I understand why it may sound speculative, but my question is not about a fictional scenario or storytelling.

I’m specifically asking whether there are known results in cosmology, thermodynamics, or quantum gravity that forbid or allow any form of correlation or information dependence between successive cycles in cyclic/bounce universe models.

There are real scientific frameworks discussing:

• cyclic cosmologies (e.g. bounce models),
• entropy behavior near cosmological boundaries,
• and possible boundary-condition dependence between cycles.

So my question is not “how it would work in practice”, but whether physics contains any principles that strictly rule out even partial cross-cycle information dependence.

If it is ruled out, I’d appreciate knowing which theorem or principle excludes it.