FINAL INDEPENDENT ORIGINALITY, VALUE AND SCOPE REVIEW
18 October 2026, America/Chicago.

Exact reviewed source:
D:/LUMINARY/research/self_transport_finite_calibration_20261018/FINITE_CALIBRATION_FINDINGS.txt
SHA256 db4525f5344d5add32130cbd253bb3106a8fe90ed86187bd0a83c474c7171de8.
Read the complete source and its linked BARRIERS_AND_SALVAGE.txt. The earlier
LITERATURE_AND_VALUE.txt is preserved as the discovery/primary-source record.
This is an independent AI review, not external human refereeing.

Decision: PASS for the stated limitation, its elementary salvage and the
source-specific stop recommendation. No meaningful new finite-sample
self-transport contribution has been established. Preserve the earlier
asymptotic theorem and stop this branch at the user's value condition.

1. Mathematical check of the exact negative claim
Sections 2-3 state the quantifiers correctly. At fixed n, the alternatives
f_(m,q)=1+q/(2pi m)sin(2pi m(x_1-x0_1)) are smooth positive probability
densities between 1/2 and 3/2 for sufficiently large m. Their score at x0 is
exactly q e_1. The one-sample TV constant |q|/(2pi^2 m), and product bound
n|q|/(2pi^2 m), are correct. This independently verifies Propositions A-B.
Almost surely bounded general sets have zero infimum coverage. The stronger
whole-line probability uses measurable interval endpoints, and the source
explicitly retains that restriction. Its elementary union-bound proof yields
1-2alpha without reliance on another paper's printed constant.

2. New Section 4: exact zero coverage for the baseline Gaussian balls
The deterministic argument is valid for every finite n and deterministic
epsilon>0 at a confidence level with 0<alpha<1. The exact periodic Gaussian
is smooth, strictly positive and compactly defined, so k_min>0 and G<infinity.
For any positive finite weights, numerator norm is at most G times the sum
of weights and denominator is at least k_min times that sum. The score bound
2G/k_min therefore holds for every sample and every selected positive iterate,
including the exact empirical scale. The same kernel lower bound gives a
deterministic upper bound on the KDE-studentized Gaussian radius. J_d and
the chi-square quantile are finite. Thus all reported balls lie in one fixed
bounded ball about zero. A sufficiently high integer frequency gives an
admissible f_m whose target norm 2pi sqrt(m) exceeds that bound, yielding
exactly zero coverage for every sample. No TV approximation or computed
kernel extrema are required for this conclusion.

Its limitations are correctly stated: the counterexample can depend on n and
epsilon and has growing derivative norms; it is not a failure of fixed-f
asymptotics. Section 4 does not claim a deterministic bound uniform over
arbitrary data-selected bandwidths. The general Section 2 impossibility
already covers bounded procedures with data-selected bandwidths separately.

3. Attribution and originality
The general mechanism is established confidence-impossibility theory, as
documented by the actual primary Dufour and Pfanzagl comparisons in the
earlier report. I read Dufour's relevant propositions, theorem and appendix
proofs in the accessible author version. The final source uses none of its
potentially differing printed/appendix alpha constants; its proof is direct.
Pfanzagl's publisher preview establishes the general thematic overlap; the
full article was unavailable and the final source does not claim to have
read it or to reproduce an exact full-text proposition.

Section 4 is a clear model-specific specialization with a stronger concrete
statement than an infimum-coverage-zero assertion. Its proof is nevertheless
the immediate combination of bounded kernel scores/radii and the elementary
unbounded derivative family. No new statistical impossibility principle or
nontrivial self-transport mechanism is supplied. It is a useful scope result
for this research record, not a substantial standalone publication increment.
No worldwide novelty or priority conclusion follows from this search.

Section 5's heat bias bounds, bounded-variable concentration, ratio bound
and confidence-set inflation are valid standard constructions under their
declared known class constants and deterministic bandwidth. The cited source
shows the simultaneous fixed-KDE event, so using an adaptive same-sample tau
does not require a new stopping penalty. Neither small inflation, efficiency,
new optimality nor a finite-n Gaussian law is asserted. Generic Newton/adjoint
certificates remain established numerical analysis, not originality evidence.

4. Value and disposition
The useful outcome is preventing an unjustified strengthening of edition two
from fixed-density asymptotics to honest finite-sample inference. It identifies
the missing quantitative smoothness control and separates numerical accuracy
from statistical bias. A specified bounded smoothness class or a smoothed
target is a possible different research objective; this source does not
pretend to have solved its strongest useful quantitative theorem.

No manuscript, new theorem-family count, publication clearance or further
research agenda is justified by this outcome alone. The stated stop decision
is supported by the precise final source and the checked predecessor overlap.
