THE RECURSIVE FUNCTIONAL REDIRECTION-DIVERGENCE PRINCIPLE (RFRDP)
- 1Independent Researcher
Abstract
This paper proposes the Recursive Functional Redirection-Divergence Principle (RFRDP), a boundary-dependent theoretical framework concerning the possible consequences of recursively redirecting a functional criterion, metric, control rule, evaluation process, or operational procedure toward its own application or operation. The primary case study is The Confirmation Bias Paradox (CBP): a proposed situation in which attempts to prevent confirmation bias may, under particular conditions, become excessively focused on monitoring the monitoring process and thereby interfere with evidence evaluation. The generalized framework does not treat bias as a necessary variable. Instead, it distinguishes four analytically separate stages: functional criterion acquisition, recursive functional redirection, boundary-dependent functional transition, and functional divergence or counterproductive transformation.
The central proposition is conditional rather than deterministic. Recursive self-application may improve performance, have negligible effects, impose additional costs, or impair the original objective. Whether a transition from benefit to harm occurs is an empirical question that depends on the system, objective, available resources, task environment, and operational definitions. The manuscript specifies candidate variables, state-space representations, performance comparisons, boundary definitions, falsifiable hypotheses, countermodels, alternative explanations, and a fourteen-step research protocol. It also proposes thirty comparative case slots across philosophical-epistemological, systems-cybernetic, and mathematical-computational-validation layers. These slots are research plans, not completed studies or evidence.
The framework's potential contribution must be evaluated against existing work on feedback control, metacognition, recursive estimation, second-order cybernetics, metric optimization, resource allocation, and nonlinear dynamics. The paper therefore separates conceptual generalization from empirical confirmation and mathematical notation from validated explanation. RFRDP is classified provisionally as a proposed, falsifiable, threshold-dependent principle whose scope, originality, and predictive value remain open to independent testing.
Related
- THE RECURSIVE FUNCTIONAL RECONSTITUTION PRINCIPLE (RFRP)
- THE RECURSIVE FUNCTIONAL CONVERSION PRINCIPLE (RFCP): A Domain-Independent Candidate Framework for System-Generated Operations, Generalization, Re-Entry, and Functional Conversion
- THE FUNCTIONAL-PROJECTION DIVERGENCE PRINCIPLE (FPDP): A Medium-General and Criterion-Explicit Framework for Analyzing Divergence Between Functional Reality and Its Projected or Evaluated Representation.
- THE SUBSTITUTIVE FUNCTIONAL DIVERGENCE PRINCIPLE (SFDP)
- Maximum principle for discrete-time stochastic recursive games driven by fractional noises
BibTeX
@misc{shan2026recursive,
title = {{THE RECURSIVE FUNCTIONAL REDIRECTION-DIVERGENCE PRINCIPLE (RFRDP)}},
author = {Shamiul Hoque Shan},
howpublished = {Zenodo},
year = {2026},
month = oct,
doi = {10.5281/zenodo.23574547},
url = {https://zenodo.org/records/23574547},
note = {CC BY-NC-ND 4.0},
}
RIS
TY - UNPB
TI - THE RECURSIVE FUNCTIONAL REDIRECTION-DIVERGENCE PRINCIPLE (RFRDP)
AU - Shamiul Hoque Shan
PY - 2026
DA - 2026/10/22
PB - Zenodo
DO - 10.5281/zenodo.23574547
UR - https://zenodo.org/records/23574547
AB - This paper proposes the Recursive Functional Redirection-Divergence Principle (RFRDP), a boundary-dependent theoretical framework concerning the possible consequences of recursively redirecting a functional criterion, metric, control rule, evaluation process, or operational procedure toward its own application or operation. The primary case study is The Confirmation Bias Paradox (CBP): a proposed situation in which attempts to prevent confirmation bias may, under particular conditions, become excessively focused on monitoring the monitoring process and thereby interfere with evidence evaluation. The generalized framework does not treat bias as a necessary variable. Instead, it distinguishes four analytically separate stages: functional criterion acquisition, recursive functional redirection, boundary-dependent functional transition, and functional divergence or counterproductive transformation. The central proposition is conditional rather than deterministic. Recursive self-application may improve performance, have negligible effects, impose additional costs, or impair the original objective. Whether a transition from benefit to harm occurs is an empirical question that depends on the system, objective, available resources, task environment, and operational definitions. The manuscript specifies candidate variables, state-space representations, performance comparisons, boundary definitions, falsifiable hypotheses, countermodels, alternative explanations, and a fourteen-step research protocol. It also proposes thirty comparative case slots across philosophical-epistemological, systems-cybernetic, and mathematical-computational-validation layers. These slots are research plans, not completed studies or evidence. The framework's potential contribution must be evaluated against existing work on feedback control, metacognition, recursive estimation, second-order cybernetics, metric optimization, resource allocation, and nonlinear dynamics. The paper therefore separates conceptual generalization from empirical confirmation and mathematical notation from validated explanation. RFRDP is classified provisionally as a proposed, falsifiable, threshold-dependent principle whose scope, originality, and predictive value remain open to independent testing.
ER -