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

DR. ZULFIQAR ALI KHAN

Published Aug 22, 2026• 0 citations
Publisher

Abstract

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.

DOI
10.5281/zenodo.22054597

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•Dec 30, 2025•0 citations
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.
We present a conceptual and partially formalized framework in which general relativity (GR) and quantum mechanics (QM) are viewed not as competing theories, but as descriptions of different phases of a single causal-informational process. GR describes actualized geometric reality (the space of effects E), while QM describes the emergence of this reality from a pre-geometric domain of potentials (the space of causes C). The key element is a map Φ : C → E that preserves information but breaks time symmetry. For the first time, we propose a rigorous mathematical framework fully verified in the Lean 4 proof assistant, including bridges between spectral dimension, algebraic nuclei, and Čech topological obstructions. This synthesis resolves the measurement problem, the continuum limit problem, and Zeno's paradox, and yields testable predictions for the primordial perturbation spectrum, gravitational wave dispersion, and variation of the fine-structure constant. Published by The Institute for Applied Ontological Mathematics.
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.
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 .
This manuscript develops three concrete, falsifiable predictions based on a framework in which time and space are operationally equivalent, and classical reality is understood as the record. In this scalar-clock / awareness-tensor / Trinity picture, an observation is any physical process that stabilizes correlations into durable, revisitable records, and gravity is interpreted as time decoherence: clock-locking and time selection into dominant mass time-zones. The paper introduces three phenomenological parameters that are exactly zero in standard GR+QM: (i) ϵ\epsilonϵ, the sensitivity of co-located clock rates to engineered decoherence and monitoring strength; (ii) η\etaη, the sensitivity of effective gravitational acceleration to record-export structure at fixed mass distribution; and (iii) a scalar time-mismatch scale ΔT∗\Delta T_\astΔT∗, beyond which interference visibility near a mass exhibits a protocol-dependent threshold. These parameters are tied to operational proxies: clock-locking depth, time mismatch, and coupling gradients. From this framework, three testable predictions follow: Entanglement-dependent time dilation: Two identical, co-located precision clocks in the same gravitational potential but in different record-coupling regimes (high vs. low monitoring and decoherence) should exhibit a small, persistent differential drift that tracks clock-locking depth, not altitude or velocity. Gravity modulation by engineered decoherence: In a torsion balance, atom interferometer, or precision gravimeter, the measured acceleration toward a test mass should differ slightly between “decoherence OFF” and “decoherence ON” conditions, even when the mass distribution and EM fields are unchanged. The key signature is a protocol-locked Δg\Delta gΔg that appears only when scattered quanta are recorded, not when the same fields are present but their outputs are dumped locally. Entanglement horizon near mass: In a matter-wave interferometer, as one arm approaches a mass (or as the mass is increased), interference visibility should drop at a characteristic threshold set by scalar-clock mismatch and record structure. This defines an “entanglement horizon” in time-mismatch space, distinct from smooth environmental decoherence. For each effect, the paper defines explicit null hypotheses, identifies leading systematics, and sketches minimal experimental protocols compatible with current or near-term optical clocks, gravimetry, and matter-wave interferometry platforms. A brief CPT-compatibility analysis clarifies that microscopic dynamics remain CPT-symmetric in the usual QFT sense; any asymmetries arise only at the coarse-grained level of record formation and clock-locking. The proposals can therefore be read either as parameterized extensions of GR+QM using measurement architecture as an additional knob, or as an operational test of a broader “gravity as time decoherence” interpretation in which geometry becomes explicitly record-sensitive. This Version 2 is a revised and expanded update of the original upload, adding a phenomenology-first summary, clarifying the roles of the parameters (ϵ,η,ΔT∗)(\epsilon,\eta,\Delta T_\ast)(ϵ,η,ΔT∗), and situating the framework more explicitly relative to existing work on gravity-related decoherence, hybrid classical–quantum gravity, and clock/interferometry proposals (Diósi–Penrose, Bassi, Anastopoulos–Hu, Oppenheim, Zych–Costa–Pikovski–Brukner, Bose et al.). The updated version explicitly restricts the criterion to record-sensitive effects, rather than any effect. It explicitly spells out what “record formation on/off” means in practice: detectors and logging are turned on/off while the physical fields are held fixed, i.e., outputs are either stored or not stored. This version tightens falsifiability and lab usability. It (i) commits to explicit benchmark model families for the three predictions, each reducing to standard physics when ϵ=η=κ=0\epsilon=\eta=\kappa=0ϵ=η=κ=0; (ii) defines an unambiguous export-axis variable via the exported mutual-information rate I˙XR\dot I_{XR}I˙XR and export depth E\mathcal{E}E, enabling cross-platform comparisons; (iii) adds a fully worked, platform-specific optical lattice clock pilot (C1 vs C2 export-only toggle) including invariance audits, confound/error budgeting, preregistered power/discriminability analysis, and an end-to-end analysis pipeline; and (iv) upgrades mandatory reporting/preregistration templates so null results produce publishable bounds on (ϵ,η,κ)(\epsilon,\eta,\kappa)(ϵ,η,κ).