UNNS SUBSTRATE RESEARCH PROGRAM · COSMOLOGICAL BOUNDARY ROUTING · 2026-06-09

Cosmological Boundary Routing

Three-dataset structural study of singularity removal as admissibility-preserving route topology — classical Friedmann contraction, effective LQC bounce, and Planck-anchored ΛCDM expansion — processed through STRUC-PERC-I v2.5.0, STRUC-I v1.0.4, alpha-deformation, and orientation-sensitive A–B–C bridge v1.1.
3 / 3 FULL_PERCOLATION 0 HARD · 0 GIANT · 0 TAIL 3 DATASETS · A / B / C BRIDGE v1.1 · ORIENTATION-SENSITIVE A: TERMINAL APPROACH · −1 → 0 B: FINITE ROUTE REVERSAL · −1 → 0 → +1 C: BOUNDARY RECESSION · 0 → +1 B κ_connect / A,C κ_connect ≈ 7.5× B: WEAK PERSISTENCE · ρ̄ = 0.306 BOUNCE ADMISSIBLE · NEAR-BOUNCE SHELL SENSITIVE SOURCE: Planck 2018 · Synthetic Friedmann · Synthetic LQC (v2.2)
Instrument: STRUC-PERC-I v2.5.0 · STRUC-I v1.0.4 · Bridge v1.1 Dataset A: synthetic classical Friedmann contraction · 4001 rows · a = 1 → 10⁻⁸ Dataset B: effective LQC contraction–bounce–expansion · 4001 rows · v2.2 Dataset C: Planck 2018 ΛCDM expansion · 4001 rows · H₀ = 67.32 km/s/Mpc Status: A / B / C / Alpha / Bridge / Route-profiles complete · Canonical margin not yet frozen
§1 CORPUS OVERVIEW — 3 DATASETS · 3/3 FULL_PERCOLATION · ZERO DIRECT PERCOLATION VIOLATIONS
3
TOTAL STRUC-PERC RUNS
3
FULL PERCOLATION
0
HARD / GIANT / TAIL
3
ROUTE CLASSES
7.5×
κ RATIO B / A,C
0.306
B MEAN PRESSURE ρ̄
0.0416
A,C MEAN PRESSURE ρ̄
98.83%
B ADMISSIBILITY PERSIST.
99.26%
A,C ADMISSIBILITY PERSIST.
0
BOUNCE-CROSSING UNSTABLE
FINDING §1.1
3 / 3 FULL_PERCOLATION — all three canonical direct ladder encodings reach full connectivity, with zero direct percolation violations

All three canonical direct ladder encodings — classical Friedmann contraction (A), post-bounce LQC expansion (B), and Planck-anchored ΛCDM (C) — return FULL_PERCOLATION with final giant ratio = 1.000 and isolated = 0. The result holds even for Dataset B, whose expansion ladder requires a connectivity threshold approximately 7.5 times larger than A or C to assemble. This is not a failure of B: it indicates that the selected post-bounce LQC expansion encoding carries a structurally broader gap hierarchy than the matched classical encodings. All three canonical direct encodings preserve A_κ = 1.000 across the tested STRUC-I κ range. The full Dataset B route also remains overwhelmingly admissible under α deformation (98.83% admissibility persistence), with all localized instability confined to symmetric near-bounce shells and none at the exact turning surface.

