AI 中文总结
研究暗能量与暗物质相互作用，提出它们源于无尺度引力中与布兰斯 - 迪克玻色子伙伴相关自由度，通过\(O(3)\)对称及破缺构建模型，再现宇宙演化和丰度，实现相互作用DE的第一性原理实现。
AI 中文摘要
暗能量（DE）和暗物质（DM）是粒子物理学和宇宙学中最大的谜团之一，因其起源不明。考虑它们是否都源自纯引力领域很有趣。我们提出它们源于无尺度引力中与布兰斯 - 迪克玻色子伙伴相关的自由度，这是一种普朗克尺度虚幻的基本尺度不变引力理论。我们将布兰斯 - 迪克玻色子与两个标量场一起，在\(O(3)\)对称下形成一个矢量多重态，并将其在爱因斯坦框架中的角方向与DM和DE对应。\(O(3)\)的小显式破缺产生它们的质量和相互作用，结果模型再现了所需的背景宇宙演化和当前丰度，较轻的场在后期提供动态DE成分。尽管DE场保持正则，但相互作用的宇宙学在后期呈现出类似幻影的有效演化，而无需引入基本幻影自由度。该模型提供了相互作用DE的第一性原理实现，其中DM、DE及其耦合源于基础引力理论的对称结构。
英文摘要
Dark Energy (DE) and Dark Matter (DM) are among the greatest mysteries in particle physics and cosmology, since their origins remain unclear. It is intriguing to consider whether both may originate from a purely gravitational sector. We propose that they arise from degrees of freedom associated with the partners of the Brans-Dicke boson in No-Scale Gravity, a fundamental scale-invariant gravitational theory in which the Planck scale is illusional. We consider the Brans-Dicke boson, together with two scalar fields, to form a vector multiplet under an $O(3)$ symmetry, whose angular directions in the Einstein frame are identified with DM and DE. Small explicit breaking of $O(3)$ generates their masses and interaction, and we show that the resulting model reproduces the required background cosmological evolution and present-day abundances, with the lighter field providing a dynamical DE component at late times. Although the DE field remains canonical, the interacting cosmology exhibits an effective phantom-like evolution at late times, of the type suggested by DESI in combination with other cosmological probes, without introducing a fundamental phantom degree of freedom. The model provides a first-principles realization of interacting DE, in which DM, DE, and their coupling emerge from the symmetry structure of the underlying gravitational theory.
