Differential Geometry

Third lens; used to elucidate the self-as-coordinate-system and enlightenment as intrinsic geometry.

Neighborhood — ranked by edge-count

paper

thinker

concept

Ego-Centric Coordinate System (φp0)
associated_with
Models ordinary consciousness as observation fixed to a single origin point on the phenomenal manifold.
Intrinsic Geometry / Coordinate Independence
associated_with
General covariance and Theorema Egregium ground the elucidation of enlightenment as direct description independent of any coordinate system.
Geodesic
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Locally length-minimizing curve on the manifold, used to elucidate the Noble Eightfold Path.

cosine ≥ 0.65 · no typed edge

Entities in the same semantic neighborhood but without a typed relation to this one — candidates for new edges or unrecognized duplicates.

Geometryconcept0.822
The actual shapes and spatial relationships of buildings, essential to living structure.
Physical Dynamics Geometryconcept0.813
The geometry corresponding to physical dynamics, instantiated in the video world model test domain
Graph Geometryconcept0.794
A more complex geometric structure used to characterize in-context learning task representations
real-world geometryconcept0.777
The structured geometry present in the external world (e.g., circles, spatial manifolds) that networks learn to mirror.
Information Geometryframework0.776
Second lens; used to elucidate attachment and suffering via KL divergence.
concept geometryconcept0.768
The spatial/geometric organization of conceptual structure within neural network representations; central to the paper's thesis.
Differentiation as geometric generationconcept0.763
The process through which form is created by successive differentiating operations, not by adding parts.
Geometry of featuresconcept0.760
Research thread within About Blank concerning the structure and relational properties of neural network feature representations; covariance pooling tangentially supports this thread.