Mapping Inseparability (MI) Theorem: Interdisciplinary Wings of Science

We prove Mapping Inseparability (MI) Theorem. Let observed state be Z = η + ∆,where η is baseline first principle and ∆ is input-driven deviation.The central result is that inseparability is in-built: neither η alone nor ∆ alone candetermine the observed Z. This is not an assumption but a structural property of thedecomposition. Any attempt to represent Z by only η or only ∆ fails.This 2 → 1 unification has history in science. Newton unified two motions intoone law, Einstein unified light and matter, Abdus Salam unified electromagnetic andweak forces. MI provides the general mathematical condition for when such unificationis necessary — when baseline and deviation must co-exist. Numerical test confirmsZ = η + ∆ with error 2.3 × 10−16.

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-10-09
DOI
https://doi.org/10.5281/zenodo.23255595
Primary Topic
Advanced Mathematical Theories
Type
article
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article

Mapping Inseparability (MI) Theorem: Interdisciplinary Wings of Science

DR. ZULFIQAR ALI KHAN
Zenodo (CERN European Organization for Nuclear Research)
Advanced Mathematical Theories
article

Mapping Inseparability (MI) Theorem: Interdisciplinary Wings of Science

DR. ZULFIQAR ALI KHAN
article en

Abstract

We prove Mapping Inseparability (MI) Theorem. Let observed state be Z = η + ∆,where η is baseline first principle and ∆ is input-driven deviation.The central result is that inseparability is in-built: neither η alone nor ∆ alone candetermine the observed Z. This is not an assumption but a structural property of thedecomposition. Any attempt to represent Z by only η or only ∆ fails.This 2 → 1 unification has history in science. Newton unified two motions intoone law, Einstein unified light and matter, Abdus Salam unified electromagnetic andweak forces. MI provides the general mathematical condition for when such unificationis necessary — when baseline and deviation must co-exist. Numerical test confirmsZ = η + ∆ with error 2.3 × 10−16.

Zenodo (CERN European Organization for Nuclear Research)
Openalex Percentile: Top 7%
Advanced Mathematical Theories
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