Persistent Cognitive Machine with Logarithmic-Scaling Geometric Reasoning Platform

A computer system configured to execute software instructions stored on nontransitory machine-readable storage media, wherein the software instructions comprise instructions that:

• maintain a cognitive manifold comprising a differentiable mathematical space having a geometric shape;
• perform geometric reasoning operations on the cognitive manifold comprising curvature-flow operations which change the geometric shape of the cognitive manifold to represent knowledge contained in the geometric reasoning operations on the cognitive manifold;
• monitor compression pressure across the cognitive manifold;
• where the compression pressure in one or more areas of the cognitive manifold exceeds a threshold, collapse the geometric shape of the cognitive manifold to consolidate the accumulation of redundant knowledge in the one or more areas of the cognitive manifold into shared representational basins, thereby reducing the total curvature and compression pressure within the one or more areas of the manifold;
• wherein accumulation of knowledge on the cognitive manifold due to the geometric reasoning operations increases at a superlinear rate while resource costs of performing the geometric reasoning operations on the cognitive manifold increase at a sublinear rate due to the compression of the one or more areas of the cognitive manifold.