Can I ask a related question? Is there a physical model available that allows for immortality (eternally stable structure) in a cyclic model of the universe only (limited space with finite time between cycles)?

MWI and other parallel universe models seem to allow for suitable ways of replication and escape - but I never found anything related for a cyclic model. There is talk of surviving the Heat death (superconductor based computers) and Big Crunch/Big bang (using suitable black holes, etc..) - but there is one specific problem I haven't seen addressed: Particle decay.

If everything else works as planned and a future stable structure is created - in a cyclic model - Is there any way to prevent it from catastrophically desintegrating through particle decay (which is bound to happen in enough finite time)?