Q-ball Localization as a Physical Mechanism for Quantum Measurement: Microscopic Derivation, Tunneling, Localization Time, and An RFL Interpretation of Quantum Computing

Abstract

The Relative Field Localization (RFL) framework provides a physical mechanism for quantum measurement, in which the wave function is a real field carrying a conserved charge. The squared modulus of the wave function, ∣ψ∣2∣ψ∣2, is identified with a physical charge density j0=2ω∣ψ∣2j0=2ω∣ψ∣2, not merely a probability amplitude. Measurement is the physical process by which this extended charge distribution interacts with its environment and localizes into a Q-ball at a single point. This localization takes a finite time, given by the law τloc=SRL⋅L3⋅m2τloc=SRL⋅L3⋅m2 where LL is the size of the extended state, mm is the particle mass, and SRL=ec/(16αℏ2)=6.2752×1077 s⋅m−3⋅kg−2SRL=ec/(16αℏ2)=6.2752×1077 s⋅m−3⋅kg−2 is a constant derived entirely from fundamental constants (ee, cc, αα, ℏℏ) with zero free parameters. The law is fully Lorentz-covariant and recovers the correct non-relativistic limit. The framework derives the Born rule from charge conservation and jump-diffusion dynamics rather than assuming it as a postulate. It provides a physical explanation for the double-slit experiment: the extended charge distribution splits at the slits, interferes with itself, and localizes at the screen. The theory also explains why the interference pattern disappears when a measurement apparatus is placed at the slits: the apparatus photons interact with the extended charge, exchange energy, and trigger localization before the particle reaches the screen. A central feature of the theory is that localization is driven by energy exchange, not by information or observation. A photon that interacts with the extended charge loses energy ΔEγΔEγ, and the electron gains exactly this energy, satisfying energy conservation: ΔEγ=ΔEeΔEγ=ΔEe. The magnitude of the transfer is set by the characteristic Q-ball scale ℏωCℏωC, with a coupling factor ξ≤1ξ≤1. This physical mechanism requires no observers, no consciousness, and no "information." The theory therefore eliminates these concepts from quantum measurement entirely. The RFL framework is compared quantitatively with existing experimental bounds on collapse models (CSL and GRW). Predictions fall within the currently allowed region and provide specific targets for future experiments, including the L3m2L3m2 scaling of the localization time and the characteristic energy loss in scattered photons. The theory also provides an RFL interpretation of quantum computing. A qubit is a physical charge distribution; the phase of the wave function is the shape of the charge wave; and quantum gates correspond to physical redistributions of charge. The framework predicts decoherence times for superconducting, trapped-ion, NV-center, and photonic qubits that are consistent with experimental values. The RFL framework makes specific, testable predictions through the spectrum of scattered photons, the L3m2L3m2 law, and localization times across multiple systems. Direct experimental verification is the next step in the development of the theory.