Researchers at the University of Southampton in the UK successfully stored the entirety of the human genome sequence onto an indestructible 5D optical memory crystal no bigger than a penny. The indestructibility claims are no joke since the discs can withstand temperatures up to 1,000°C, cosmic radiation, and even direct impact forces of 10 tons per cm2.
It’s actually cromulent technical terminology to call those extra degrees of freedom “dimensions”, it’s only in common parlance that “dimension” is restricted specifically to spatial dimension. Having hundreds or even thousands of dimensions is not unknown in data science.