Conscious singularity is a phrase for the idea that we (each of us humans) are only one conscious perspective that can exist at a time. This means stated in a different way that there cannot be two or more awarepaths with the same ixperiencitness existing at the same time. It does not necessarily mean that there cannot be two identical consciousnesses (awarepaths) existing at the same time, but the two identical awarepaths can never have the same identical ixperiencitnesses.
Conscious singularity also called consingularity, does not eliminate the possibility of life after death, it just means that only one physipath will carry on the ixperiencitness of the original. The problem is in determing which physipath will carry on the ixperiencitness of the original. Singular theories of conscious existence have no real scientific way of doing this. It cannot be structure and functioning of the brain that carries on the ixperiencitness or you have multiplicity. This is because structure and functioning can be duplicated in many ways and forms leading to many different types of immortality. It cannot be identical consciousness that carries on the ixperiencitness because consciousness can be duplicated by duplicating the structure and functioning of the body. Then there are supernatural concepts like souls or spirits which are unfounded wishful thinking with no scientific evidence for them. Nor is there even a coherent system of interrelated ideas about souls, that people can agree to. This leaves a singular theory of conscious existence based on the body. However, there is no coherent scientific way of determining body identity over time, thus no scientific way of determining personal identity over time, thus no way of determining ixperiencit identity either.
Awaretheory predicts that many different awarepaths can exist at the same time with the same ixperiencitness. This means that you are or can be at any one time much more that a singular conscious perspective.