extended Shannon entropy with a learning observer. Here's what I built.
Classical Shannon entropy H(X) is observer-agnostic. It doesn't model what happens when an observer learns over time.
I added exactly that:
**H_lambda(X,t) = H(X | M_t)**
As the observer's model M_t improves, residual uncertainty drops. The system tracks this in real time.
The result is Aether ā a local analysis and reconstruction framework that combines: - Observer-relative residual uncertainty - Structural invariants (symmetry, periodicity, Fourier) - Bayesian + graph state layers - Reconstruction conditions (snapshot + residual) - Local governance and security
During development, the evolutionary subsystem (AELAB) identified Ļ as a recurring structural anchor in raw binary files. This is documented honestly in the whitepaper ā as an observed phenomenon, not a proven theorem.