论文标题
通过与标量场的共形耦合获得物质的标量第五力
Obtaining a scalar fifth force for matter via a conformal coupling to the scalar field
论文作者
论文摘要
在特殊相对论（SR）的框架中，我建议物质通过物质的拉格朗日密度将物质与标量场融合在一起，无论物质是由经典还是以量子（统计）力学为特征。标量介导的力的最大相互作用强度可以达到$ 1/λ_e^2 $的顺序，而宇宙常数$λ_e\约2.4 \，\ rm {mev} $。这大约比牛顿的重力大约60个数量级，即$ {（M _ {\ Mathrm {pl}}/λ_e）}^2^2 \ sim 10^{60} $，其中$ m _ {\ mathrm {pl Mathrm {pl}}} _普朗克能量。但是，连形耦合的离散$ \ mathbb {z} _2 $对称性不允许一个无质量的标量场，因此满足了未观察到远程力的证据的约束。力的相互作用范围与环境密度的平方根成反比。因此，在环境密度大于当前宇宙密度大的一般情况下，相互作用范围总是小于$ 1/λ_e\ of 80 \，μ\ rm {m {m {m} $。即使包括典当的能量量张量和共形相互作用，一般相对论（GR）的形式仍然存在。这里的主要目的是克服\ cite {hcz2}的难题，即哪个帧是物理的。
In the framework of special relativity (SR), I propose that matter conformally couples to a scalar field through the Lagrangian density of matter, whether matter is characterized by classical or by quantum (statistical) mechanics. The largest interaction strength of the scalar-mediated force can achieve the order of $1/Λ_E^2$ with the cosmological constant $Λ_E\approx 2.4\,\rm{meV}$. This is about 60 orders of magnitude larger than Newtonian gravity, i.e., ${(M_{\mathrm{Pl}}/Λ_E)}^2\sim 10^{60}$, where $M_{\mathrm{Pl}}\approx2.4\times 10^{18}\, \rm{GeV} $ is the reduced Planck energy. However, the discrete $\mathbb{Z}_2$ symmetry of the conformal coupling does not allow a massless scalar field, satisfying the constraint that no evidence of the long range force is observed. The interaction range of the force is inversely proportional to the square root of the ambient density. Therefore, in the general situation in which the ambient density is larger than the current cosmic density, the interaction range is always smaller than $1/Λ_E \approx 80\, μ\rm{m}$. The form of general relativity (GR) still holds even when the energy-momentum tensors of the quintessence and the conformal interaction are included. The main purpose here is to overcome the puzzle in \cite{hcz2}, i.e., which frame is physical.
