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| Geometric Logic Lab

Switches the main visualization mode of the laboratory: tree, radiation, spin, de Bruijn and boundary representations.
Inverts the direction of geodesic steps to explore alternative bulk geometry and boundary signal response.
Runs Ricci flow on the tree and shows how curvature, heat profile and related metrics change over time.
Runs adiabatic relaxation of states to observe the transition to more coherent geometry and energy regime.
What is this?
We model logic as dynamic relaxation in topological systems. An environment for numerical experiments, Ricci flow visualization, and holographic duality (AdS/CFT) verification based on the work "Geometric Logic on the Invariant p-adic Twin".

This bench is not intended for commercial use. Author: Kirill Kazakov. Contact: hi@hiholo.ai
wheel = zoom · drag = pan
Bruhat–Tits geodesic tree on the Poincaré disk
Blue nodes and edges show the basic hyperbolic geometry; pink arcs represent radiation, the green circle shows the disk boundary, logic states and induced transitions are drawn with an adaptive multicolor palette, and leaf spinors are visualized as effective complex leaf-states `A e^{iφ}`.
tree nodes geodesic edges radiation logic states / transitions leaf spinors `A e^{iφ}` disk boundary
Boundary signal
Red curve shows where the boundary is most excited by the current bulk geometry.
Orange curve shows in which boundary sectors the current logical readout is most expressed.
Holographic imprint of the bulk geometry on the disk boundary.
Settings
You can change valency, depth, signed hyperbolic step and branching fan width.
Metrics
Current numerical values of geometry, boundary, logic, fractal, adiabatic and holographic convergence.
PDE
Additional mode on top of general geometry: PDE field, constructive node extraction and strict adiabatic verdict for binary Twin cut.