
TL;DR
This paper introduces a comprehensive theoretical framework for understanding Phygital Space as a unified, multi-dimensional ontological manifold, integrating geometry, thermodynamics, and dynamics, validated through analysis of China's e-commerce evolution.
Contribution
It formalizes Phygital Space using sheaf theory, Finsler geometry, and thermodynamics, providing a novel interdisciplinary approach to model digital-physical-social integration.
Findings
Validated the framework with a longitudinal study of Chinese e-commerce platforms.
Developed a thermodynamic model linking economic value to negentropy.
Proposed a theory of Temporal Shear to explain modern time pathologies.
Abstract
This paper proposes a Unified Field Theory of Phygital Space, positing that contemporary reality is not a dichotomy of "online" and "offline," but a unified ontological manifold of irreducible but coupled dimensions. We formalize Phygital Space as a sheaf over a topological site composed of the Physical (U), Networked Digital (D), and Networked Social (S) dimensions, grounded in Informaticity -- the triune capacity to compute, communicate, and control -- and instantiated through Platforms. We develop a rigorous framework incorporating Finsler geometry to model the inherently asymmetric costs of cross-dimensional interaction. We define Ontological Mass (mu) as a tensor quantity encoding resistance to change across coupled dimensions, and introduce autopoietic dynamics to account for the endogenous agency of persons, algorithms, and social formations. We propose a non-equilibrium…
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