All the Buddhist theories of reincarnation are based on birth entity, which is the false self within the illusory world.+

The Self is birthless and deathless because the Self is ever formless, timeless, and spaceless existence. The one which is born, lives, and dies within the world (waking) is not the Self.

The idea of reincarnation is based on the birth entity (waking entity or ego) which lives and dies within the illusory world (waking).

The Self is the one which witnesses the coming and going, of the dual (waking or dream) nondual (deep sleep) experiences.

When the present experience of birth, life, and death takes place in the illusion, then reincarnation also is part of the same illusion.

The dream becomes unreal when waking takes place. Similarly, the waking becomes unreal when Advaitic wisdom dawns. Advaitic wisdom dawns when the Soul, the Self, consciously remains awake in its formless nondual nature.

When the substance and witness of the three states are one in essence and that essence is consciousness. Then what value is there for the universe in, which the experience of birth, life, death, and reincarnation happens?

Even if you take reincarnation as reality reincarnation happens within the world, which is an illusion, from the standpoint of the formless Soul, the Self.

Dalai Lama said:-Buddhism need not be the best religion though it is most scientific and religion and inquisitive. But Buddhism has no answer to certain questions like the existence of Atama [Soul] and rebirth. Dali lama said that as an individual he believes in rebirth as he had come across a few cases of rebirth. Modern science, Dalai Lama hoped would unearth the mystery behind the rebirth. (In DH –dec-212009-Gulburga).

All the Buddhist theories of reincarnation are based on the birth entity, which is the false self within the illusory world.

People who are caught up with the idea of reincarnation and rebirth theories are not qualified for Self-Knowledge or Brahma Gnana or Atma Gnana because they accepted the duality as reality

People who believe in reincarnation and rebirth theories are unaware of the fact that their belief is based on a waking entity, which is the false Self within the false experience. The waking entity itself is a false self within the false experience, it means the present experience of birth, life, death and the world is a falsehood.

Whatever is seen, known, believed, and experienced by the waking entity is bound to be a falsehood because the Soul or consciousness the innermost Self is birthless because it is formless. Therefore, the rebirth and reincarnation theory based on the false Self is bound to be a falsehood. : ~Santthosh Kumaar