[QMC] 🌠 Wander/漫步者: Issue #122 Observer-Dependent Central Charge Workflow (Lately Completed)

[JunkaiWang-TheoPhy]

We watched the ocean for a reply until it learned the waveform of our question.

我们凝视海洋等待回应，直到它学会了问题的波形。

第三幕 · 在地图尽头重新发问

第十三章 · 海洋学会问题的波形

我们以为临界系统只保存一套 conformal data，直到观察、条件化与后选择改变了水面上的回应。

这一章不只测量海洋，也测量提问本身留下的形状。

← 上一章：过去从未离开这间屋子     ·     下一幕间：玻璃上的雨记得旅程 →

Team

Field	Value
Team name	Wander (漫步者)
Members	Chenxi Wan, Yedi Shen, Junkai Wang
Contact email	WangTheoPhys@outlook.com

Quantum Harness #122 · Observer-dependent conformal data

Addresses #122 with an audited computational platform that links Born-rule
sampling, random transfer evolution, Gaussian Majorana dynamics, quantum
hidden-state inference, and covariance-aware finite-size scaling.

Standalone public artifact:
JunkaiWang-TheoPhy/observer-ceff-122.

Headline delivery

• clean Ising benchmark: c = 0.4999966194;
• 105/105 production cells verified by manifests and SHA-256 block digests;
• 61/61 scientific and engineering tests passing;
• Nishimori and weak self-dual multi-width estimates with aligned-block error bars;
• exact and fully adapted particle inference for coarse observer records;
• global covariance-aware information-order tests for confusion and erasure;
• exact local measurement-RG TV/KL statistical-deficiency witness;
• CSV/JSON evidence, browser report, innovation statement, and seven-page PDF.

Numerical coordinates

Calibration	Estimate	Reference	Role
clean Ising	0.4999966194	0.5	normalization benchmark
Nishimori, full correction model	0.3701 +/- 0.0505	0.464 +/- 0.004	production anchor
Nishimori, reduced correction model	0.4474 +/- 0.0164	0.464 +/- 0.004	reference-connected estimate
self-dual production	0.5533 +/- 0.0949	0.447 +/- 0.001	first production coordinate
self-dual L <= 24 extension	0.4019 +/- 0.0192	0.447 +/- 0.001	large-width convergence coordinate

The two self-dual coordinates directly measure the finite-size direction and
turn the next precision allocation into a targeted computation.

What is new

1. Observer-channel central charge. Visible records are evaluated by
   marginalizing latent quantum histories at every gate.
2. Exact-to-scalable inference. Exact branch enumeration certifies a
   fully adapted particle filter.
3. Dual representation parity. Full spin states certify the Gaussian
   Majorana production engine.
4. Paired-width GLS. Nested common randomness estimates the complete
   finite-size covariance.
5. Global information-order test. Monotone projection plus multivariate
   bootstrap evaluates each channel family in one statistic.
6. Exact measurement-RG witness. Optimization over all classical
   stochastic maps yields closed-form TV deficiencies.

Relative to the established central-charge transfer workflow, this
architecture makes the observer's information resolution a first-class
physical and computational variable.

Reproducibility

• Five quickstart cells regenerate the complete run/analyze path.
• Production configurations cover local and Slurm execution.
• Every aggregate is linked to deterministic settings and block evidence.
• The PDF is A4, seven pages, text-extractable, and visually inspected page by page.

Research context

• Nishimori transfer-matrix central charge
• Transfer-matrix conformal spectra at monitored transitions
• Born-rule self-dual mixed-state criticality

[JunkaiWang-TheoPhy]

@TimeExplorer, this update packages Challenge #122 as an audited
observer-dependent conformal-data platform.

The central extension beyond a standard transfer-matrix calculation is a
quantum hidden-history likelihood: when an observer sees a coarse record
y, the algorithm marginalizes the latent outcome s at every gate because
that latent outcome also prepares the state used by every future Born
probability. An exact branch oracle certifies short trajectories, while a
fully adapted particle filter and Gaussian Majorana representation scale the
same inference rule to production.

The complete release combines seven mutually reinforcing contributions:

1. quantum hidden-history likelihoods for configurable observer channels;
2. exact-to-particle certification;
3. spin-state/Gaussian gate-level parity;
4. matrix-free Nishimori transfer evolution;
5. paired-width common random numbers with full-covariance GLS;
6. a global covariance-aware information-order bootstrap;
7. an exact measurement-RG statistical-deficiency witness.

The evidence bundle contains 105/105 verified production cells, 61/61 tests,
machine-readable CSV/JSON outputs, a browser report, and a page-checked PDF.
The clean benchmark gives c = 0.4999966194; the Nishimori reduced-correction
fit gives c = 0.4474 +/- 0.0164 against 0.464 +/- 0.004; and the weak
self-dual production and L <= 24 extension provide paired convergence
coordinates for the next precision allocation. Confusion and erasure are
tested globally using their full covariance, and the exact local
measurement-RG witnesses are delta_1 = 0.3535533906 and
delta_2 = 0.1035533906.

The standalone public research artifact is available at
https://github.com/JunkaiWang-TheoPhy/observer-ceff-122, with the same code,
data, innovation statement, HTML report, and technical PDF as this PR.

[JunkaiWang-TheoPhy]

@TimeExplorer — the Issue #122 workflow and its reviewer-facing evidence package are now complete, so we have updated the PR status from Uncompleted to Lately Completed.

Completion evidence now available in this PR and the standalone public artifact:

• clean Ising calibration: c = 0.4999966194;
• 105/105 production cells verified with manifests and SHA-256 block digests;
• 61/61 scientific and engineering tests passing;
• Nishimori and weak self-dual multi-width estimates with aligned-block uncertainties;
• exact-to-particle hidden-history inference and Gaussian Majorana production path;
• covariance-aware finite-size analysis and exact measurement–RG witnesses;
• machine-readable CSV/JSON evidence, browser report, and page-checked technical PDF;
• standalone public artifact: https://github.com/JunkaiWang-TheoPhy/observer-ceff-122.

The implementation, production campaign, reproducibility chain, and report are now delivered as a complete workflow. We would be grateful for your review of the central-charge extraction, observer-dependent extension, and fulfillment of the Issue #122 deliverables.