论文标题
罗伯逊沃克几何形状中的最小长度宇宙
Minimum Length Universe in a Robertson Walker Geometry
论文作者
论文摘要
最小长度的宇宙是通过扩散的马尔可夫场实施的。在此类字段产生的时空转换下需要适当的时间功能的不变性为我们提供了许多新的术语，添加了基督徒连接，运动方程和弗里德曼方程。在Robertson-Walker（RW）度量标准下，我们获得了物种特异性的能量密度演化，现在是定义扩散场的参数以及RW量表因子的函数。 数学使我们与时间扩散，宇宙扩展加速度与宇宙膨胀速度之间建立了关系，以及宇宙常数的推导，作为最小长度的函数和HIGGS机制的标量场期望值。 该理论为我们提供了一种将哈勃参数与其扩散ML“等效”联系起来的方法，以及一种以减速参数来表达状态有效方程的方法。我们发现，Q可以在不调用暗物质物种的需求的情况下采用一系列较高的值，并且宇宙居住在真空或物质中，以Q的函数为主导的制度。
A minimum length universe is enforced via a diffusive Markovian field. Requiring the invariance of the proper time functional under spacetime transformations generated by such fields provides us with many new terms added to the Christoffel Connection, Equations of Motion, and Friedmann Equation. Under the Robertson-Walker (RW) metric, we obtain species-specific energy-density evolution, now a function of both the parameters defining the diffusive fields as well as the RW scale factor. The math leads us to a relationship between temporal diffusion, universe expansion acceleration, and the speed of universe expansion, along with a derivation of the cosmological constant as a function of both minimum length and the scalar field expectation value of the Higgs mechanism. The theory gives us a means of relating the Hubble parameter to its diffusive ML 'equivalent', and a means to express the effective equation of state in terms of the deceleration parameter, q. We find that q can take on a range of higher values without invoking the need for a dark matter species, and that the universe inhabits a vacuum or matter dominated regime as a function of q.
