Work

Formalization of the ${Ddpr}{(Dupertation})$ Operator

Year: 2026

Type: article

Abstract: Classical combinatorics employs the permutation operator $P(n, r)$ to measure ordered selections by treating elements as abstract, invariant multipliers. This approach neglects the physical state transitions of the background depository ($n-r$). Under the $\mathrm{Ddpr}$ framework, extracting an element from the background consumes its residual microstate probability ($1/n$), decoupling it from background multiplicative scaling and transitioning it into an independent foreground state container.

Source: Zenodo (CERN European Organization for Nuclear Research)

DOI: 10.5281/zenodo.23134341

Author: Pektas, Alper

Language: English

Topic: Advanced Combinatorial Mathematics

Subfield: Discrete Mathematics and Combinatorics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7219579078

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