Theoretical study reveals quantum tunnelling as permanent gap-space residence rather than barrier crossing, suggesting particle, wave, and information identities are unified.
In our V1 [2] work, we established the Hybrid Gap Effect G(x) = Gc −αZ(x). In this paper V2 we present a discovery beyond this effect: the gap isnot to be crossed, it is the residence itself.We define the Zulfia Decomposition Mapping (ZDM), [1] as:Z = n + ∆, where ∆ ≡ GZulfiawhere n is direction / deviation — an observational illusion — while ∆ is theprimitive magnitude, the Gap-Space.We propose the Law of Zulfia Trility as the fundamental law of exis-tence:ZMicro ≡ GZulfia ≡ ZMacro ≡ ZThis is the Trility: Particle ∼ Wave ∼ Information, where ZMicro isParticle, GZulfia is Wave (Gap-Space residence), and ZMacro is Information.This law establishes that all three are identical manifestations of a singlesource Z. There is no transformation, only identity.As direct consequence, we prove No Tunnelling, No Deviation: e− ∈GZulfia =⇒ e− ∈ Z. The electron never tunnels; it permanently resides inGZulfia. What was observed in Bell-type experiments at x0 where G(x0) = 0as tunnelling is reinterpreted as direct permanent residence at x0 within itsown Gap-Space. No barrier crossing occurred.
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DR. ZULFIQAR ALI KHAN (2026) studied this question.
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