Paying tribute to the late musician, who died at his Paisley Park estate in Minnesota on Thursday, Gaga, 30, wrote on Instagram that she feels "that when we die our souls hover for at least a moment if not longer before they either rest or are recycled into the consciousness of an already living being or maybe a newborn baby."
She continued, "Isn't it amazing Prince shared his soul with us so deeply before his death, and now after we will be replenished endlessly by both his legacy and all that he still has to give from the beyond."
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Posting an image of the "Purple Rain" singer, Gaga concluded, "Thank you for sharing your life with us Prince. Giving up your anonymity because you felt compelled to share your gift. We learned so much. You just found God early, he needed you upstairs to innovate in heaven."
In addition, Gaga wrote on Twitter, "Gonna miss u man, thank u 4 all u gave to music and the world," before posting lyrics from Prince's song "Sign O' The Times."
Gonna miss u man, thank u 4 all u gave to music and the world https://t.co/0lTuKn3h5J— Lady Gaga (@ladygaga) April 23, 2016
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"Some say a man ain't truly happy, til' a man truly dies. Oh why?" -Prince— Lady Gaga (@ladygaga) April 23, 2016
Gaga is just the latest star to join in the outpouring of memorials for Prince, which have included musical tributes from the casts of Broadway shows and even Bruce Springsteen.
Authorities are still trying to determine Prince's cause of death. An autopsy was completed on Friday, but results have not yet been released.