Quantum Complexity Pressure (QCP)
Jincheng Zhang
Abstract
This paper introduces the concept of Quantum Complexity Pressure (QCP), a novel theoretical framework proposing that quantum systems inherently exhibit a tendency towards complexity reduction driven by an internal "pressure." This pressure, denoted as [Pc], emerges from the inherent uncertainty and probabilistic nature of quantum mechanics, specifically the exponential growth of Hilbert space dimensions with system size. The core argument is that excessive complexity within a quantum system represents a destabilizing force, analogous to physical pressure causing deformation. This QCP acts as a natural selection mechanism, favoring states with lower complexity and driving the system towards a more stable, simplified configuration. The theoretical framework is initially explored through the lens of quantum many-body systems, suggesting potential connections between complexity, physics, and the emergence of order. The concept carries significant potential for future research and could, hypothetically, warrant consideration for Nobel Prize recognition. This exploration does not involve experimental validation but rather provides a foundational theoretical model.