System and method for experiential manifold cognition in persistent cognitive machines

A computer system for implementing experiential manifold cognition comprising:

• a memory storing processor-executable instructions;
• one or more processors configured to execute the instructions to:
• maintain an experiential manifold data structure comprising a differentiable manifold, a Riemannian metric tensor encoding semantic relationships between cognitive elements, a compression pressure field governing memory consolidation and abstraction, and a potential field encoding goals and attentional focus;
• receive input data at a streaming data handler that:
• monitors for incoming data;
• applies incremental updates to diffusion coordinates and manifold topology without global recomputation;
• and
• manages data buffers with temporal windowing to maintain geometric consistency during real-time data ingestion;
• transform the input data into geometric representations on the experiential manifold using adaptive geometric diffusion based on semantic similarity relationships;
• execute geometric transformations on the experiential manifold using a Graphics Processing Unit (GPU)-accelerated processing architecture implementing a multi-queue operator scheduler that coordinates parallel execution of geometric operator kernels, wherein the geometric transformations comprise one or more of:
• metric evolution based on curvature and field gradients;
• geodesic computation for determining optimal paths through the differentiable manifold;
• and
• curvature estimation for guiding manifold evolution;
• perform autonomous manifold evolution during non-interactive periods through trajectory recombination and selective pruning based on cognitive energy density;
• provide a user interface enabling visualization of manifold structure, interactive navigation through the cognitive space, and direct manipulation of geometric properties;
• translate user actions into geometric operations wherein user navigation corresponds to geodesic traversal and user edits correspond to metric modifications;
• maintain continuity of the experiential manifold across system sessions by preserving geometric field data including the metric tensor, curvature values, compression pressure, and potential fields;
• and
• enable controlled synchronization between multiple experiential manifolds through shared submanifolds at an intersection of user-defined consent boundaries and weighted integration of geometric updates;
• and
• wherein the computer system maintains persistent cognitive capabilities through continuous geometric evolution of the experiential manifold both during user interaction and autonomous operation.