npub1c9m22hkc5h6zgrwkz48crhcpw6vch2rf6j97746ugl3neys86jeqyz9xjd (npub1c9m…9xjd) Alright, principal components is a volume-preserving rotation into a set of un-correlated Gaussians distributions (in your case). Say they have standard deviation sigma_n (n=1...).
"Entropy" information would be sum_n(-log_2(sigma_n)). This might diverge and need renormalising.
Effective degrees of freedom should be 2^entropy. That's
product_n(1/sigma_n).