§2 DATASET ARCHITECTURE — ROLE, TRAJECTORY, AND ROUTE COORDINATE
THREE-DATASET DESIGN · COSMOLOGICAL BOUNDARY ROUTING PILOT CORPUS
DatasetPhysical RoleSourceRows Route Coord.Route ClassBranch Convention
A — Classical Friedmann Contraction toward a→0 terminal boundary Synthetic · Planck 2018 params · H<0 4001 −1 → 0 terminal_boundary_approach a = 1 → 10⁻⁸ · monotone
B — Effective LQC Bounce Contraction → exact bounce (H=0) → expansion Synthetic · effective LQC v2.2 · ρ_c = 0.41ρ_Pl 4001 −1 → 0 → +1 finite_turning_surface_route 2000 contraction + 1 bounce + 2000 expansion
C — Planck ΛCDM Classical expansion compatible with CMB observations Planck 2018 best-fit · PR3 TTTEEE+lowl+lowE 4001 0 → +1 boundary_recession_expansion a = 10⁻⁸ → 1 · monotone
Route coordinate is cumulative |Δln(a)|, path-intrinsic, not a final metric distance on ℳ_adm · boundary_margin_candidate remains provisional · v2 normalization authoritative for alpha and bridge comparisons
PLANCK 2018 ANCHOR PARAMETERS · DATASET C + A BASELINE
ParameterBest-Fit ValueUnit
H₀67.3218km s⁻¹ Mpc⁻¹
Ω_m0.31580dimensionless
Ω_Λ0.68420dimensionless
Ω_b h²0.022377dimensionless
Ω_c h²0.12010dimensionless
Likelihood tagbase_plikHM_TTTEEE_lowl_lowE · PR3 2018
T_CMB2.7255K
N_eff3.046
DATASET B — LQC BOUNCE PARAMETERS · v2.2 VALIDATED
PropertyValue
Effective equationH² = H₀² · ρ_rel · (1 − ρ_rel / ρ_c_rel)
ρ_c0.41 × ρ_Planck
a_bounce2.468 × 10⁻³²
H at bounce0 (exact)
ρ / ρ_c at bounce1 (exact turning surface)
LQC correction at bounce0
Branch time bounce → a=113.7989 Gyr
Planck age reference13.7973 Gyr
Difference0.00163 Gyr (<0.012%)
Bounce-safe coord.q_B = asinh(H_signed / H₀)
ρ/ρ_c = 1 at bounce does not signal inadmissibility — it marks the finite turning locus in the provisional margin construction · branch time concordance with Planck reference confirms the intended post-bounce age calibration
§3 STRUC-PERC-I — DIRECT CONNECTIVITY GEOMETRY
STRUC-PERC-I RESULTS · v2.5.0 · 3 RUNS · ALL FULL_PERCOLATION
DatasetVerdictκ_connectGiant RationTail Dom.IsolatedLadder Used
A — Classical Friedmann FULL 0.013335 1.000000 4001 0 0 ln(|H|/H₀) sorted · full 4001
B — Effective LQC Bounce FULL 0.100000 1.000000 † 2000 0 0 Post-bounce expansion only · ln(E_lqc) ‡
C — Planck ΛCDM FULL 0.013335 1.000000 4001 0 0 ln(|H|/H₀) sorted · full 4001
† A and C: GR at κ=0.01 = 0.97675 (77 components each), full connectivity at κ=0.013335 · B: GR at κ=0.01 = 0.53277 (22 components), full connectivity at κ=0.1000 · B direct ladder = post-bounce expansion only (2000 rows) · ‡ ln(E_lqc) undefined at exact bounce; contraction branch excluded from sorted direct ladder to avoid duplicate magnitudes
κ_CONNECT COMPARISON — ALL DATASETS
Linear scale · max = κ_connect(B) = 0.1000
A — Classical
0.013335
B — LQC Bounce
0.100000
C — Planck ΛCDM
0.013335
Ratio: κ_connect(B) / κ_connect(A,C) = 7.5×
A and C are degenerate in sorted magnitude geometry because one is the time-orientation reversal of the other · B requires a much larger vulnerability scale reflecting a broader gap hierarchy in the LQC expansion branch
INITIAL GIANT RATIO AT κ = 0.01 vs FINAL
GR scale 0 → 1.000
GR at κ = 0.01
A — Initial GR
0.97675
B — Initial GR
0.53277
C — Initial GR
0.97675
Final GR at κ_connect
A — Final GR
1.000
B — Final GR
1.000
C — Final GR
1.000
At κ=0.01: A has 77 components (GR=0.97675), C has 77 components (GR=0.97675), B has 22 components (GR=0.53277) · A and C are already giant-component dominated but not yet fully connected at κ=0.01 · all three reach GR=1.000 at their respective κ_connect thresholds
FINDING §3.1
B is fully connected but structurally broader — κ_connect 7.5× larger than A or C, reflecting the LQC expansion gap hierarchy

Dataset B's sorted expansion ladder requires κ_connect = 0.1000 to form a single connected structure, versus 0.013335 for both A and C. This 7.5-fold elevation is not an admissibility violation — it is a structural distinction. The selected post-bounce LQC expansion encoding carries a broader gap hierarchy than the matched classical encodings. This is consistent with, but does not by itself causally isolate, structural inheritance from the preceding bounce transition; the α analysis, not the direct ladder, localizes behavior around the quantum-transition shell. At the smallest tested vulnerability scale (κ = 0.01), A and C are already dominated by a giant component containing approximately 97.675% of the ladder (77 components each), while B's expansion branch is substantially more fragmented (GR = 0.53277, 22 components). Full connectivity for A and C is achieved at κ = 0.013335; Dataset B requires κ = 0.10000.

