This could go on forever, so I’ll just outline a few categories of beings.
Spirits
When an inert soul gains a mind, it is called a spirit. A puddle becomes a water elemental spirit if it somehow gains a mind, the same is true for a sword spirit or any other object, concept or phenomena with an inert soul. Given their diversity, they share no common aura, but rather present an aura of the thing they represent.
Divinities: residents of the heavens, with an aura of ‘divine glory’.
Heavenly Gods: those with the ability to wield heavenly souls.
True gods: Those that have grasped transcendence to such a degree as to be capable of creating their own reality.
Outer gods
Of the beings outside reality, only the most intrusive and overbearing have rejected the defenses of reality, these are the outer gods.
Fiends
Some things from outside of reality manage to leak inside, and fiends are such instances that exhibit living characteristics. They’re usually born when something from ‘outside’ integrates itself into a living being. They are by definition transcendent, this is most clear in that they only superficially imitate a real being, beneath their shell is unreality. This unreality is perceived by mortals as an aura of ‘fiend terror’, as mortals fear nothing more than the unknown. They end up either fully integrating reality or as demon food.
Demons
Souls in the rivers of Phleg with an obsessive desire to leave it do so by shaping a new body out of Phleg. The nature and appearance of this body reflects the imprints left on the soul, likely dominated by a single obsessive desire. A demon thirsting for revenge, might retain some of its facial features from life but will have a body that, to it, represents violence and is quite adept at it. A body of Phleg grants it certain innate abilities: it can eat non-inert souls (of things alive or that have lived) incorporating them to its own. Most importantly demons are capable of eating intrusions from outside reality, and such a profound act possesses a great soul that provides demonic mana, potent and chaotic. The lower the hell, the more of such intrusions into reality exist, and so demons instinctively descend to where they can strengthen themselves with demonic mana. This instinct is referred to as the call of the abyss. Innately chaotic and unpredictable despite their obsessive desires, their aura is called ‘demonic fervor’.
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Devils
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Unliving
Within the concept of every living being, there is the concept of life -- within the soul of every living being, there is a soul of their life. As such any living biological process has a source of life mana that they naturally evolve to use as life support and enhancement for their living aspects, this mana is a part of their entire supply of mana provided by their overall soul. The unliving steal this life mana from others and use it for themselves, in effect ‘living’ someone else’s life and pushing someone closer to death in their place. But life is the growth of the soul, and so living someone else’s life cannot grow one’s own soul. To grow their own soul, the unliving must live their own life and so bring themselves closer to death, but they can live indefinitely as long as they never grow. They possess an aura of ‘unliving vigor’ as they wield life.
Truedead:
Truedead lack living instincts and emotions, as they have accepted their death with no great emotional obsession. Their voyage in the cycle of reincarnation has been artificially delayed. Having lost their natural living body, their soul is artificially tethered to something(s), and is exposed. As such, the Truedead with the greater soul will completely (and perhaps not deliberately) dominate all lesser Truedead in their presence, as their exposed soul allows them to easily interfere with other exposed souls. As such, their aura is called ‘dead authority’.
Undead:
The undead are would-be demons that never made it to the rivers of Phleg, and so don't have a body made of it. Like Truedead, they are dominated by larger souls, but unlike Truedead they may rebel regardless, due to their obsession. They’ve an aura of fervor and/or authority.
Biological species
A species is said to be an ascended race if every individual is either born ascended (e.g. born in the heavens) or naturally reaches ascended level ability during their lifetime, just by virtue of living (e.g. Dragons). All other species (humans, elves, dwarves…) are said to be mortal races. If they develop an aura, it is usually called ‘spirit’ (e.g. martial spirit, imperial spirit…)
Demonic life
Any life that wields demonic mana, becoming susceptible to the call of the abyss, is called demonic. Within the hells, they far outnumber true demons. As with spirits, they are too diverse to share any common aura.