通过质子内部的压力分布探测亚飞秒尺度的重力
Probing gravity at sub-femtometer scales through the pressure distribution inside the proton
摘要：
最近，对质子内部夸克所经历的压力分布的测量发现，在距离质子中心0.6毫微微米的地方有一个很强的排斥（正）压力，而在更远的地方有一个（负）围压。在本文中，我们表明，这种测量提出了显着的约束修改后的引力理论，在微观尺度上的引力相互作用的强度增强相对于广义相对论。我们考虑的特殊情况下，爱丁顿启发Born-Infeld引力，表明强限制$κ$，相对于广义相对论的理论的唯一附加参数，可能来自夸克压力测量（$|κ| \lsim 10^{-1} \, {\rm m^5 \, kg^{-1} \, s^{-2}}$）。此外，我们将展示如何通过精确测量质子内部压力分布的一阶矩和二阶矩来显着改善这些限制。
英文摘要：
Recently, a measurement of the pressure distribution experienced by the quarks inside the proton has found a strong repulsive (positive) pressure at distances up to 0.6 femtometers from its center and a (negative) confining pressure at larger distances. In this paper we show that this measurement puts significant constraints on modified theories of gravity in which the strength of the gravitational interaction on microscopic scales is enhanced with respect to general relativity. We consider the particular case of Eddington-inspired Born-Infeld gravity, showing that strong limits on $κ$, the only additional parameter of the theory with respect to general relativity, may be derived from the quark pressure measurement ($|κ| \lsim 10^{-1} \, {\rm m^5 \, kg^{-1} \, s^{-2}}$). Furthermore, we show how these limits may be significantly improved with precise measurements of the first and second moments of the pressure distribution inside the proton.
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