Broadening quantum cosmology with a fractional whirl
S. M. M. Rasouli, S. Jalalzadeh, P. V. Moniz
Abstract
We start by presenting a brief summary of fractional quantum mechanics, as means to convey a motivation towards fractional quantum cosmology. Subsequently, such application is made concrete with the assistance of a case study. Specifically, we investigate and then discuss a model of stiff matter in a spatially flat homogeneous and isotropic universe. A new quantum cosmological solution, where fractional calculus implications are explicit, is presented and then contrasted with the corresponding standard quantum cosmology setting.
Topics & Concepts
PhysicsQuantum cosmologyQuantumCosmologyQuantum geometryIsotropyTheoretical physicsLoop quantum cosmologyHomogeneousClassical mechanicsOpen quantum systemQuantum processQuantum mechanicsQuantum gravityQuantum dissipationQuantum discordQuantum operationQuantum stateStandard Model (mathematical formulation)Mathematical physicsQuantum algorithmQuantum field theoryQuantum dynamicsNoncommutative and Quantum Gravity TheoriesFractional Differential Equations SolutionsQuantum Mechanics and Applications