THALis: formal setup and technical summary

write out latent dynamics → EEG observation → readout assumptions. where does the actual code fit into this, and what would make the model inapplicable?

archived documents (5cb035f): m1_reservoir_formal.tex and technical_summary.md, initially in src/proof/, with a compiled PDF. The framework models cortical dynamics using a reservoir/dynamical-systems formulation.

reading order: define the latent state and dynamics; specify the EEG observation map; state the assumptions required for the intended readout; then connect those assumptions to the implemented features and outputs. Avoid treating a model analogy as a measured identification of the biological system.

archived code references: 5cb035f.

  • review questions: which quantities are observable, which parameters are fitted, and which are assumed? What would refute the model or make a theorem inapplicable to the recorded data? Separate a theorem under assumptions from an empirical demonstration that the assumptions hold.
  • artifact status: formal-writing milestone. The log records creation of a mathematical document, not independent verification of every result. The later expanded theory documents and review notes should retain their own version provenance.

Takens embedding theorem
Takens embedding theorem

Homebrew LaTeX installation error
Homebrew LaTeX installation error