Add DISC Mathematical Foundations, update portfolio stats (49 models, 22,598 total downloads)

README.md

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       → DualMind (DualMind SFT on Opus 4.6 reasoning data) ← you are here
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+## Mathematical Foundations: Discrepancy Calculus (DISC)
+
+DualMind's dual-cognition architecture connects to Discrepancy Calculus through **Continuous Thought Dynamics** (Ch. 19 of the DISC monograph) — which models inference as a discrepancy-guided PDE where the explore→examine→respond cycle corresponds to a controlled trajectory through cognitive phase space.
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+The discrepancy operator:
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+$$Df(x) = \lim_{\varepsilon \downarrow 0} \frac{1}{\varepsilon} \int_x^{x+\varepsilon} \frac{|f(t) - f(x)|}{|t - x|}\, dt$$
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+quantifies the mismatch between what the model generates (integration) and what it should generate (differentiation). The `<explore>` phase increases discrepancy energy freely; `<examine>` applies the Adaptive Discrepancy Derivative (ADD, Ch. 14) to detect drift; `<response>` minimizes residual discrepancy into a clean output. The three phases implement the BV decomposition operationally: smooth reasoning, jump corrections at error boundaries, and Cantor-type refinement of subtle drift.
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+Full theory: *"On the Formal Analysis of Discrepancy Calculus"* (Colca, 2026; Convergent Intelligence LLC: Research Division).
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 ## Related Models
 
 | Model | Description | Downloads |
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 *Convergent Intelligence LLC: Research Division*
 *"Where classical analysis fails to see, we begin."*
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