热宇宙的量子诞生II。由CMB温度波动估算模型参数
Quantum Birth of a Hot Universe II. Model Parameter Estimates from CMB Temperature Fluctuations
摘要:
我们考虑热FRW宇宙的量子诞生,从真空为主的量子涨落与辐射和字符串的混合,这对应于量子隧穿从一个离散的能级与非零温度。具有状态方程$p=-ε/3$的弦的存在模拟了一个正曲率项,这使得在负亏损角的情况下,一个开放而平坦的宇宙的量子诞生成为可能。在deSitter畴前,辐射能级是量子化的。通过对CMB各向异性的观测约束,我们计算了温度谱,并估计了约束温度涨落的模型参数的范围。对于初始de Sitter真空的GUT标度,经典演化开始时的温度下限接近再加热理论预测的值,而上限远离最大质量的阈值。
英文摘要:
We consider the quantum birth of a hot FRW universe from a vacuum-dominated quantum fluctuation with admixture of radiation and strings, which correspond to quantum tunnelling from a discrete energy level with a non-zero temperature. The presence of strings with the equation of state $p=-ε/3$ mimics a positive curvature term which makes it possible, in the case of a negative deficit angle, the quantum birth of an open and flat universe. In the pre-de-Sitter domain radiation energy levels are quantized. We calculate the temperature spectrum and estimate the range of the model parameters restricting temperature fluctuations by the observational constraint on the CMB anisotropy. For the GUT scale of initial de Sitter vacuum the lower limit on the temperature at the start of classical evolution is close to the values as predicted by reheating theories, while the upper limit is far from the threshold for a monopole rest mass.
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