While the common belief on Lucifer’s story is the one from Christianity, there are other beliefs about his story. I will only talk about the ones that I am aware of:
- The idea or belief that there was tyranny in Heaven and Lucifer sought to revolt against it, only to be cast out in the process. This idea or belief is very common among devotees of Lucifer, and what the tyranny is about varies between them.
- The belief or view that Lucifer had left Heaven by his own accord and was not cast out of it. This belief or view is a bit uncommon to find in devotees of Lucifer, but it does exist. Whatever caused Lucifer to leave solely depends on the devotee’s views and understandings.
- Instead of the common belief of the story of Adam, Eve and the Serpent of the Garden of Eden, it is believed by devotees of Lucifer that the Serpent (viewed as Lucifer) had given Adam and Eve knowledge (or gnosis) when he enticed them into eating the fruit. Some even believe that, in doing so, Lucifer had given Adam and Eve (and thus humanity) the ability or potential to become like gods. This idea is heavily influenced by Gnosticism and whether this event occurred before or after Lucifer’s fall varies between devotees.
- A very uncommon idea or belief I have seen among some devotees of Lucifer is the idea that Lucifer loved God too much and could not obey the command to bow to man. Lucifer had been told previously to bow only to God and to bow to a being inferior to him would be going against that command. For disobeying God, Lucifer was cast out. This idea or belief takes strong inspiration from the story of Iblis, the Islam Devil. See below fore more information on this.
On point #4:Iblis was a jinn, whom, along with humanity, has free will and the ability to choose between good and evil. So, when God had created Adam, he commanded the angels (who had no free will and were thus unable to sin) and Iblis (who was considered an equal to the angels) to bow down to Adam. The angels did so, but Iblis had refused as he deemed himself better than Adam, given that he was made out of fire while Adam was made out of clay. For this, he was cast out of Jannah (Paradise) and God had intentions to punish him by cursing him to Jahannam (Hell/Purgatory) but Iblis begged him to delay the punishment until Yawm al-Qiyāmah (Last Judgement) and this was granted by God.
Related to this is Melek Taus, a figure that is worshiped by the Yezidi. He has the same story as Iblis, but is revered for not submitting to Adam. It should be noted that because of this, some Lucifer devotees may see Lucifer as Melek Taus or associate peacocks with him (as Melek Taus seems to translate to Peacock Angel in English).*
*Please keep in mind that the Yezidi are not Satanists. They are thought to be worshiping Satan by the Muslims and many Yezidi people have been murdered for such views and their beliefs.