论文标题
Fab四约翰理论的量子宇宙学具有符合分数衍生物
Quantum Cosmology of Fab Four John Theory with Conformable Fractional Derivative
论文作者
论文摘要
我们通过分数衍生物研究了非最小导数耦合宇宙学理论的量化，即Fab Four John理论。它的哈密顿式版本介绍了这一动力上的分数力量问题。在这里通过应用所谓的一致性分数衍生物解决了这个问题。这导致了二阶的Wheeler-Dewitt方程式，表明可以构建Bohm-De Broglie解释。分数量化和博学解释的结合为我们提供了一种新的量化方法，在这种方法中，量子电位是说量子解决方案是可以接受还是不进一步研究的标准。我们表明，对于量表因子来说，可以进行广泛的解决方案。在所有这些中，类似于完美液体宇宙学的弹跳解决方案似乎值得特别关注。
We study a quantization via fractional derivative of a nonminimal derivative coupling cosmological theory, namely, the Fab Four John theory. Its Hamiltonian version presents the issue of fractional powers in the momenta. That problem is solved here by the application of the so-called conformable fractional derivative. This leads to a Wheeler-DeWitt equation of second order, showing that a Bohm-de Broglie interpretation can be constructed. That combination of fractional quantization and Bohmian interpretation provides us a new quantization method, in which the quantum potential is the criterion to say if a quantum solution is acceptable or not to be further studied. We show that a wide range of solutions for the scale factor is possible. Among all of those, a bouncing solution analogous to the perfect fluid cosmology seems to deserve special attention.
