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Orthogonal tensor (hypercube) assumes independent axes. Shear into parallelotope (hyper-rhomboid) models entangled dimensions. The shear angle encodes correlation strength; the Gram matrix of the shear IS the compression dictionary. 6 stack mappings: - PIST n-D: Cartesian → Bundle → Radial = hypercube → rhomboid → collapsed - Topological state machine: transition = shear on state tensor - N-D Gene Hypothesis: gene = n-D rhomboid, 3D structure = projection shadow - FAMM: preshaped delay = sheared time-domain rhomboid - OAC: latent cavity in sheared rhomboid space - Waveprobe: curvature = local shear angle of coordinate basis 3 compression interpretations + information gravity metric tensor
11 lines
742 B
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11 lines
742 B
Text
created: 20260507000000000
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modified: 20260507000000000
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tags: ResearchStack Lean Language Manifold
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title: Meta Manifold Language Merging
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type: text/vnd.tiddlywiki
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! Meta Manifold Language Merging
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Meta-Manifold Language Merging (`0-Core-Formalism/lean/Semantics/MetaManifoldLanguageMerging.lean`) constructs a meta-manifold from language manifolds, embedding each language in 5D torus topology with Menger sponge routing. Fold dynamics minimize cross-manifold energy. Includes Mass Number gates for admissibility and fold points between torus, Menger, and Gabriel's Horn structures. Paper: `6-Documentation/papers/OTOM/17_Meta_Manifold_Language_Merging.md`.
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Durable Source: `0-Core-Formalism/lean/Semantics/MetaManifoldLanguageMerging.lean`
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