Is that even five dimensional? Polarization is one more, but can each point in space contribute to an arbitrary (or even just large) number of different polarization? I do not see where the fifth might come from.
The billion year claim does not seem to be validated, unlike similar research which used tungsten and silicon carbide[1], i.e. two different materials. The million/billion year durability was verified by substituting long periods of time with higher temperatures, i.e. heating the storage medium, and then checking the error rate.
[1]: https://doc.utwente.nl/74827/1/Vries2010MME.pdf / https://www.utwente.nl/en/news/!/2013/10/141415/a-mega-to-gi... (not peer reviewed?)