Yes, Li Bai and Wu Zetian both lived in the Tang Dynasty, so it could be said that they were figures of the same era.
Li Bai was active during the Tang Dynasty, while Wu Zetian and Yang Guifei were active during different periods. Therefore, Li Bai was not in the era of Wu Zetian, nor was he in the era of Yang Guifei. To be specific, Li Bai was active during the Tang Dynasty's prosperous period, while Wu Zetian and Yang Guifei were active during the early Tang Dynasty and the prosperous period. Therefore, Li Bai, Wu Zetian, and Yang Guifei had no direct relationship with each other.
Li Zhi and Wu Zetian had a total of four sons. Among their sons, Li Hong was made Crown Prince at the age of four, but he died in 675 AD. The cause of his death was controversial. Some people believed that he had been poisoned by Wu Zetian. Li Xian was Wu Zetian's second son. He was deposed after being made Crown Prince and was forced to commit suicide in 684 AD. Li Xian was Wu Zetian's third son. He was relatively lucky to sit on the Emperor's throne, but in the end, he died at the hands of his woman, Empress Wei. As for his youngest son, Li Dan, he was the only one who died of old age.
Li Zhi and Wu Zetian had a total of four sons. They were Li Hong, Li Xian, Li Xian, and Li Dan. Among them, Li Hong died in 675 AD at the age of 23. There were two explanations for the cause of death. One was that he died of illness, and the other was that he was killed by Wu Zetian. In 684 AD, Li Xian was banished to a place and eventually committed suicide. Li Xian's ending was unknown. As for Li Dan, he had ascended the throne twice, but he had abdicated to his mother and brother three times. The final outcome was unknown.
We can conclude that Wu Zetian killed Li Hong for power. As the eldest son of Wu Zetian, Li Hong had the ability to govern the country. He had also discussed with Li Zhi that he would pass the throne to him after the new year. However, Li Hong had once said something to Wu Zetian, causing her to feel disappointed and her heart to turn cold. She decided to fight for the world with her beloved son. Therefore, in order to eliminate his competitors and consolidate his power, Wu Zetian decided to kill Li Hong. However, the search results did not provide any specific details or evidence to prove that Wu Zetian had personally killed Li Hong. Therefore, we are unable to get a definite answer to the question of whether Wu Zetian personally killed Li Hong.
There were different opinions on whether Li Shimin favored Wu Zetian or not. According to some historical records, Li Shimin did not touch Wu Zetian, but sent her to a nunnery. This may be related to Li Shimin's superstitious character. He listened to the advice of Minister Yuan Tiangang and thought that Wu Zetian's appearance had an ominous atmosphere. However, there were also some views that Li Shimin and Wu Zetian had a biological relationship. One of the historical records, Chu Suiliang, once exposed this during the struggle to abolish Wang and establish Wu. However, there was no conclusive evidence to prove whether Li Shimin favored Wu Zetian. Therefore, based on the information provided, it was impossible to determine whether Li Shimin had favored Wu Zetian.
The eldest son of Li Zhi and Wu Zetian was Li Hong.
Wu Zetian had a deep love for Li Hong. She had high hopes for Li Hong and cared for him. Even though Wu Zetian was a female emperor, she did not give up her love and concern for Li Hong because of her gender. She used her actions to prove that a mother's love for her child was selfless and great.
Wu Zetian and Di Renjie were from Shanxi. Their hometown was in Taiyuan and Wenshui respectively. There was a certain fate between the two of them. They could hear each other's local accent in the imperial court, which might have increased their closeness. Di Renjie was from the same generation as Wu Zetian, six years older than her. Di Renjie was a smart, capable, and agile man. He held an important position in the court and gained Wu Zetian's trust and appreciation. Although they had a relationship of monarch and minister, they could also be considered friends and confidants. The relationship between them was not limited to monarch and minister, but also a special kind of friendship.
Wu Zetian, Li Shimin, and Li Zhi were husband and wife. Li Shimin was the second emperor of the Tang Dynasty and the first husband of Wu Zetian. Li Zhi was the third emperor of the Tang Dynasty, the son of Li Shimin and the second husband of Wu Zetian.