DATASET A PRELIMINARY STRUCTURAL REPRESENTATION MANIFEST
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Input trajectory: C:\Users\igorc\OneDrive\Desktop\UNNS_SUBSTRATE(desktop)\TRANSFER\Bulk_2\REGIME_SYNTHESIS\Cosmological Boundary Routing\cosmological_boundary_routing\A_classical_friedmann\generated_trajectory\validated\classical_friedmann_approach_validated.csv
Sorted ladder: C:\Users\igorc\OneDrive\Desktop\UNNS_SUBSTRATE(desktop)\TRANSFER\Bulk_2\REGIME_SYNTHESIS\Cosmological Boundary Routing\cosmological_boundary_routing\A_classical_friedmann\canonical\ladder\classical_friedmann_response_ladder_preliminary.csv
Direction-preserving path: C:\Users\igorc\OneDrive\Desktop\UNNS_SUBSTRATE(desktop)\TRANSFER\Bulk_2\REGIME_SYNTHESIS\Cosmological Boundary Routing\cosmological_boundary_routing\A_classical_friedmann\canonical\ladder\classical_friedmann_response_path_preliminary.csv
STRUC-I input: C:\Users\igorc\OneDrive\Desktop\UNNS_SUBSTRATE(desktop)\TRANSFER\Bulk_2\REGIME_SYNTHESIS\Cosmological Boundary Routing\cosmological_boundary_routing\A_classical_friedmann\canonical\ladder\classical_friedmann_response_ladder_preliminary_struc_i.csv

DATASET
Dataset A — matched classical Friedmann contraction

SCALAR RESPONSE COORDINATE
q_A(a) = ln(E(a))
E(a) = |H(a)| / H0

REPRESENTATIONS
1. Sorted ladder: values ordered numerically for STRUC-PERC-I.
2. Direction-preserving path: values retained in contraction order from a = 1 toward a = 1e-8.
3. STRUC-I ladder: sorted ladder with a single 'value' header.

COUNTS
trajectory rows = 4001
ladder elements = 4001
unique ladder elements = 4001
gap count = 4000

RANGE
minimum q_A = 0
maximum q_A = 32.195396200066021
minimum gap = 0.0021926269157571138
maximum gap = 0.0092102612933970818

PATH CHECKS
scale factor strictly decreasing = yes
H_signed negative throughout = yes
path start scale factor = 1
path end scale factor = 1e-08

STRUC-PERC-I SETTINGS
domain adapter = Generic
kappa points = 17
kappa minimum = 0.01
kappa maximum = 1.0

STRUC-I SETTINGS
maximum ladder size = 5000
Monte Carlo runs = 2000
kappa steps = 40
kappa minimum = 0.01
kappa maximum = 1.0

EXPECTED RELATION TO DATASET C
Dataset A and Dataset C use the same E(a) magnitude, Planck anchor, scale-factor samples, and scalar mapping.
Therefore their sorted q = ln(E) ladders are expected to be identical, while their path orientation and signed-H representations differ.

STATUS
PRELIMINARY

INTERPRETIVE LIMITS
- The sorted ladder removes trajectory direction.
- Direct STRUC-PERC-I and STRUC-I results cannot by themselves distinguish expansion from contraction when the scalar sets are identical.
- The direction-preserving path must be retained for alpha analysis and later A/B/C bridge metrics.
- boundary_margin_candidate remains provisional.
