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0 sats \ 1 reply \ @beyond_turbulence OP 9 Nov \ on: The Geometric Topology of Intentionality relationships
This paper presents a root; a mathematical formwork conceptualizing intentionality as a geometric space Θ, where points represent states of consciousness and paths represent transformations of meaning.
We classify types of information distortion using topological and algebraic geometric concepts, providing a formal taxonomy of communication strategies from pure truth transmission to reckless fabrication.
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0 sats \ 0 replies \ @beyond_turbulence OP 12 Nov
  1. Taxonomy of Intentional Deformations
PURE Étale morphism. Minimal distortion with direct truth transmission along natural geometric flows.
CONSTRUCTIVE Smooth deformations. Strategic framing that maintains surface continuity while altering local curvature.
ALLUSIVE Hidden homology cycles. Information travels through non-trivial loops, suggesting connections without stating them.
OBLIQUE Shearing transformations. Tangential distortions preserving some geometric properties while radically altering others.
INDIRECT Coordinate chart manipulations. Changing local frames of reference to make truths appear different while technically accurate.
DIRECT Unstructuring operations. Creating intentional discontinuities in the semantic surface – explicit falsehoods as topological defects.
SPECIFIC Targeted handle attachments. Adding specific deceptive structures to particular regions of the information surface.
GENERAL Global reparameterization. Rescaling and remapping the entire semantic landscape to fit alternative narratives.
RECKLESS Chaotic homeomorphisms. Uncontrolled transformations that destroy fundamental topological invariants of truth.
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