UNNS Substrate Research Programme · Voyager 2 Corpus

Structural Trajectories in Realizability Space

Voyager 2 plasma as a time-resolved test of the UNNS Substrate. 628 DLCP-compliant runs · 4 observables · 11-year heliosheath traverse · 2007–2018.

📄 Manuscript PDF 📊 Corpus Analysis ⚗️ STRUC-PERC-I Chamber 📦 Raw Data ZIP
Corpus Overview STRUC-PERC-I v2.4 · DLCP Δ=1024 · stride=256
Total Runs
628
12 epochs · 157–158 windows/var
FULL Dominant (V+T+w)
448
95.1% of V+T+w · 22 TAIL/GIANT
HARD Dominant (density)
155
98.7% · 2 trivial FULL (2009, κ=1)
Theorem 1 Triggers
156
155 density systematic · 1 V isolated
Dominant-Class Conformance
96%
603 / 628 match expected dominant class
GIANT Transitions
3
V: 2018 win01–02 · w: 2017 win06
Class Distribution & Trajectory Structure 96.0% dominant-class conformance
Class Composition — 628 Runs
V
93%
158 runs
T
97.5%
157 runs
w
94.9%
156 runs
ρ
98.7%
157 runs
FULL (dominant)
TAIL (boundary-adjacent)
GIANT (transition onset) ▲
HARD (dominant)
Trajectory Phase Structure — 2007–2018
Rise2007–09
Relaxation2010–2016
Conv.2017–18
Three-phase directed trajectory: thermal peak post-termination shock, relaxation through mid-heliosheath, coordinated multi-variable softening with GIANT onset preceding heliopause. Not consistent with random traversal through isotropic medium.
2009 Peak
T κ = 941.8 · w κ = 396.3 · V = 269.3. Thermal-kinematic decoupling.
2014 & 2017
V episodic minima (82.0, 98.2). T/w unaffected. Channel separation.
2018 Onset
3 GIANT windows. V tail → 0.249. w κ = 82.1. First inter-chart excursions.
Annual κconn Trajectory — V, T, w Continuous structural evolution within dominant regime
κconn time series · 2007–2018 · annual mean
κ — Velocity (V)
κ — Temperature (T)
κ — Thermal speed (w)
▲ GIANT epoch
Boundary approach zone
Tail Dominance Trajectory — Proposition 5 V secular −55% decline signals boundary approach
Tail dominance · annual mean · 2007–2018
Tail Dom — V (monotone decline)
Tail Dom — T
Tail Dom — w
Proposition System Corpus evaluation — Sections 3 & 10
Proposition 1
Temporal Structural Continuity
κ, tail dom, GR, margin evolve continuously/piecewise. Every sharp variation corresponds to identifiable physical cause.
✓ Confirmed
Proposition 2
Dominant-Regime Persistence
Trajectories stay in dominant class at 96.0%. Deviations are localized and structurally conditioned. Observable representation defines the baseline regime.
✓ Confirmed
Proposition 3
Detectable Boundary Approach
Boundary approach = coordinated coordinate softening + emergence of boundary-adjacent classes. Three GIANT windows confirm localized FULL→GIANT onset.
◐ Partially Confirmed
Proposition 4
Trajectory Regularity
γ(t) is locally smooth within dominant class. Derivative discontinuities align with discrete physical events (shocks, sector boundaries).
✓ Confirmed
Proposition 5
Margin as Temporal Indicator
Sustained d(m)/dt < 0 is a probabilistic forward indicator. V tail dominance falls −55% (0.556→0.249), consistent with trajectory moving toward ∂C_FULL.
▷ Supported
Synthesis · §10.4
Trajectories in ℳadm
P1–3 define realizability dynamics: continuous, regime-constrained trajectories with structurally detectable transition onset. UNNS Substrate is inherently dynamical.
✦ Core Result
Key Empirical Findings
Finding Evidence Type UNNS implication
96.0% dominant-class conformance 603/628 runs. V 93.0% · T 97.5% · w 94.9% · ρ 98.7%. Boundary-adjacent exceptions all GR > 0.97. Core result Dominant-regime persistence law confirmed
FULL→GIANT onset (3 windows) V 2018 win01–02, w 2017 win06. GR > 0.99. Temporally localised at heliopause approach. First observation First localized inter-chart transitions in UNNS corpus
Thermal-kinematic decoupling 2009: T κ = 941.8, V κ = 269.3. 2014/2017: V collapses while T stable. Independent structural drivers. Physical Heliosheath is anisotropic, channel-separated
Density Theorem 1 (155 systematic) All 155 HARD density windows trigger T1. ~57 unique values/window. PLS instrument discretisation. Systematic Density joins TiO₂ as 2nd canonical discrete-regime domain
V tail dom: −55% secular 0.556 (2007) → 0.249 (2018). Monotone decline consistent with sustained ∂m/∂t < 0. Prop 5 Margin as forward temporal indicator of boundary approach
Directed 3-phase trajectory Rise 07–09, relaxation 10–16, convergence 17–18. Inconsistent with random heliosheath traversal. Physical Heliosheath has internal structural gradient field
Data Pipeline DLCP-compliant · Δ=1024 · stride=256 · sort+unique+finite
Input / Output Flow
🛸 Voyager 2 PLS CDFs2007–2018 · 12 files
→
🔧 voyager_ladder_pipeline.pyDLCP-compliant
→
📐 Time-Local Ladderssort+unique+finite
→
⚗️ STRUC-PERC-I v2.4628 evaluations
→
🗂️ summary.json × 628class · κ · GR · tail
→
📊 γ(t) in ℳadmstructural trajectories
Window: Δ=1024 samples (~55 h at 192 s cadence) · stride=256 · α_min=0.95 · raw physical units. Download raw ZIP →
Predictions for Independent Trajectories §9 — Falsifiable
Prediction Confirmed by Falsified by
P1 — Dominant-Class Persistence Any independent heliosheath traverse: each observable stays in dominant class >90% of windows Stochastic class switching uncorrelated with physical events
P2 — Metric Non-Universality Voyager 1 (northward) shows distinct κ(t) profile while remaining within FULL class Identical κ profiles across structurally independent trajectories
P3 — Non-Identical Boundary Approach Pre-crossing κ decline in any independent ISM-approach trajectory, at different rate than V2 2017–18 Abrupt class transition at heliopause with no preceding structural softening
P4 — Continuity Constraint m(L(t)) piecewise continuous in any slowly evolving system >15× κ change in 75%-overlapping windows without physical boundary event