§4 STRUC-I — STRUCTURAL PRESSURE AND ADMISSIBILITY STATE
STRUC-I RESULTS · v1.0.4 · MC RUNS = 2000 · κ STEPS = 40
DatasetRegimeStatemean A_κmin A_κmean ρmax ρρ at κ=1n
A — Classical Friedmann Geometric Persistence STABLE STRUCTURE 1.000000 1.000000 0.04157 0.29026 0.29026 4001
B — Effective LQC Geometric Persistence WEAK PERSISTENCE 1.000000 1.000000 0.306052 0.636336 0.450930 2000
C — Planck ΛCDM Geometric Persistence STABLE STRUCTURE 1.000000 1.000000 0.04163 0.29052 0.29052 4001
MEAN STRUCTURAL PRESSURE ρ̄ — COMPARISON
Scale 0 → max(ρ̄) = B = 0.306
A — mean ρ̄
0.04157
B — mean ρ̄
0.30605
C — mean ρ̄
0.04163
Ratio: ρ̄(B) / ρ̄(A,C) ≈ 7.4×
MAXIMUM STRUCTURAL PRESSURE max(ρ) — COMPARISON
Scale 0 → max(ρ) = B = 0.636
A — max ρ
0.29026
B — max ρ
0.63634
C — max ρ
0.29052
B max ρ = 0.636 · 2.2× A,C maximum · classified as Weak Persistence
A_κ = 1.000 at all κ for all three canonical direct ladder encodings — none cross the admissibility boundary under the direct STRUC-I operator · B classified Weak Persistence on structural pressure, not on A_κ failure · B full-path α analysis carries 98.83% admissibility persistence with localized near-bounce instability
FINDING §4.1
All three canonical direct ladder encodings preserve A_κ = 1.000 across the tested κ range — but B occupies a substantially more pressured admissible regime

The admissibility metric A_κ = 1.000 holds at every κ point for all three canonical direct encodings. No direct ladder enters a non-realizable structural state. However, Dataset B's mean structural pressure (ρ̄ = 0.306) exceeds A and C (ρ̄ ≈ 0.042) by a factor of approximately 7.4. Its maximum reaches 0.636 compared to 0.290 for A and C. The STRUC-I classification of Weak Persistence (versus Stable Structure for A and C) captures this: B remains admissible but lies closer to the structural boundary, operating under substantially higher internal deformation pressure. This elevated pressure is measured in the post-bounce LQC expansion ladder and reflects its broader sorted gap geometry. Note that B's direct STRUC-I uses only the 2000-row post-bounce expansion ladder; the near-bounce spatial localization belongs to the full-path α analysis.

§5 ALPHA-DEFORMATION — 5D STRUCTURAL VECTORS AND INSTABILITY LOCATION
5D ALPHA VECTORS — ALL DATASETS · alpha ∈ [0.50, 1.50] · 21 POINTS · 84,000 GRID ROWS
Datasetmean GRvar GRAniso. Persist.Adm. Persist.Onset RadiusUnstable RowsVersion
A — Classical Friedmann 0.244475 0.022290 0.172874 0.992619 0.45 620 / 84,000 v2.0.0
B — Effective LQC 0.259626 0.041446 0.001171 0.988310 0.05 982 / 84,000 v2.2.0
C — Planck ΛCDM 0.244475 0.022290 0.172874 0.992619 0.45 620 / 84,000 v2.0.0
A and C 5D vectors are degenerate under magnitude-only treatment — orientation is erased in sorted scalar ladders and recovered only in Bridge v1.1 · B uses full signed bounce path with Q90 regional normalization and response cap = 5
ADMISSIBILITY PERSISTENCE — ALL DATASETS
Scale 98% → 100%
A · v2.0.0
99.26%
B · v2.2.0
98.83%
C · v2.0.0
99.26%
All values in the range 98.8–99.3% · B 0.43pp below A,C · distinction is the location and nature of instability, not the global admissibility fraction
DATASET B — INSTABILITY LOCATION BY REGION
All 982 unstable rows confined to symmetric near-bounce shells
contraction_outer
0
contraction_near_bounce
491
bounce_crossing
0 ✓
expansion_near_bounce
491
expansion_outer
0
Instability shell: 0.03 ≤ ρ/ρ_c ≤ 0.82 · first onset at |α−1| = 0.05 (strict first-local-instability coordinate, not global collapse) · exact bounce crossing: 0 unstable rows
FINDING §5.1
The exact turning surface (bounce_crossing) is admissible across the full alpha grid — instability is confined to the surrounding quantum-transition shell

