标准宇宙学模型认为宇宙起源于大爆炸，并且经历了暴胀阶段。然而，为什么早期宇宙会暴胀，存在不同的理论假设。一个理想的模型是宇宙起源于真空，并演化为今天的宇宙。通过求解量子宇宙学方程，并使用德布罗意-玻姆量子轨道理论，可以获得真空暴胀解。随着微波背景辐射观测精度的提高，这一模型的正确性有望获得实验检验。

The standard cosmological model says that the universe originates from the Big Bang, including an accelerating expanding process called inflation. The vacuum inflation model states that the universe comes from a small vacuum bubble derived the quantum effects of its own. A mathematical proof is given for the inflation of vacuum which may be tested by the future observation on the cosmic microwave background.