For the first time, we choose non-flat vacuum mode for background spacetime based on the minimum number of created particles during early non-de Sitter inflation. In conventional methods for calculating the number of created particles, the flat background is selected automatically and causes a negative number problem for created particles during asymptotic-de Sitter inflation. In a covariant approach to curved spacetime, both real and background spacetimes should be selected, curved and consequently the relation for particle creation should be modify. As an interesting finding from this research, flat space does not include minimum number of particles and there are some asymptotic de Sitter spacetimes with fewer number. Therefore, in the generalized formula for particle creation, we choose a non-flat background containing the minimum number of created particles.

中文翻译：

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渐近德西特膨胀期间的背景模式选择

我们第一次根据早期非德西特暴胀过程中产生的最小粒子数为背景时空选择非平坦真空模式。在计算创建粒子数量的传统方法中，平坦背景是自动选择的，并且在渐近德西特膨胀期间会导致创建粒子的负数问题。在弯曲时空的协变方法中，应该选择真实时空和背景时空，弯曲，因此应该修改粒子创建的关系。作为这项研究的一个有趣发现，平坦空间不包括最小数量的粒子，并且存在一些数量较少的渐近德西特时空。因此，在粒子生成的广义公式中，