DR. ZULFIQAR ALI KHAN

Zulfia Ziwave Equation (ZZE): Wave Generation on Certified Domains under ZBPT Framework

The classical wave equation assumes wave existence over the entire samplespace Ω. In this paper, we introduce the Zulfia Ziwave Equation (ZZE) basedon Zulfia Bi-Face Probability Theory (ZBPT). In ZBPT, probability is notassumed on full sample spaces but is generated only on certi...

Theory of Relectron: The End of 100 Years Confusion — Electron Duality Exists Only in Bound State

For 100 years physics taught electron is both particle and wave. This theory provesit false. Duality exists only in bound state. We coin Relectron:• Reflection + Electron = RelectronUpon collision or ejection, duality fails and bound electron converts to Relectron.What photoelect...

Quantum Tunnelling is Information Event (Zmicro ≡ Gzulfia ≡ Zmacro) Discovery Beyond Hybrid Gap Effect

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 ∆ ≡ GZulfiawher...

Quantum Tunnelling is Information Event (Zmicro ≡ Gzulfia ≡ Zmacro) Discovery Beyond Hybrid Gap Effect

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 ∆ ≡ GZulfiawher...

Entanglement is Gap-Space Identity G(x) = Gc − αZ(x) Z1 ≡ Z2 ≡ Gzulfia

Classical entanglement is an illusion arising from the assumption of non-localityand spooky action at a distance. In classical interpretation, two distant particlesappear to communicate instantaneously, violating locality.Within the GZulfia framework, we reinterpret entanglement...

Entanglement is Gap-Space Identity G(x) = Gc − αZ(x) Z1 ≡ Z2 ≡ Gzulfia

Classical entanglement is an illusion arising from the assumption of non-localityand spooky action at a distance. In classical interpretation, two distant particlesappear to communicate instantaneously, violating locality.Within the GZulfia framework, we reinterpret entanglement...

Hybrid Gap Effect: A Space-Dependent Timespace Emission Model More Work With Less Energy G(x) = Gc − αZ(x)

The conventional band gap Gc is assumed to be spatially uniform. In this work, wepropose the Hybrid Gap Effect, a novel phenomenon where the band gap becomes space-dependent due to Timespace Emission Z(x).We formulate the effect as:G(x) = Gc − αZ(x) (1)Where Z(x) is the localized...

Hybrid Gap Effect: A Space-Dependent Timespace Emission Model More Work With Less Energy G(x) = Gc − αZ(x)

The conventional band gap Gc is assumed to be spatially uniform. In this work, wepropose the Hybrid Gap Effect, a novel phenomenon where the band gap becomes space-dependent due to Timespace Emission Z(x).We formulate the effect as:G(x) = Gc − αZ(x) (1)Where Z(x) is the localized...

Failure of GPS and Rise of ZPS: M⁰ Based n-Navigation for Everywhere, Anywhere

GPS is η-based navigation requiring 4 satellites and 38μs/day relativistic cor-rection. It fails indoor, underwater, tunnel, and in non-Earth η. We introduceZPS - Zulfia Positioning System based on Zeroth Move M 0 ≡ ∆0 and Zulfia FieldZ(x, u) = η(x) + M (x, u). We prove M 0 =⇒ η...

Unification of All Physical Forces: Gravity, EM, Weak and Strong as a Single Zulfia Arithmetic Force Field ∆⁰

The unification of the four fundamental forces — gravity, electromagnetism,the weak force, and the strong force — has been the central unsolved problem oftheoretical physics for over one century, and the history is a history of beautifulfailures.The only previous unification was...

Zulfia Geometry: Curvature as Emergence from the Arithmetic Force

Classical geometry postulates a metric tensor gμν from which curvature is derived. This paperposes a foundational question: where does curvature originate when no metric is assumed?We answer within Zulfia Theory (ZT), founded on the Zulfia Decomposition MappingZ(x, u) = η(x, u) +...

Zulfia Geometry: Curvature as Emergence from the Arithmetic Force

Classical geometry postulates a metric tensor gμν from which curvature is derived. This paperposes a foundational question: where does curvature originate when no metric is assumed?We answer within Zulfia Theory (ZT), founded on the Zulfia Decomposition MappingZ(x, u) = η(x, u) +...

The Zulfia Structural Inequality: Origin, Derivation, and Fundamental Properties

We introduce the Zulfia Structural Inequality (ZSI) as a generalized first-orderstructural law governing directional behavior. Starting from classical first-ordervariation, we replace fixed directions with structured mappings and derive the in-equality as a consistency condition...

Concept, Mechanism and Stable State of Unsaturated Constant in Physical Chemistry

AbstractFor many centuries, only the saturated constant (Cs) is known in the literature ofphysical chemistry. The concept of unsaturated constant (Cu) remained unidenti-fied.This paper introduces the distinction. A constant C is saturated (Cs) when itscapacity is zero, and unsatu...

Zulfia Theory of Equilibrium: Two-Component Necessity and the Failure of Solo Equilibrium

AbstractClassical equilibrium theory has treated equilibrium as a property of a singleobjective, a single field, or a single player’s optimal response. This paper identifiesa fundamental gap: equilibrium cannot be reached by a single componentacting alone. Just as a single hand c...

Concept, Mechanism and Stable State of Unsaturated Constant in Physical Chemistry

AbstractFor many centuries, only the saturated constant (Cs) is known in the literature ofphysical chemistry. The concept of unsaturated constant (Cu) remained unidenti-fied.This paper introduces the distinction. A constant C is saturated (Cs) when itscapacity is zero, and unsatu...

The Zulfia Mass-Information Shift: Feasibility Foundations of Quantum Mechanics

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)...

Discovery of ZMI State: Third State of Nature Beyond Matter and Wave

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, def...

Laws of the Statistical Universe: Gravitational Forces of the Data World

AbstractThe physical universe has had its laws since Newton (1687). The statisticaluniverse — the universe of data, observations, and inference in which every scientificmeasurement operates — has had none. Every statistical method has been a tool. Noone has established the founda...

The Zulfiqar Conservation Law: A 3-Edge Geometric Framework Containing Newtonian Mechanics and General Relativity as Special Cases

AbstractWe introduce the Zulfiqar Conservation Law : for any physical or mathematical systemadmitting a 3-edge blade representation, the quantity| ˜Z|2 = δ2 + D2 + ω2 = Cis conserved, where δ is the deviation edge (distance from equilibrium), D is the dual edge(directional gradie...