Quantum theory of a membrane

E. B. Davies

Jichul Kim

Abstract Both classical mechanics and quantum mechanics explain the Brownian motion. However, it is unclear whether they are compatible with each other as the physical and mathematical identity of the wavefunction in quantum mechanics has been elusive. Here, a continuum theory using grammars in classical mechanics modeling but compatible with the quantum wavefunction is introduced. The theory explains the confined Brownian motion of cell membrane inclusions interacting with extracellular matrices or cytoskeletons via elastic molecular crosslinkers. This crosslinker theory is combined into the Canham-Helfrich-Evans model for fluid membranes. Calculations through the provision of a finite element method for the combined theory reproduced measured data from adhesion molecular machineries and cell membranes. Overall, by providing physical and mathematical interpretations of the quantum wavefunction, the presented theoretical model provides improved capabilities for the realistic simulation of classical and quantum biomechanical aspects of cell membranes and membrane linker proteins.

Jincheng Zhang

This paper investigates the transformative potential of membrane quantum information theory, proposing a novel approach to quantum information storage and transmission leveraging the inherent self-organization properties of membranes. Traditional quantum information processing relies heavily on qubit manipulation, while membrane-based systems offer a fundamentally different paradigm. We explore a simulation-driven methodology to optimize the arrangement of quantum states within these membranes, revealing promising strategies for enhanced storage density and efficient information transfer. Furthermore, we delve into the potential applications of this architecture, extending beyond simple qubit storage to encompass complex quantum algorithms and data processing. The core claim centers around the demonstration of efficient quantum information manipulation within a membrane structure, highlighting a significant departure from existing approaches.

Charles J. Lumsden, Melvin P. Silverman, Lynn E. H. Trainor

H. Dekker

Márk Mezei, Julio Virrueta

Abstract Recently an effective membrane theory valid in a “hydrodynamic limit” was proposed to describe entanglement dynamics of chaotic systems based on results in random quantum circuits and holographic gauge theories. In this paper, we show that this theory is robust under a large set of generalizations. In generic quench protocols we find that the membrane couples geometrically to hydrodynamics, joining quenches are captured by branes in the effective theory, and the entanglement of time evolved local operators can be computed by probing a time fold geometry with the membrane. We also demonstrate that the structure of the effective theory does not change under finite coupling corrections holographically dual to higher derivative gravity and that subleading orders in the hydrodynamic expansion can be incorporated by including higher derivative terms in the effective theory.