FRACTARIUM Interactive Observatory for Mathematical and Emergent Phenomena
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OBSERVATION CHAMBER / MVP

Prime Gap Constellation

Scan primes and watch long gaps, twin pairs, and density drift become a star map.

gap Operational

PRIME GAP FIELD

Scan prime gaps as a star map of bright returns, long silent voids, twin flashes, and density drift.
OBSERVING
First observation Use SCAN or RANGE SHIFT to move the window. Drag the field to hunt for long gaps and dense clusters.
PRIME STAR MAP
primes 0 / max 5000
OBS-000 / CONSTELLATION / 00:00

SYSTEM NOTE

Intervals become a sky.

A visual prime-gap field model. Not a formal number theory or proof tool.

OBSERVATION POINTS

Gaps, twins, density, and voids.

  • CONSTELLATION reads gaps as points and trails across a flat star field.
  • SPIRAL and RIDGES reshape the same gaps so density and long intervals become easier to compare.
  • GAP emphasizes long silent spaces; TWIN highlights close returns separated by 2.
  • Unlike a calculator, this chamber is about the rhythm of empty space between prime returns.

OBSERVATION GUIDE

Touchpoints for Observation

Observe prime gaps as a constellation of bright returns, long silent voids, twin-prime flashes, and density drift across a number field.

  • Scan forward, shift the range, drag the canvas to move the observation window, then compare CONSTELLATION, SPIRAL, RIDGES, GAP, TWIN, and DENSITY views.
  • GAP makes long intervals read as visible voids.
  • TWIN highlights short returns separated by 2.
  • DENSITY shows how the star field thins as the range grows.

This is a visual prime-gap field model, not a formal number theory or proof tool.

Runs inside the browser with no upload and no registration.

SYSTEM NOTE

g_n = p_{n+1} - p_n. The chamber maps each visible prime gap into a star-like point, void, or density trace; average spacing is compared with log(x).

OBSERVATION POLICY

This observation LAB runs in your browser. It does not upload images, pointer traces, or input.

Continue observation through connected systems.

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CURRENT Prime Gap Constellation Prime Gap / Density
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This chamber belongs to Structures & Symmetries.

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