The 982 unstable rows in Dataset B are distributed symmetrically: 491 in the contraction near-bounce region and 491 in the expansion near-bounce region. Zero unstable rows occur at the exact bounce-crossing intervals. The outer contraction and outer expansion regions are entirely stable. This pattern identifies the quantum-transition shell (approximately 0.03 ≤ ρ/ρ_c ≤ 0.82) as a narrow deformation-sensitive region surrounding, but not including, the turning surface itself. The collapse onset radius of 0.05 is a strict first-local-instability coordinate: localized near-bounce sensitivity begins at a five-percent deformation, while 98.83% of the full grid remains admissible. The LQC bounce is not structurally forbidden — it is admissible at the exact turning point and broadly stable away from the transition region.

§6 ABC BRIDGE v1.1 — ORIENTATION-SENSITIVE ROUTE COMPARISON
Why v1.1 was necessary. Under sorted magnitude geometry (direct ladders and magnitude-only alpha), Datasets A and C are nearly degenerate — their sorted ln(|H|/H₀) values are essentially the same sequence. The orientation distinction between contraction and expansion is erased. Bridge v1.1 restores signed Δln(a), signed H flow, signed density and curvature flows, signed provisional-margin flow, branch identity, and a shared cumulative route coordinate. This is what separates terminal boundary approach from boundary recession in the structural representation.
BRIDGE v1.1 DATASET SUMMARY · NORMALIZED SIGNED FLOWS · Q90 DATASET-SPECIFIC SCALE
Datasetn_intervalsRoute Coord.n_turn_crossmean Δln(a)mean H flowmean density flowmean curvature flowmean margin flowRoute Class
A 4000 −1 → 0 0 −0.5000 −0.1008 +0.4627 +0.4806 −0.0928 terminal_boundary_approach
B (full path) 4000 −1 → 0 → +1 2 ≈ 0 ‡ +0.0587 ≈ 0 ‡ ≈ 0 ‡ ≈ 0 ‡ finite_turning_surface_route
C 4000 0 → +1 0 +0.5000 −0.1008 −0.4627 −0.4806 +0.0928 boundary_recession_expansion
‡ B full-path signed means nearly cancel due to pre/post-bounce symmetry — this is the expected signature of route reversal, not absence of structure · branch-resolved interpretation is authoritative for B
BRANCH-RESOLVED PROFILE — DATASET B · FIVE PHASES · v1.1
Phasen_intervalsRoute Coord.mean Δln(a)mean H flowmean density flowmean margin flowm-dec fracm-inc frac
A — terminal approach 4000 −1 → 0 −0.5000 −0.1008 +0.4627 −0.0928 0.538 0.000
B pre-bounce approach 1999 −1 → ≈ 0 −0.3045 +0.0588 +0.2988 −0.1002 0.0970 0.000
B turning surface 2 ≈ 0 ≈ 0 1.76×10⁻⁴ 0 0 0.000 0.000
B post-bounce recession 1999 ≈ 0 → +1 +0.3045 +0.0588 −0.2988 +0.1002 0.000 0.0970
C boundary recession 4000 0 → +1 +0.5000 −0.1008 −0.4627 +0.0928 0.000 0.538
Normalized flows dimensionless · sign-preserving · bounded [−1,+1] · Q90 dataset-specific normalization · compare direction and relative within-path flow only, not absolute physical amplitudes across models · turning surface H flow = 1.76×10⁻⁴ (near-zero, not identically zero; Δln(a), density, and margin flows are 0 by exact symmetry)
§7 ROUTE TOPOLOGY — THE DECISIVE STRUCTURAL DISTINCTION
ROUTE COORDINATE TOPOLOGY — THREE CLASSES IN ONE DIMENSIONLESS COORDINATE
−1 0 +1 SHARED ROUTE COORDINATE (cumulative |Δln a|) shared route-zero locus A — contraction A: TERMINAL APPROACH A: classical terminal limit B pre-bounce B: finite bounce H=0, ρ=ρ_c B post-bounce B: FINITE ROUTE REVERSAL C — expansion C: BOUNDARY RECESSION C: early boundary ref A B C
Route coordinate is path-intrinsic · constructed from cumulative |Δln(a)| · not yet a universal metric distance on ℳ_adm · all three canonical direct encodings remain admissible across the tested STRUC-I κ range
DATASET A — TERMINAL APPROACH
Route: −1 → 0
Δln(a)
−0.500
H flow
−0.101
density flow
+0.463
margin flow
−0.093
Margin-dec fraction: 0.538
Margin-inc fraction: 0.000
→ Approaches terminal boundary
DATASET B — FINITE ROUTE REVERSAL
Route: −1 → 0 → +1 (branch-resolved)
Pre-bounce (1999 intervals):
Δln(a)
−0.305
density flow
+0.299
margin flow
−0.100
Turning surface (2 intervals): Δln(a), density, margin flows = 0; H-flow ≈ 1.76×10⁻⁴
Post-bounce (1999 intervals):
Δln(a)
+0.305
margin flow
+0.100
Pre/post symmetry: |pre| ≈ |post| ← reversal signature
→ Reaches turning locus · reverses · continues
DATASET C — BOUNDARY RECESSION
Route: 0 → +1
Δln(a)
+0.500
H flow
−0.101
density flow
−0.463
margin flow
+0.093
Margin-inc fraction: 0.538
Margin-dec fraction: 0.000
→ Recedes from early boundary regime
A–C directional separation: Under sorted magnitude geometry, A and C are nearly degenerate (both use ln(|H|/H₀) sorted, both have n=4001, both have κ_connect = 0.013335 and admissibility persistence = 0.992619). Bridge v1.1 resolves this: A has mean signed Δln(a) = −0.500, C has +0.500; A has density flow +0.463, C has −0.463; A has margin flow −0.093, C has +0.093. They are not the same trajectory — they are opposite orientations of matched magnitude structure.
§8 PRINCIPAL FINDING — COSMOLOGICAL BOUNDARY ROUTING
PRINCIPAL FINDING
Classical singular approach, LQC route reversal, and Planck-compatible expansion are structurally distinguishable by route topology

