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arXiv 2102.05550hep-thastro-ph.COgr-qc
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有限振幅原理的宇宙学推论

Cosmological consequences of a principle of finite amplitudes

Caroline Jonas, Jean-Luc Lehners, Jerome Quintin

摘要:

30多年前,Barrow & Tipler提出了一个原理,根据这个原理,在描述宇宙的整个四维流形上积分的作用量应该是有限的。在这里,我们探讨了宇宙学的一个相关标准的后果,即从早期宇宙的半经典过渡振幅到目前的字段值应该很好地定义。在经典水平上,我们的准则比巴罗-蒂普勒原理弱,但它具有对量子效应敏感的优点。我们发现早期宇宙模型的重要后果,特别是:永恒的通货膨胀和严格循环的宇宙被排除在外。在广义相对论中,演化的第一阶段不能是暴胀的,只有当标量场势在无限场范围内是可信的时,它才能是爆炸的。二次引力消除了假定的大爆炸附近的所有非加速背景(从而为暴胀提供了有利的初始条件),而预期的高曲率量子修正的无穷级数完全消除了洛伦兹大爆炸时空。最适合有限振幅原理的方案是无边界方案,它在我们研究过的所有动力学理论中都给出了有限振幅,以及弦激发的游荡相。我们还评论了我们的建议的关系,沼泽地植被。

英文摘要:

Over 30 years ago, Barrow & Tipler proposed the principle according to which the action integrated over the entire 4-manifold describing the universe should be finite. Here we explore the cosmological consequences of a related criterion, namely that semi-classical transition amplitudes from the early universe up to current field values should be well defined. On a classical level, our criterion is weaker than the Barrow-Tipler principle, but it has the advantage of being sensitive to quantum effects. We find significant consequences for early universe models, in particular: eternal inflation and strictly cyclic universes are ruled out. Within general relativity, the first phase of evolution cannot be inflationary, and it can be ekpyrotic only if the scalar field potential is trustworthy over an infinite field range. Quadratic gravity eliminates all non-accelerating backgrounds near a putative big bang (thus imposing favourable initial conditions for inflation), while the expected infinite series of higher-curvature quantum corrections eliminates Lorentzian big bang spacetimes altogether. The scenarios that work best with the principle of finite amplitudes are the no-boundary proposal, which gives finite amplitudes in all dynamical theories that we have studied, and string-inspired loitering phases. We also comment on the relationship of our proposal to the swampland conjectures.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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