宇宙中可能的物理定律的多样性,其中普朗克常量和光速参数变化
A manifold of possible physics-laws in a universe where the planck constant and speed of light parameters vary
摘要:
我假设宇宙中光速和普朗克常量不是常数,而是在时间和空间中局部变化的参数。当描述运动时,我能够在量子水平上导出修改的路径积分描述,这提供了量子力学的自然扩展。在微观层次上,这种路径积分直观地描述了具有许多量子现实的物理学,从而导致了物理学流形的新概念,这可以被看作是一种新的作用原理。这种范式反映了这样一种观念,即在任何给定尺度上观察到的物理定律都是由基本参数的潜在分布决定的(即量子力学只是这个流形上的一个点),从而导致许多可能的基于物理定律的行为。通过选择一个高斯分布的参数,二次作用项出现在路径积分,这反过来又导致一个复杂的经典作用(并通过延续一个新的描述惯性)在经典的水平。在随附的手稿中,经典的二重态运动方程被应用于牛顿引力场,并导出了类似MOND、类似暗能量和类似先驱反常的解。
英文摘要:
I assume a universe whereby the speed of light and the planck constant are not constants but instead parameters that vary locally in time-and space. When describing motion, I am able to derive a modified path integral description at the quantum level, which offers a natural extension of quantum mechanics. At the microscopic level, this path integral intuitively describes a physics with many quantum realities thus leading to a novel concept of manifold of physics, which can be looked at as a novel action principle. This paradigm reflects the notion that the observed laws of physics on any given scale are determined by the underlying distribution of the fundamental parameters (i.e Quantum Mechanics is just one point on this manifold), thus leading to many possible physical-law based behaviors. By choosing a Gaussian distribution of the parameters, a quadratic action term appears in the path-integral, which in turns leads to a complex classical action (and by continuation a new description for inertia) at the classical level. In the accompanying manuscript the classical doublet equation of motion is applied to the Newtonian gravitation field, and a MOND-like, dark-energy-like, and pioneer-anomaly-like solutions are derived.
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