An explanation of the origin of dark matter is suggested in this work. The argument is based on symmetry considerations about the concept of mass. In Wigner’s view, the rest mass and the spin of a free elementary particle in flat space-time are the two invariants that characterize the associated unitary irreducible representation of the Poincaré group. The Poincaré group has two and only two deformations with maximal symmetry. They describe respectively the de Sitter (dS) and anti-de Sitter (AdS) kinematic symmetries. Analogously to their shared flat space-time limit, two invariants, spin and energy scale for de Sitter and rest energy for anti-de Sitter, characterize the unitary irreducible representation associated with dS and AdS elementary systems, respectively. While the dS energy scale is a simple deformation of the Poincaré rest energy and so has a purely mass nature, AdS rest energy is the sum of a purely mass component and a kind of zero-point energy derived from the curvature. An analysis based on recent estimates on the chemical freeze-out temperature marking in Early Universe the phase transition quark–gluon plasma epoch to the hadron epoch supports the guess that dark matter energy might originate from an effective AdS curvature energy.

中文翻译：

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关于暗物质的de Sitter和Anti-de Sitter宇宙质量

建议在这项工作中解释暗物质的起源。该论点基于关于质量概念的对称性考虑。在维格纳看来，静止质量和自由基本粒子在平面时空中的自旋是两个不变性，它们代表了庞加莱群相关的不可约表示形式。庞加莱群具有两个且只有两个具有最大对称性的变形。它们分别描述了de Sitter（dS）和anti-de Sitter（AdS）运动学对称性。类似于它们共享的平坦时空限制，两个不变性，即de Sitter的自旋和能级和反de Sitter的静止能，分别表征了与dS和AdS基本系统相关的统一不可约表示。dS能级是庞加莱静能量的简单变形，因此具有纯质量性质，而AdS静能量是纯质量成分和一种从曲率得出​​的零点能量的总和。基于最近对早期宇宙中化学冻结温度标记的估计的分析，表明相变夸克-胶子等离子体时代到强子时代已经证实暗物质能量可能源自有效的AdS曲率能量。