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Visual Guide to the Model - Geometric Universe

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How to read these figures
• Nodes: points, events, or parameter states. Circles denote scalar values; squares denote vector/tuple states.
• Edges: relations or transformations. Solid = deterministic; dashed = inferred or approximate; dotted = constraint.
• Arrows: causal or computational direction. Double-headed arrows indicate symmetry or equivalence classes.
• Colors: blue = geometric primitives; orange = dynamics; green = observables; violet = symmetries; grey = uncertainty bounds.
• Layers: background grids suggest coordinate choices; overlays mark invariants (kept consistent across figures).

Tip: Captions link to the deeper explanation in Overview, Framework, or Foundations.
Style swatch
Legend swatch showing node shapes, line styles, and color codes
These canonical diagrams define the model’s geometric primitives and relationships. Captions summarize the role of each figure and link to extended discussion.
  • Primitive manifold and coordinate patches
  • Metric structure and curvature cues
  • Symmetry actions and invariants
  • Composite constructions used later in dynamics
Manifold with overlapping coordinate patches and transition maps Metric field indicated by anisotropic grid spacing and curvature cues Group action orbits with highlighted invariants Fiber-bundle style diagram with connection hints Embedded submanifold with projection arrows Constraint surface showing feasible region boundaries
How to interpret
Each card represents a reusable building block. When a later figure references a block, the colors and symbols remain consistent with the legend above.
State transition diagram showing process flow
Update Rule Over Time
Discrete update steps illustrated as arrows over state space; highlights conserved quantities.
These panels sketch how model structures map to data: which observables are predicted, which are post-fit, and which diverge from ΛCDM. Use them as an index into the evidence and framework pages.
CMB anisotropy map with overlaid model correspondence markers Hubble diagram with model-specific trend overlay Large-scale structure web with feature annotations
Reading note
Blue overlays indicate model-native predictions; grey bands indicate observational uncertainty; dashed lines mark areas needing more data.
How to use this map
Follow arrows for suggested reading orders. Solid lines: prerequisite paths; dashed lines: optional deep dives. Circles indicate summaries; squares indicate detailed references.
Orientation note
For non-technical readers, begin with the Overview path; for formal details, jump to Foundations. Evidence & Tests tracks live status of comparisons and predictions.
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