We live our lives again and again or NOT AT ALL

We do not or mostly do not remember our past lives. Either we have no recall whatsoever of living before (whether human, animal or alien) or we only have recall in fleeting glimpses (hypnosis, dreams or visions). Yet even those that can recall such events often have trouble with clarity and whether the experiences have happened, are imagined or are to happen.

If we have lived past lives since infinite time past (time in an absolute sense) then we would have been everyone and everything in the past and so on to the future. This depends upon the nature of time and of mind on higher dimensions (planes of existence). It depends specifically on whether mind (soul, consciousness, energy winds) are connected to the physical universe or are not when the brain ceases operation.

If connected to the universe then mind would be bound by spacetime and dimensionality to the point that repeated existence would occur only if the same conditions are repeated in the universe again or inside another universe where the physical structure is repeated. This would be like living the same life again and again. If the mind is not connected physically with the universe then it would be free to be reborn in a myriad of physical forms and non-physical forms. This is because there is depth of mind beyond physical matter and this mind would quite possibly obey different laws outside of spacetime.

Dharmic religions such as Buddhism and Hinduism believe in cyclic existence. We suffer continued birth, ageing and death since beginingless time. This process is usually in the lower (below human) realms and a major objective of these religions is to attain liberation from this continuous rebirth (renunciation). We live and die, live and die. We may live the same life in every cycle of the universe or not. We have no control over this unless the mind is trained to bypass the rebirth process altogether during and after dying. It is believed that this can be done through spiritual practice.

By looking at the curvature of space and time is there anything physical that can explain or refute repeating existence? It is mathematically possible to have a chance reoccurance of the same atomic configuration in two independant bodies in the same universe or in different identical universes. This is very unlikely unless space and time are infinite but bound by higher finite dimensions that can trigger duplicate (parallel) or oscillating universes. There are theories in cosmology and quantum gravity that could explain this. Maybe a higher level of maths is needed to solve such problems...