AbstractThe century-old wave-particle duality posits that quantum objects are either Matter orWave, with transition governed by probability P = |ψ|2. Here we disprove probability asfundamental.We report discovery of a third state of nature, ZMI (Zulfia Mass-Information)State, defined by M I = η + I where η is direction-generated mass and I is information.We show quantum processes are not probabilistic but informational domain transfersgoverned by feasibility Q.Using Python lab-equivalent simulation, validated as table-top STM analogue, wedemonstrate universal triad Matter → Wave → ZMI. Quantum tunnelling is firstexample: Before tunnelling = Wave with Born rule; After Q > 0, W → ZM I withMaf ter = Mbef ore + η. This Maf ter > Mbef ore is smoking gun of ZMI.This establishes W → ZM I as unavoidable, replacing Born probability with Q =Tinto ZM I . Discovery redefines tunnelling from transmission to factory of mass-information.
AbstractThe century-old wave-particle duality posits that quantum objects are either Matter orWave, with transition governed by probability P = |ψ|2. Here we disprove probability asfundamental.We report discovery of a third state of nature, ZMI (Zulfia Mass-Information)State, defined by M I = η + I where η is direction-generated mass and I is information.We show quantum processes are not probabilistic but informational domain transfersgoverned by feasibility Q.Using Python lab-equivalent simulation, validated as table-top STM analogue, wedemonstrate universal triad Matter → Wave → ZMI. Quantum tunnelling is firstexample: Before tunnelling = Wave with Born rule; After Q > 0, W → ZM I withMaf ter = Mbef ore + η. This Maf ter > Mbef ore is smoking gun of ZMI.This establishes W → ZM I as unavoidable, replacing Born probability with Q =Tinto ZM I . Discovery redefines tunnelling from transmission to factory of mass-information.
AbstractQuantum Mechanics lacks a constructive origin. We resolve this by introducingSapna Space S and the STAR (κ, η, D) Framework.Within S, quantum processes are not probabilistic. They are domain transfersgoverned by the Law of Feasibility:TST AR(κ, η, D) = f (κ) · g(η) · h(D) (1)The key prediction is the Zulfia Mass-Information Shift:∆D := min − mout (2)∆D is the first measurable quantity that converts mass into information. It providesa direct, falsifiable signature of STAR.We propose two table-top tests of ∆D and show that QM and GR are recoveredas limits of S. This work replaces probability with feasibility as the foundation ofquantum mechanics.
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
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.
For more than a century since Schr¨odinger, the quantum wave equation has been as-sumed to hold on a fully accessible domain Ω without certified origin. No extension in theavailable literature has revisited its foundational probability assumption.We replace this assumption with a deviation origin. Using Zulfia Decomposition inProbability (ZDM) Z(t) = MZ [η(t0)] + ∆(t) within Zulfia Bi-Face Probability Theory(ZBPT) [1], the information field after collision is restricted to deviation domain Ω \ ΩC =∆−1(̸= 0) where ∆(t)̸ = 0 where PZ does not exist and C(ω) = 0, with certified domainΩC = ∆−1(0) excluded where ∆(t) = 0.iℏZ CZ (ω) ∂∆(t)∂t = − ℏ2Z2mZ∇ · (CZ (ω)∇∆(t)) + VZ (ω)∆(t) on Ω \ ΩC (1)The conventional equationiℏ∂tψ = − ℏ22m ∇2ψ + V ψ (2)is the special case for Ω \ ΩC ≈ Ω, CZ = 1.After Collision is strictly informational, mass-free on Ω \ ΩC .
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.
AbstractWe show inexistence of classical wave-particle duality. We propose Entangled NatureTheory with three natures:Z1 = Particle (Probabilistic, Entangled),Z2 = Wave (Probabilistic, Entangled),Z3 = FORCE (Deterministic, Prediction State).Two natures are entangled: if one exists, other is inexistence. Three natures areNOT entangled. Force is the deterministic boss in Prediction State that controls trans-formation via mass of information η. We prove P ∩ W = ∅ and P ∪ W = f (Z3). Thisopens new area of research: Wave-Particle-Force with 1 deterministic in Prediction State+ 2 probabilistic entangled natures.