在GL(4,R)杨-米尔斯引力理论中的宇宙学演化：解决JWST早期星系危机和晚期加速问题
Cosmological Evolution in the $GL(4,\mathbb{R})$ Yang-Mills Theory of Gravity: Resolving the JWST Early Galaxy Crisis and Late-Time Acceleration
AI总结：
该研究提出基于GL(4,R)杨-米尔斯规范理论的宇宙学模型，通过消除滚动标量场和宇宙学常数的需求，实现早期宇宙无奇点的线性膨胀及晚期指数加速，解决早期星系形成和晚期加速问题。
摘要：
我们研究了GL(4,R)杨-米尔斯规范引力理论的宇宙学意义。标准宇宙学长期依赖于任意的滚动标量场（如inflaton或quintessence）来驱动早期膨胀和晚期加速，尽管其粒子物理起源未知。本文通过将仿射联络视为规范场，将世界度规视为非动力学背景，推导出一个精确的膨胀历史，严格消除了任何滚动标量场或宇宙学常数的需要。动力学由杨-米尔斯场强平方单独支配。我们证明早期宇宙表现出无奇点的线性膨胀a(t) ∝ t，通过赋予早期结构形成更充足的时间，解决JWST高红移星系危机。随着辐射稀释，宇宙自然过渡到Weitzenböck真空态，其中残余的拓扑非平凡常数扭力锁定时空动力学，驱动晚期指数加速a(t) ∝ exp(ξt)。该框架建立了宇宙学演化的纯粹几何和规范起源。
英文摘要：
We investigate the cosmological implications of the $GL(4,\mathbb{R})$ Yang-Mills gauge theory of gravity. A long-standing theoretical challenge in standard cosmology is the reliance on ad hoc rolling scalar fields (e.g., the inflaton or quintessence) to drive early-time inflation and late-time acceleration, despite their unknown particle physics origins. In this work, by treating the affine connection as a gauge field and the world metric as a non-dynamical background, we derive an exact expansion history that strictly eliminates the need for any rolling scalar fields or a cosmological constant. The dynamics are governed solely by the Yang-Mills field strength squared. We demonstrate that the early Universe exhibits a singularity-free coasting expansion $a(t) \propto t$, resolving the JWST high-redshift galaxy crisis by granting significantly more time for early structure formation. As radiation dilutes, the Universe naturally transitions into a Weitzenböck vacuum state, where a residual, topologically non-trivial constant torsion locks the spacetime kinematics to drive a late-time exponential acceleration $a(t) \propto \exp(ξt)$. This framework establishes a purely geometric and gauge-theoretic origin for the cosmological evolution.
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