FINITE STRUCTURE / OPEN CORRESPONDENCESearch the record ⌕
Overview/Evidence/Signed reconstruction
21 October 2026 · Reconstruction contract 0.1

Signed traces survive.
The phase gate fails.

A frozen reconstruction contract separates fast carrier, complex rotating envelope and squared-voltage proxy across 891 circuit channel-records.

01

Retain complex phase before squaring.

Each channel’s fixed carrier comes from its previously explored record zero. Records 1–99 are evaluated without carrier retuning, using a ±5 kHz positive-frequency band. The records vary in drive-frequency metadata; they are not identical repeated trials, and the extension is not blinded or independently preregistered.

The signed finite-DFT analytic representation round-trips all evaluated records with maximum absolute error 1.5544×10⁻¹⁵ V. Demodulation retains the complex envelope. Taking its magnitude or square discards sign and phase.

Published source dataset →
02

The failed threshold stays frozen.

The gate requires signed RMS residual ≤5% and phase-floor coverage ≥95%. Every record fails the composite test; all interior phase fractions are zero. Median RMS residuals range from 4.26% to 9.86% by channel.

The phase floor uses the maximum complex residual over the entire post-trigger window. Its conservatism can retain endpoint effects despite an interior guard. This run does not identify which contribution dominates, and the gate is not loosened after observing failure.

Machine-readable summary →All 891 record diagnostics ↓
03

A numerical residual has a defined reference.

The report gives explicit amplitude, phase and squared-envelope truncation inequalities relative to the full finite-DFT analytic signal. These bounds do not include instrument gain, timing skew, nonperiodic boundary error or a complete physical energy map.

Five synthetic controls pass. Amplitude and squared-envelope inequalities are checked on all 891 records; empirical accepted-point phase checks have no eligible points. Independent review is pending. Development — no registry entry.

Next: freeze a boundary-treatment comparison against synthetic transients and nonperiodic carriers, then distinguish endpoint effects from omitted bands. Absolute native support and energy calibration remain open.

Reproduction code ↓Energy-clock-support theorem →