic keys on space-based servers. The proposed model, achieving over 99.99% Riemann Alignment precision, will serve as a critical data management and security standard for the development of future space data hubs.