Adaptive Record Consistency in a Schulman-Type Model

Abstract

Adaptive measurements test whether a retrocausal model preserves observable records when experiments are connected by classical feedback. We establish exact and quantitative composition constraints for a finite-width, coplanar Schulman-type source with positive wrapped-Cauchy propagation weights. Raw segment composition admits an explicit adaptive signalling witness. A uniquely determined scalar correction preserves recorded continuations, and a detector with preparation memory implements this correction while retaining the source correlations. For common, independently prepared terminal detectors coupled to the source through arrival angles, exact calibration forces equal-mass antipodal atomic responses. Under setting-only raw feedback, the sharp minimum worst disturbance of an earlier record is ε_⋆(0)=[2cosh(2Γ)]⁻¹, where Γ is the total source-path width. We derive explicit finite-error bounds and prove linear small-error improvement. For four settings at Γ=0.4, a uniform reduction over arbitrary nonnegative response measures and a continuous polynomial certificate establish ε_⋆(δ)=ε_⋆(0)−C_0.4δ+O(δ²), with C_0.4≃9.351091771057010. A positive five-atom detector attains this coefficient. The results quantify the compatibility of isolated-source accuracy and adaptive record preservation, and provide precise design conditions for retrocausal apparatus models with explicit preparation, memory, and control.

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BibTeX RIS

BibTeX

@misc{weerasinghe2026adaptive,
  title = {{Adaptive Record Consistency in a Schulman-Type Model}},
  author = {D. M. Theshan N. Weerasinghe},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.17607},
  eprint = {2609.17607},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.17607},
  note = {CC BY 4.0},
}

RIS

TY  - UNPB
TI  - Adaptive Record Consistency in a Schulman-Type Model
AU  - D. M. Theshan N. Weerasinghe
PY  - 2026
DA  - 2026/09/19
PB  - arXiv
DO  - 10.48550/arxiv.2609.17607
UR  - https://arxiv.org/abs/2609.17607
AB  - Adaptive measurements test whether a retrocausal model preserves observable records when experiments are connected by classical feedback. We establish exact and quantitative composition constraints for a finite-width, coplanar Schulman-type source with positive wrapped-Cauchy propagation weights. Raw segment composition admits an explicit adaptive signalling witness. A uniquely determined scalar correction preserves recorded continuations, and a detector with preparation memory implements this correction while retaining the source correlations. For common, independently prepared terminal detectors coupled to the source through arrival angles, exact calibration forces equal-mass antipodal atomic responses. Under setting-only raw feedback, the sharp minimum worst disturbance of an earlier record is ε_⋆(0)=[2cosh(2Γ)]^−1, where Γ is the total source-path width. We derive explicit finite-error bounds and prove linear small-error improvement. For four settings at Γ=0.4, a uniform reduction over arbitrary nonnegative response measures and a continuous polynomial certificate establish ε_⋆(δ)=ε_⋆(0)−C_0.4δ+O(δ^2), with C_0.4≃9.351091771057010. A positive five-atom detector attains this coefficient. The results quantify the compatibility of isolated-source accuracy and adaptive record preservation, and provide precise design conditions for retrocausal apparatus models with explicit preparation, memory, and control.
ER  -

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