A distinction has to be made between the soul in its essence and the psychic being. Behind each and all there is the soul which is the spark of the Divine -none could exist without that. But it is quite possible to have a vital and physical being without a clearly evolved psychic being behind it. Still, one cannot make general statements that I no aboriginal has a soul or there is no display of soul anywhere.
The inner being is composed of the inner mental, inner vital, inner physical, -but that is not the psychic being.
The psychic is the inmost being and quite distinct from these. The word 'psychic' is indeed used in English to indicate anything that is other or deeper than the external mind, life and body, anything occult or supraphysical, but that is a use which brings confusion and error and we entirely discard it when we speak or write about yoga. In ordinary parlance we may sometimes use the word 'psychic' in the 1ooser popular sense or in poetry, which is not bound to intellectual accuracy, we may speak of the soul sometimes in the ordinary and more external sense or in the sense of the true psyche.
       The psychic being is veiled by the surface movements and expresses itself as best it can through these outer instruments which are more governed by the outer forces than by the inner influences of the psychic. But that does not mean that they are entirely isolated from the soul. The soul is in the body in the same way as the mind or vital -  but the body it occupies is not this gross physical frame- only, but the subtle body also. When the gross sheath falls away, the vital and mental sheaths of the body still remain as the soul's vehicle till these too dissolve.
       The soul of a plant or an animal is not altogether dormant -only its means of expression are less developed than those of a human being. There is much that is psychic in the plant, much that is psychic in the animal. The plant has only the vital-physical evolved in its form, so it cannot express itself; the animal has a vital mind and can, but its consciousness is limited and its experiences are limited, so the psychic esseflce has a less developed consciousness and experience than is present or at least possible in man. All the same, animals have a soul and can respond very readily to the psychic in man.
  The ghost is of course not the soul. It is either the man appearing in his vital body or it is a fragment of his vital that is seized on by some vital force or being. The vital part of us normally exists after the dissolution of the body for some time and passes away into the vital plane where it remains till the vital sheath dissolves. Afterwards it passes, if it is mentally evolved, in the mental sheath to some mental world and finally the psychic leaves its mental sheath also and goes to its place of rest. If the mental is strongly developed, then the mental part of us can remain; so also can the vital, provided they are organised by and centred round the true psychic being -for they then share the immortality of the psychic. Otherwise the psychic draws mind and life into itself and enters into an internatal quiescence.

SRI AUROBINDO

I did not understand' the explanation of the psychic you have given: "One could say, for example, that the creation of an individual being is the result of the projection, in time and space, of one of the countless possibilities latent in the supreme origin of all manifestation which, through the medium of the one and universal consciousness, takes concrete form in the law or the truth of an individual and so, by a progressive development, becomes his soul or psychic being. "

It is a little philosophical. ...You know the difference between what is subjective and what is objective? You know it! Well, imagine precisely this Reality we were speaking about, which is at the origin of all things, passing from the subjective to the objective state. That is, what was within becomes as though projected outside. It is the same thing: it is the state that changes. And so, within it there are all the possibilities of objective existence; within they are unexpressed, unmanifested; outside they are projected, as a picture is projected on the cinema-screen: we see it before us. And every element that was a possibility within, a law, becomes the law of a realisation. And everyone of these possibilities becomes the reality of a being, of an individuality if you like, of something existing objectively. And it is that law which is the origin of the centre of the psychic being: it is the truth of the being or the law of the being. The Buddha called it the "law", he spoke of the Dharma. It is the truth of the being. It is that which binds it again indestructibly to its origin. And that is the starting-point of the psychic being. And so, even as this develops, like the picture on the screen, it takes a more and more complex and precise form in the manifestation. But the reality of that form is one, it is bound to the One. And all the units are linked together and reproduce the One.

                                                    THE MOTHER