论文标题
关于Donder-Weyl Hamiltonian配方中的Einstein-Cartan仪表重力的宇宙常数
On the cosmological constant in the deformed Einstein-Cartan gauge gravity in De Donder-Weyl Hamiltonian formulation
论文作者
论文摘要
爱因斯坦 - 希尔伯特理论的修改，即协变量仪表重力（CCGG），导致宇宙常数，当从其（a）ds基态变形为平坦几何形状时，代表了时空连续体的能量。 CCGG基于De Donder-Weyl（DW）Hamiltonian配方中的规范转换理论。该框架通过二次riemann-cartan伴随着自由重力场的爱因斯坦 - 希尔伯特·拉格朗日。该理论预测了时空系统的总能量摩托车将消失，这与“零能源 - 宇宙”的猜想一致，可以追溯到洛伦兹（Lorentz）（1916年）和列维维（Levi-Civita）（1917）。因此，只有在物质存在物质真空能量（无论其价值如何）被时空能量消除的物质的情况下，才能存在平坦的几何形状。％$λ_0$。观察到的宇宙常数$λ_ {\ mathrm {obs}} $仅仅是$ 10^{ - 120} \，λ_0$归因于偏离平面几何形状的$ 10^{ - 120} \，λ_0$的小校正％，并且是空位的较复杂的动态几何形状的效果，也可以是空间的，即交流的空间，也是faluct的空间。因此，爱因斯坦\ cite {einstein18}在1918年已经预期的一般相对性的二次扩展，因此为解决％$ 120 $ $ 120 $的数量级错过的订单提供了重要而自然的贡献，称为“宇宙学常数问题”。
A modification of the Einstein-Hilbert theory, the Covariant Canonical Gauge Gravity (CCGG), leads to a cosmological constant that represents the energy of the space-time continuum when deformed from its (A)dS ground state to a flat geometry. CCGG is based on the canonical transformation theory in the De Donder-Weyl (DW) Hamiltonian formulation. That framework modifies the Einstein-Hilbert Lagrangian of the free gravitational field by a quadratic Riemann-Cartan concomitant. The theory predicts a total energy-momentum of the system of space-time and matter to vanish, in line with the conjecture of a "Zero-Energy-Universe" going back to Lorentz (1916) and Levi-Civita (1917). Consequently a flat geometry can only exist in presence of matter where the bulk vacuum energy of matter, regardless of its value, is eliminated by the vacuum energy of space-time.% $λ_0$. The observed cosmological constant $Λ_{\mathrm{obs}}$ is found to be merely a small correction %of the order $10^{-120} \,λ_0$ attributable to deviations from a flat geometry and effects of complex dynamical geometry of space-time, namely torsion and possibly also vacuum fluctuations of matter and space-time. That quadratic extension of General Relativity, anticipated already in 1918 by Einstein \cite{einstein18}, thus provides a significant and natural contribution to resolving the %$120$ orders of magnitude miss-estimate called the "cosmological constant problem".
