OBSERVATION CHAMBER / ACTIVE

Cloud Chamber Track Observatory

Observe a seeded ensemble of charged-particle candidates and how supersaturation and cooling select a visible track fraction.

particle / track visibility Observation Model

ROUTE 84 / PARTICLE / TRACK VISIBILITY Open the field route

01 / OBSERVE TRACK VISIBILITY

Charged paths leave a visible fraction

READY

Drag SOURCE← → magnetic sign↑ ↓ momentum proxySpace/P runS stepR reset

Deterministic candidate batch ready. Press STEP or RUN.

Generated: 0 / 64
Visible: 0 / 0
Fraction: 0.0%
Mean κ: 0.0000
Candidate hash: --------

0 / 64 candidate paths · 0 visible tracks · 0.0% visible fraction

02 / SET THE MODEL

Particle, field, and chamber state

READY

TRANSPORT

Particle speciescandidate charge rule Magnetic field B+0.60 × B₀ −1 to +1. Sign reversal reverses curvature. Momentum proxy p5.60 p₀ Higher p reduces |κ| in this model. Supersaturation S1.18 Visible boundary: S = 0.90 to 1.35. Cooling C0.72 Visible boundary: C = 0.15 to 0.85. Candidate count N64 Desktop 8–128. Mobile cap 64. Seeduint32 Same seed and path settings reproduce candidateHash.

Drag the amber SOURCE handle at the top of the chamber. Path candidates use a separate deterministic stream from visibility, so S/C changes do not change candidateHash.

KEYBOARD

Space/P run or pause · S one step · R reset · ←/→ B · ↑/↓ p

03 / READ THE ENSEMBLE

Candidate paths and visible traces

seeded batch

Pvisible

vapor(S) × cold(C)

Source

top boundary position

Mean path

visible paths only

Path spread

visible path length

Candidate hash

path/type/charge only

Visibility hash

visibility flags only

B sign

curvature direction

Model state

finite local model

κ = KqB/pK = 0.72

visible boundary0 ≤ Pvisible ≤ 1

track bounds0.045 ≤ x ≤ 0.955

segment cap160 segments / candidate

04 / RECORD THE OBSERVATION

Evidence ledger

local only

Question

How many seeded candidates leave a visible trail?

Path model

κ = KqB/p with bounded finite steps

Visibility model

uᵢ < Pvisible(S,C)

Evidence

Report and PNG describe this current state

Candidate paths are physical model objects. The visible marks are selected by the separate vapor/cooling probability. No ambient or decorative particle field is drawn.

Show generated report

05 / CHECK THE NUMERICS

Deterministic self-tests

pending

The fixture checks field sign, momentum scaling, straight motion, visibility boundaries, seed separation, S/C hash independence, finite bounds, and count limits.

Result	Fixture	Detail

OBSERVATION CONTRACT

An ensemble, not a particle decoration

Each line is a seeded charged-particle candidate. Its charge, momentum proxy, bounded path, and visibility draw are recorded separately. The chamber contains no unrelated moving dots.

WHAT TO WATCH

Change S or C without changing the paths

Hold seed, particle, B, p, source, and N fixed. Move S or C. The candidateHash stays fixed while Pvisible, visibilityHash, and the visible fraction change.

MODEL BOUNDARY

Read a rule, not a detector

This is a deterministic teaching model. It does not claim real droplet sizes, measured particle spectra, detector efficiency, fluid transients, or laboratory data.

OBSERVATION POLICY

This observatory runs a deterministic educational model of charged-particle candidates, ionisation, and visible fraction in a cloud chamber. Values, reports, and images stay in your browser. It does not measure a real chamber, detector, visitor, or material.

FORMULA / CAVEAT

Curvature and visibility are separate rules

κ = KqB / p, dθ/ds = κ

vapor(S) = clamp((S − 0.90) / 0.45, 0, 1)

cold(C) = clamp((C − 0.15) / 0.70, 0, 1)

Pvisible = vapor(S) × cold(C)

The path stream never reads S or C. A separate seeded uniform value uᵢ selects visibility. This makes the path hash a useful audit fixture.

HOW TO OBSERVE

Three controlled comparisons

Press RESET, then STEP or RUN. Repeat RESET with the same seed to reproduce the batch.
Change B from positive to negative. The signed curvature changes direction. Increase p and compare the smaller |κ|.
Keep path settings fixed and move S or C. CandidateHash must stay fixed while the visible fraction changes.