Explorations
Scale Ladder
The distance axis from atomic to cosmic on one log scale.
The Hl☉ distance axis spans from the hydrogen
flip-length (21 cm) to the observable universe on a single
logarithmic scale. Defined landmarks are computed from framework
constants; measured landmarks are cited observational values
converted to Hl☉. Dual tick labels show the
c = 1 conjugate: distance
(Hl☉) and light-travel time (HT☉), offset by
exactly 10.
scroll to zoom · drag to pan · double-click to reset
Compare — true 3-D separation
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This visualization shows the local-to-cosmic distance ladder on
the framework’s native log axis, with solar-system
positions from JPL Horizons (barycentric, geometric, refreshed daily). Radial
position (distance from barycenter) and true inter-object
separation (3-D Cartesian) are distinct quantities, distinguished
in the comparison tool. This is a Euclidean, solar-system-scale
demonstration; cosmological-distance behavior (z-dependent) is a
separate regime not represented here.
PROTIUM v1.0