The combined experiment produces one route topology result readable in a single dimensionless coordinate. Dataset A (classical Friedmann contraction) approaches a terminal boundary: scale factor decreases, density increases, provisional margin decreases, and the represented classical route terminates at coordinate zero, with no continuation included in Dataset A. Dataset C (Planck ΛCDM expansion) recedes from the corresponding early boundary regime: all signs are reversed relative to A. Dataset B (effective LQC) exhibits neither pattern — it approaches a finite turning locus at coordinate zero, preserves path continuity through the route change (zero unstable rows at the exact bounce crossing), and continues onto the opposite branch. The three route classes — terminal approach, finite route reversal, boundary recession — are computationally distinguishable within this controlled pilot corpus. Magnitude-only analysis cannot produce this distinction; orientation-sensitive route comparison is required.

FINDING §8.1
The cosmological pilot identifies a second boundary-routing morphology: finite turning-locus continuation

Stellar Boundary Dynamics identified branching routing: a catastrophic event generates internally admissible but mutually non-equivalent downstream regimes. All three stellar phases returned FULL_PERCOLATION, but the ABC bridge revealed A→B contact with C branching — demonstrating that internal admissibility is not cross-regime equivalence. The cosmological experiment identifies a complementary morphology: turning-locus routing, in which a continuous trajectory approaches a finite critical locus, reverses orientation, and remains admissible through the route change. The identity-preserving path is not broken; it is re-routed. Together, the two corpora support a broader Boundary Routing framework while retaining distinct topological signatures — branching downstream in the stellar case, continuous reversal in the cosmological case. The route topology changes while direct structural admissibility is preserved across all canonical encodings and full-path α admissibility remains overwhelmingly persistent; localized sensitivity is confined to the near-bounce shell rather than the exact turning locus.

