论文标题
通货膨胀模型和riemann张量在非缔合代数上
Inflation model and Riemann tensor on non-associative algebra
论文作者
论文摘要
在本文中,将$ n $维空间减少到$ k $二维的空间被认为是将$ n^n $状态减少到$ n^k $状态,其中$ n $代表每单位空间长度单位的单粒子状态数量。事实证明,这种缩小可以理解为通货膨胀的另一个定义。结果表明,在均匀空间中物理场代数的非缔合性引入导致非线性方程,其解决方案可以视为两阶段的通货膨胀。以减少$ t \ times r^7 $为$ t \ times r^3 $的示例,证明弗里德曼(Friedmann)和代数通货膨胀的通货膨胀阶段连续交联,$ 10^{ - 15} $,带有Baryons $ 10^{80} $的数量。在本文中,我们基于非缔合八元代数构建了一个新的重力常数。
In this article the reduction of a $n$-dimensional space to a $k$-dimensional space is considered as a reduction of $N^n$ states to $N^k$ states, where $N$ stands for the number of single-particle states per unit of spatial length. It turns out, this space reduction could be understood as another definition of inflation. It is shown that the introduction of the non-associativity of the algebra of physical fields in a homogeneous space leads to a nonlinear equation, the solutions of which can be considered as two-stage inflation. Using the example of reduction $T\times R^7$ to $T\times R^3$, it is shown that there is a continuous cross-linking of the Friedmann and inflationary stages of algebraic inflation at times $10^{-15}$ with the number of baryons $10^{80}$ in the Universe. In this paper, we construct a new gravitational constant based on a nonassociative octonion algebra.