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THE MERCURIAL WORLDPUZZLE FOUNDRY · PF-07
BLACK KNIGHT / TRANSIT ARRAY
THE INVISIBLE LADDER
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Mercury at an orbital threshold facing a sequence of luminous ascending steps toward the remote Black Knight object above Earth.
Tune the ratio. Reveal the next step.The opening image is the threshold. The instrument below makes the represented ladder operational.
Enter the instrument
PF-07 / OPERATING BRIEF

Tune the ratio. Reveal the next step.

Learn one logarithmic gesture, then use it to make three routes materialize one luminous footprint at a time. When the map is complete, the array will reveal the present route state for you—no answer hunt required.

Geometry can reveal a route. It cannot supply credentials, living assent, or permission.
LIVE TRANSIT ARRAYLEARN THE INSTRUMENT
ORIGIN · BRIDGE DECK · 1:1
FIRST: USE THE DIAL BELOW TO TUNE 2×
BLACK KNIGHT
REMOTE ORBITAL OBJECT
ROUTE DESTINATION
Do this first: the target is 2×. Turn the single tuning dial below—or use the 2:1 preset. You are learning the instrument, not solving the route yet.
RATIO f / fref1.000×
REHEARSAL
Drag around the dial · mouse wheel · ←/→ · presets are allowed
WHY ONE DIAL WORKS

Equal doublings make equal climbs

The dial controls a ratio, not a raw vertical distance. Height is drawn on a logarithmic scale:

r = f / fref    ·    h(r) = H log2(r)

So 1×→2× and 2×→4× are both one octave of ratio and therefore appear as equal vertical intervals. The music/math language reveals the map; it does not cause levitation or confer permission.

1× → 2×+1 log₂ unit
2× → 4×+1 log₂ unit
4× → 8×+1 log₂ unit

Calibrated ratio presets

The highlighted preset is the target. Clicking it is not cheating: the tuning itself is training. The later route interpretation is the puzzle.
ROUTE SYNTHESIS

Finish the map. The verdict will reveal itself.

Complete each route geometry and the array will combine technical reachability, credential authority, living assent, and hard-interlock state into one current-state reveal.

ROUTE QUALIFICATION0 of 3 routes complete
Complete the 2× / 4× rehearsal first; then choose a route.
MAP REQUIRED · R1 0/5 · R2 0/7 · R3 0/5
OPTIONAL · LATER STATE

What changes when assent actually arrives?

This is explicitly a later-window simulation. It does not rewrite the original decision. It lets you feel the distinction between route known and route currently authorized.

TRAVERSAL

Run the ladder

Once R2 is authorized in the simulated later state, Mercury can run the revealed footprints up or down. The first footprint—not the bridge—is the threshold.

Black Knight threshold reached.
The Transit Array visualization is complete. In controlled Black Knight continuity, actual ingress remains supervised Open Carriage → Three Downs under crew authority. The ladder is the route representation, not a replacement transport mechanism.
Continue to the Black Knight story →
Story crossing only · this does not convert route geometry into ingress authority.
Technical reachability, credential authority, living assent, and hard interlock are separate predicates. The log-frequency ladder represents route geometry; it does not manufacture permission, assent, or transport authority.
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