Phase–Scalar Reconstruction in Practice (PSR-P): Boundary Specification, Domain Discipline, and the Prevention of False Paradox
Authors/Creators
Description
Phase–Scalar Reconstruction (PSR) was introduced as a diagnostic method for dissolving apparent contradictions produced by representational category collapse between scalar descriptions (magnitude, duration, accumulation) and phase descriptions (relational position, boundary completion, structural locking).
In practice, however, PSR can be over-applied: many apparent paradoxes dissolve once implicit boundary assumptions are made explicit.
This paper introduces Phase–Scalar Reconstruction in Practice (PSR-P), a pre-diagnostic methodological gate for determining whether an apparent paradox requires PSR-style reconstruction or dissolves under boundary explication alone. PSR-P contributes a Boundary Specification Test that classifies problems into Type-1 (boundary-coherent; explication sufficient) and Type-2 (boundary-ambiguous or boundary-contradictory; reconstruction warranted).
By preventing false paradox inflation and enforcing disciplined scope, PSR-P strengthens PSR’s credibility while preserving its appropriate domain of application.
Notes (English)
Files
PSR-P_Phase-Scalar-Reconstruction-in-Practice_v1.0_Tang_2026.pdf
Files
(160.1 kB)
| Name | Size | Download all |
|---|---|---|
|
md5:d45561c7f44752777311280a90ac7491
|
160.1 kB | Preview Download |
Additional details
Related works
- Is supplemented by
- Preprint: 10.5281/zenodo.18088686 (DOI)
- Preprint: 10.5281/zenodo.18099232 (DOI)
- Preprint: 10.5281/zenodo.18041277 (DOI)
- Preprint: 10.5281/zenodo.17773361 (DOI)
- Preprint: 10.5281/zenodo.18025011 (DOI)
Dates
- Issued
-
2026-01-24Phase–Scalar Reconstruction (PSR) was introduced as a diagnostic method for dissolving apparent contradictions produced by representational category collapse between scalar descriptions (magnitude, duration, accumulation) and phase descriptions (relational position, boundary completion, structural locking). In practice, however, PSR can be over-applied: many apparent paradoxes dissolve once implicit boundary assumptions are made explicit. This paper introduces Phase–Scalar Reconstruction in Practice (PSR-P), a pre-diagnostic methodological gate for determining whether an apparent paradox requires PSR-style reconstruction or dissolves under boundary explication alone. PSR-P contributes a Boundary Specification Test that classifies problems into Type-1 (boundary-coherent; explication sufficient) and Type-2 (boundary-ambiguous or boundary-contradictory; reconstruction warranted). By preventing false paradox inflation and enforcing disciplined scope, PSR-P strengthens PSR's credibility while preserving its appropriate domain of application.
References
- Goodhart, C. A. E. (1975). Problems of monetary management: The UK experience. In Papers in Monetary Economics (Vol. 1). Reserve Bank of Australia.
- Manheim, D., & Garrabrant, S. (2019). Categorizing variants of Goodhart's Law. arXiv:1803.04585.