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Quantum State Inertial Curvature

Jincheng Zhang

Published Aug 17, 2026• 0 citations
Publisher

Abstract

This paper introduces the concept of Quantum State Inertial Curvature (QSIC), a novel theory proposing that inertia is not solely derived from mass, but originates from the intrinsic geometric properties of quantum states. Traditional inertia, as described by Newton's second law (F=ma), assumes inertia stems from an object's resistance to acceleration due to its mass. QSIC posits that distinct quantum structures fundamentally alter the way a system responds to changes in its acceleration, exhibiting a curvature influenced by the underlying quantum geometry. This research explores this concept through comparative analysis of entangled quantum states, aiming to demonstrate a deviation from the conventional understanding of inertia. The theoretical framework is presented, outlining the mathematical basis for QSIC, and a preliminary investigation into the inertial response of different entangled states is described. The potential implications of this theory, including a shift in our fundamental understanding of gravity and the universe's structure, are discussed.

DOI
10.5281/zenodo.21974779

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This paper introduces the concept of Quantum State Inertial Curvature (QSIC), a novel theory proposing that inertia is not solely derived from mass, but originates from the intrinsic geometric properties of quantum states. Traditional inertia, as described by Newton's second law (F=ma), assumes inertia stems from an object's resistance to acceleration due to its mass. QSIC posits that distinct quantum structures fundamentally alter the way a system responds to changes in its acceleration, exhibiting a curvature influenced by the underlying quantum geometry. This research explores this concept through comparative analysis of entangled quantum states, aiming to demonstrate a deviation from the conventional understanding of inertia. The theoretical framework is presented, outlining the mathematical basis for QSIC, and a preliminary investigation into the inertial response of different entangled states is described. The potential implications of this theory, including a shift in our fundamental understanding of gravity and the universe's structure, are discussed.
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Quantum entanglement is a fundamental resource for quantum information processing, yet the dynamics of entanglement under external perturbations remain poorly understood. In this paper we introduce the concept of Quantum Entanglement Inertia (QEI), quantified by a dimensionless parameter IEI_EIE​, to describe the resistance of an entangled state to instantaneous structural changes. We propose that entanglement possesses a form of inertia analogous to classical momentum, implying that sudden manipulations of the system cannot immediately alter the entanglement configuration. We develop a theoretical framework based on the time-dependent density matrix formalism and derive an explicit expression for IEI_EIE​ in terms of the rate of change of the reduced density matrices and the Schmidt coefficients. The resulting equations predict a characteristic timescale τE \tau_E τE​ over which the entanglement structure can be modified, suggesting practical limits for quantum communication and computation protocols that rely on rapid entanglement reconfiguration. We also discuss the implications of QEI for large-scale quantum networks and its potential relevance to the design of entanglement-based error correction schemes. Finally, we outline future research directions aimed at integrating QEI into a comprehensive dynamical theory of entanglement, thereby providing a new lens through which to understand the stability and manipulability of quantum correlations.
The role of the CP(N−1)CP(N-1)CP(N−1) geometry in the intrinsic unification of the general relativity and QFT
Einstein's program of the unified field theory transformed nowadays to the TOE requiring new primordial elements and relations between them. Definitely, they must be elements of the quantum nature. One of most fundamental quantum elements are pure quantum states. Their basic relations are defined by the geometry of the complex projective Hilbert space. In the framework of such geometry all physical concepts should be formulated and derived in the natural way. Analysis following this logic shows that inertia and inertial forces are originated not in space-time but it the space of quantum states since they are generated by the deformation of quantum states as a reaction on an external interaction or self-interaction. In particular, inertia law generalized by Einstein during development of general relativity (GR) will be expressed in intrinsic quantum terms. It is assumed that quantum formulation of the inertia law should clarify the old problem of inertial mass (dynamical mass generation). The conservation of energy-momentum following form this law has been applied to self-interacting quantum Dirac's electron.