§9 CONSOLIDATED COMPARISON — ACROSS ALL STRUCTURAL LAYERS
BOUNDARY ROUTING MORPHOLOGY — STELLAR vs COSMOLOGICAL
PropertyStellar Boundary DynamicsCosmological Boundary Routing
Boundary eventCore-collapse supernovaFinite LQC turning locus
Routing morphologyBranching routingTurning-locus routing
Identity-preserving pathBroken at collapse; downstream regimes separatePreserved continuously through reversal
Route topologyA→B contact · C branchesA terminates · B reverses · C recedes
Downstream resultMultiple internally admissible, mutually non-equivalent regimesOppositely oriented single branch
Admissibility signatureFULL in each phase; cross-regime separation ≠ inadmissibilityDirect A_κ=1 in all encodings; exact turning locus admissible
Principal bridge findingAB weak/contact · BC strong separation · C branchesTerminal approach / route reversal / boundary recession (route coord)
Main sensitivity locationCross-regime bridge distance (C strongly separated)Near-bounce α shell (exact turning locus stable)
UNNS theoretical gainInternal admissibility ≠ cross-regime equivalence (Prop. 6.2)Admissible route continuation through finite turning locus (this corpus)
Both corpora support the broader principle: catastrophic transitions may preserve admissibility while changing route topology · the two morphologies are complementary, not interchangeable · together, the two corpora support a broader framework in which admissibility-preserving boundary events can produce distinct routing morphologies: downstream branching or continuous turning-locus reversal
FULL LAYER COMPARISON — A / B / C
LayerA — Classical FriedmannB — Effective LQCC — Planck ΛCDM
Physical roleClassical contractionLQC bouncePlanck expansion
Route coordinate−1 → 0−1 → 0 → +10 → +1
Route classterminal_boundary_approachfinite_turning_surfaceboundary_recession
Percolation verdictFULLFULL (post-bounce expansion ladder)FULL
κ_connect0.0133350.1000000.013335
Initial GR (κ=0.01)0.97675 · 77 comp.0.53277 · 22 comp.0.97675 · 77 comp.
STRUC-I stateSTABLE STRUCTUREWEAK PERSISTENCESTABLE STRUCTURE
Mean structural pressure ρ̄0.041570.3060520.04163
Max structural pressure ρ0.290260.6363360.29052
Admissibility persistence99.26%98.83%99.26%
Collapse onset radius0.450.05 (near-bounce)0.45
Exact turning pointnoneadmissiblenone
mean Δln(a) signed−0.500≈ 0 (cancellation)+0.500
mean density flow signed+0.463≈ 0 (cancellation)−0.463
mean margin flow signed−0.093≈ 0 (cancellation)+0.093
5D vector statuspreliminarypreliminarypreliminary
A–C degeneracy in sorted scalar?YES — A and C are degenerate in the sorted scalar representation; Bridge v1.1 resolves their opposite orientations.
§10 WHAT IS AND IS NOT ESTABLISHED IN THIS PILOT CORPUS
COMPUTATIONALLY ESTABLISHED · WITHIN SELECTED MODELS AND CONVENTIONS
A and C are directionally distinct despite magnitude degeneracy
Dataset B contains a finite exact bounce: H=0, ρ/ρ_c=1
The exact bounce is admissible across the full alpha grid
Dataset B post-bounce expansion ladder returns FULL_PERCOLATION
Dataset B carries higher structural pressure than A and C
Dataset B exhibits a symmetric near-bounce sensitivity shell
Bridge v1.1 separates terminal approach, finite reversal, and boundary recession in one shared route coordinate
Branch-resolved B profiles preserve non-cancelling pre/post structure
Post-bounce branch time concordant with Planck age reference (<0.012%)
3/3 canonical cosmological ladder encodings returned FULL_PERCOLATION — zero Hard, Giant, or Tail direct verdicts
NOT YET ESTABLISHED · OPEN ITEMS
That LQC is the correct theory of the early universe
That a cosmological bounce occurred in nature
Direct observational confirmation of singularity removal
A universal metric distance on ℳ_adm
A final canonical UNNS boundary margin (frozen)
Deformation normalization independent of Q90 and response cap
That all non-singular cosmologies route through the same structural mechanism
