The internal Mapping tracks double

The internal states parameterize two densities, thus also partake in two simultaneous information geometries.

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Intrinsic information geometry: $\mathcal{I}(i)=\frac{{\partial }^2{D}_{KL}[p(i;\mathbf{i})\Vert (p(i;\mathbf{i}+\delta \mathbf{i})]}{\partial {\mathbf{i}}^2}|\mathbf{i}+\delta \mathbf{i}=\mathbf{i}$ Extrinsic information geometry: $\mathcal{I}(e)=\frac{{\partial }^2{D}_{KL}[p(e;\mathbf{e})\Vert (q(e;\mathbf{e}+\delta \mathbf{e})]}{\partial {\mathbf{e}}^2}|\mathbf{e}+\delta \mathbf{e}=\mathbf{e}$

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Evidence

Supporting

Handle	Title	Summary of relevant evidence	Link
Millidge et al. 2021	A Mathematical Walkthrough and Discussion of the Free Energy Principle	p. 13

Counter

Handle	Title	Summary of relevant evidence	Link

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Connections

Synchronisation Manifold

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Metadata

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