What is Quantum Tunnelling: The Framework of Zulfia Mapping Z = η + ∆ : η meets ∆ (1973 Observable Magic Tunnelling to 2026 Information Tunnelling)
AbstractThis work re-examines the 1973 concept of quantum tunnelling, historically described asa Magic Tunnelling phenomenon where a particle crosses a barrier without a physicalmechanism. In conventional quantum mechanics, tunnelling is treated as barrier penetrationprobability based on wave leakage, T ∼ e−2kL, without defining what tunnelling is.We introduce a conceptual framework for quantum tunnelling denoted as Z = η + ∆, calledZulfia Mapping. Here η is defined as the discrete, quantal state carrying invariant identityI(η), which cannot travel alone, while ∆ represents the continuous, contextual field of natureand barrier. Wave does not travel alone; it must hold the finger of η.In Z-language, we convert the magic concept into a real concept. Tunnelling is re-definednot as crossing the barrier, but as the formation of a new state Z via η + ∆ → Z, underidentity conservation I(T (η)) = I(η). Thus, the barrier is not an obstacle to be crossed,but a context to meet.Consequently, Z → η1, η2 provides a built-in origin for entanglement, and the observableend-state is defined as the MI Communication State ZM I = ηmessage + ∆channel. This marksthe transition from 1973 Magic Tunnelling to 2026 MI Tunnelling — from magicsafar to MI safari. This formalism provides a foundation for analysing information transferacross physical and natural systems
Authors
- DR. ZULFIQAR ALI KHAN
Publication Details
- Journal
- Zenodo (CERN European Organization for Nuclear Research)
- Published
- 2026-08-25
- DOI
- https://doi.org/10.5281/zenodo.22089664
- Primary Topic
- Quantum Mechanics and Applications
- Type
- article
- Field-Weighted Citation Impact
- 0.00