The Zulfia Equation (Z = η + ∆): Replacing Wave-Particle Duality with Information-Faced Tunneling

AbstractWave-particle duality has long been treated as an intrinsic property of quantumsystems. This paper proposes a correction to this interpretation. We argue thatduality is not an ontological property of the system itself, but a consequence of themeasurement context.We introduce the Zulfia Equation as a formal framework:Z = η + ∆ (1)where Z denotes the observed state, η denotes the underlying informational invari-ant, and ∆ denotes its contextual manifestation.Within this framework, particle-like and wave-like behaviors are understood asdifferent manifestations (∆) of the same informational substrate (η). We reinterpretquantum tunneling as a case of Information-Faced Tunneling, where η is conservedwhile ∆ is filtered by the potential barrier, offering a consistent resolution to theduality paradox.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-08-25
DOI
https://doi.org/10.5281/zenodo.22098350
Primary Topic
Quantum Mechanics and Applications
Type
article
Field-Weighted Citation Impact
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article

The Zulfia Equation (Z = η + ∆): Replacing Wave-Particle Duality with Information-Faced Tunneling

DR. ZULFIQAR ALI KHAN
Zenodo (CERN European Organization for Nuclear Research)
Quantum Mechanics and Applications
article

The Zulfia Equation (Z = η + ∆): Replacing Wave-Particle Duality with Information-Faced Tunneling

DR. ZULFIQAR ALI KHAN
article en

Abstract

AbstractWave-particle duality has long been treated as an intrinsic property of quantumsystems. This paper proposes a correction to this interpretation. We argue thatduality is not an ontological property of the system itself, but a consequence of themeasurement context.We introduce the Zulfia Equation as a formal framework:Z = η + ∆ (1)where Z denotes the observed state, η denotes the underlying informational invari-ant, and ∆ denotes its contextual manifestation.Within this framework, particle-like and wave-like behaviors are understood asdifferent manifestations (∆) of the same informational substrate (η). We reinterpretquantum tunneling as a case of Information-Faced Tunneling, where η is conservedwhile ∆ is filtered by the potential barrier, offering a consistent resolution to theduality paradox.

Zenodo (CERN European Organization for Nuclear Research)
Openalex Percentile: Top 12%
Quantum Mechanics and Applications
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