concept
active
concept:intrinsic-geometry-coordinate-independence

Intrinsic Geometry / Coordinate Independence

General covariance and Theorema Egregium ground the elucidation of enlightenment as direct description independent of any coordinate system.

Neighborhood — ranked by edge-count

Frameworks (1)

framework
  • Differential Geometry
    associated_with
    Third lens; used to elucidate the self-as-coordinate-system and enlightenment as intrinsic geometry.

Concepts (1)

concept
  • Nirvāṇa
    analogous_to
    The state of awakening beyond concepts; referenced as the inexpressible goal.

Related by similarity (8)

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.

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    The actual shapes and spatial relationships of buildings, essential to living structure.
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  • Dynamic model connecting logic to geometry through explicit treatment of information flow and interaction; demonstrates emergent logical complexity from simple copy-cat processes.
  • concept geometryconcept0.689
    The spatial/geometric organization of conceptual structure within neural network representations; central to the paper's thesis.
  • Cyclic Geometryconcept0.686
    One of the geometric structures used to characterize reasoning task representations in language models, used as a test case for manifold steering
  • The structured geometry present in the external world (e.g., circles, spatial manifolds) that networks learn to mirror.
  • The geometric relationships among Big Five trait steering vectors in activation space, found to be preserved across architectures
  • The geometry corresponding to physical dynamics, instantiated in the video world model test domain