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Horizon Encoded Hilbert Dynamics

Mainak Malakar

Published Jun 15, 2026• 0 citations
Publisher

Abstract

This theoretical paper introduces and explores Horizon Encoded Hilbert Dynamics, a novel mathematical and physical framework developed by Mainak Malakar to model complex, highly dense state spaces. By analyzing how quantum information is structured at critical boundaries, the research integrates dense Hilbert space configurations with spacetime horizons to provide novel insights into the fundamental nature of dynamic systems. Key focal areas of this paper include: • Boundary Encoding: Investigating how state information is mapped, constrained, and conserved at physical and theoretical horizons. • Crowded State Topologies: Mathematical modeling of ultra-dense or infinite-dimensional Hilbert spaces where traditional isolation assumptions break down. • Dynamic System Evolution: Developing new approaches to track how complex systems transition across highly congested quantum or thermodynamic thresholds. This work aims to bridge foundational gaps in quantum mechanics, theoretical astrophysics, and complex dynamic systems by formalizing the constraints and emergent properties of horizon-encoded Hilbert states.

DOI
10.5281/zenodo.20700388

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