Observational test of bounce-generated perturbation spectrum vs CMB / BAO / Pantheon+
Extension beyond this effective LQC construction to other singularity-removal models
Interpretive limits: The shared route coordinate is path-intrinsic (constructed from cumulative |Δln(a)|), not a final physical metric distance on ℳ_adm. Q90 normalization is dataset-specific — normalized values compare direction and relative within-path flow, not absolute physical amplitudes across different cosmological models. The collapse_onset_radius = 0.05 for Dataset B is a strict first-local-instability coordinate; it does not indicate global trajectory collapse under five-percent deformation. boundary_margin_candidate remains diagnostic-only. All three 5D vectors carry preliminary status pending canonical margin freeze.
§11 PROGRAM STATUS — COSMOLOGICAL BOUNDARY ROUTING PILOT
STAGE COMPLETION CHECKLIST
✓ COMPLETE — Dataset A trajectory (classical Friedmann, 4001 rows)
✓ COMPLETE — Dataset A direct structural analysis (STRUC-PERC-I + STRUC-I)
✓ COMPLETE — Dataset A alpha application (v2.0.0)
✓ COMPLETE — Dataset B trajectory (LQC v2.2, validated bounce)
✓ COMPLETE — Dataset B direct structural analysis (expansion branch)
✓ COMPLETE — Dataset B alpha application (v2.2.0, five-region Q90)
✓ COMPLETE — Dataset C trajectory (Planck 2018, 4001 rows)
✓ COMPLETE — Dataset C direct structural analysis
✓ COMPLETE — Dataset C alpha application (v2.0.0)
✓ COMPLETE — A–B–C Bridge v1.1 (orientation-sensitive)
✓ COMPLETE — Route-profile dataset (5 phases, branch-resolved)
✓ COMPLETE — Phase summary dataset
✓ COMPLETE — Consolidated synthesis
NEXT RESEARCH STEPS
→ NEXT — Formal technical manuscript (models, results, alpha, topology, limits)
→ NEXT — unns.tech research article with interactive route-profile visualizations
→ AUDIT — Verify all numerical values against stored CSV/JSON outputs
→ AUDIT — Freeze accepted script versions
→ AUDIT — Archive rejected normalization runs separately
○ LATER — Phase 2: Pantheon+ Type Ia supernova constraints
○ LATER — Phase 2: SDSS/eBOSS BAO distance-scale constraints
○ LATER — Bounce perturbation spectrum vs CMB observables
○ LATER — Extension to ekpyrotic / cyclic / modified gravity bounce models
○ LATER — Canonical UNNS margin freeze
§12 METHODOLOGICAL FIXED POINTS — REQUIRED FOR MATCHED RERUNS
CONVENTIONS THAT MUST REMAIN FIXED IN ALL MATCHED RERUNS
Fixed PointValue / ConventionApplies To
Dataset B effective equationH² = H₀² · ρ_rel · (1 − ρ_rel / ρ_c_rel)B trajectory
ρ_c convention0.41 × ρ_PlanckB trajectory
Hybrid grid (contraction + bounce + expansion)4001 rows (2000 + 1 + 2000)B trajectory
Bounce-safe signed coordinateq_B = asinh(H_signed / H₀)B alpha
Five structural regionscontraction_outer / contraction_near_bounce / bounce_crossing / expansion_near_bounce / expansion_outerB alpha
Q90 regional normalizationscale = Q90(|raw flow|) per regionB alpha
Response cap5B alpha
Active channel weightssigned-flow 0.35 · density 0.30 · curvature 0.20 · composition 0.15B alpha
Shared route coordinatecumulative |Δln(a)| — A: [−1,0] · B: [−1,+1] · C: [0,+1]Bridge v1.1
Signed-flow normalizationf_norm = raw / (Q90(|raw|) + |raw|) · dataset-specific Q90Bridge v1.1
Branch-resolved B interpretationPre-bounce / turning surface / post-bounce separately (full-path means are cancellation artifacts)Bridge v1.1
Planck anchorbase_plikHM_TTTEEE_lowl_lowE · PR3 · best-fit .minimum valuesA + C trajectories
UNNS SUBSTRATE RESEARCH PROGRAM — COSMOLOGICAL BOUNDARY ROUTING · 2026-06-09
Instruments: STRUC-PERC-I v2.5.0 · STRUC-I v1.0.4 · Bridge v1.1 · Alpha v2.0.0 (A,C) · Alpha v2.2.0 (B)
Source: Planck 2018 PR3 (TTTEEE+lowl+lowE) · Synthetic Friedmann · Synthetic LQC effective bounce v2.2
All 5D vectors carry preliminary status · canonical UNNS boundary margin not yet frozen · route coordinate is path-intrinsic, not a final metric distance on ℳ_adm
inv(P_ε; L) ≤ ν(V_ε(L))