Skip to content
Shadow Theory

Constructive sources and readers

Robust Phase-to-Record Conversion with Retained Loss Outputs

Bounded interactions convert a phase distinction into stable flags with all loss and null branches retained.

Jeremy Rodgers · Independent Researcher · 2026-10-27

The question and the results

Which physical interaction turns an intensity-invisible phase distinction into a stable, readable flag when coupling, lifetime and calibration are limited?

  • A complete two-mode source and bounded coherent reader retain conclusive, null and loss branches, including arbitrary inert references. A solved finite-lifetime control problem supplies an attaining sharp success frontier.
  • Amplitude, phase and visibility uncertainty lead to an analytic minimax conditional-error/conclusive-rate frontier. An entrance filter separates the reader ratio from common uncertain conversion.
  • Controlled-path overlap bounds quantify imperfect matching and the distance of the resulting pointer/reference channel. Retaining an output and having permission to measure it remain separate conditions.

Connections to the programme

The complete argument.

Read every section on site, including the mathematics, proofs, examples and references. Each section has its own address for citation and navigation.

  1. 01Orientation and abstract
  2. 02Task, antecedents and operational scope
  3. 03Bounded coherent conversion and complete detector records
  4. 04Preparation uncertainty and a sharp conditional-error frontier
  5. 05A calibrated filter with common uncertain conversion
  6. 06Sharp protection against imperfect controlled-path matching
  7. 07Operating examples, compatibility and reproducibility
  8. 08References

Technical companion

Technical Companion: Detector Interfaces and Retained Outputs

Complete detector comparisons, finite references, calibration and monitoring under declared access conditions.

Read the complete companion →

Publication and computational material.

Original PDFComplete searchable textOriginal verification supplement ZIPReading inventory

The supplied publication is a PDF. Prose reflows as HTML where its notation permits; complex mathematical passages retain their exact source-vector layout with searchable transcriptions. The transcription preserves extracted symbols rather than fraction or matrix structure.