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Mass-Phase Interferometer (MPI): Probing the Internal Phase Structure of Mass

Jincheng Zhang

Published Aug 11, 2026• 0 citations
Publisher

Abstract

This paper introduces the theoretical foundation of the Mass-Phase Interferometer (MPI), a novel conceptual framework designed to investigate whether mass possesses a hidden internal phase structure. Conventionally treated as a real-valued scalar parameter across classical and quantum mechanics, mass is hypothesized here as a complex quantity expressed as m = |m| exp(i * phi_m). By utilizing coherent superpositions of different mass eigenstates, the MPI aims to detect minute variations and phase differences denoted as Delta(phi_m) across quantum systems. We outline the mathematical formulation of complex mass within modified field equations, describe the operational principles of mass-eigenstate interferometry, and address crucial aspects of quantum coherence and decoherence suppression. Furthermore, we explore the deep theoretical implications of an internal mass phase for particle physics, mass generation mechanisms, and potential solutions to CP violation, establishing a rigorous theoretical pathway for exploring quantum foundations beyond standard paradigms.

DOI
10.5281/zenodo.21885221

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Matter waves, traditionally described by a complex scalar wavefunction ψ(x,t), have long been considered devoid of internal spin degrees of freedom beyond those associated with the constituent particles. In this work we propose a novel theoretical framework that endows the matter wave itself with a hidden spin structure, denoted by S_ψ(k), where k is the wavevector of the excitation. By treating the wavefunction as a composite object that carries an additional internal spinor-like degree of freedom, we derive the consequences for the evolution of ψ, the form of the Hamiltonian, and the observable consequences in interference experiments. A key prediction is that the spin spectrum S_ψ(k) couples to external fields and to the relative phase between interferometer arms, giving rise to measurable phase shifts in large‑mass matter‑wave interferometers. We discuss the mathematical structure of S_ψ(k), its transformation properties under rotations, and its role in the conservation of a generalized spin current. The experimental implications are explored in the context of current large‑mass interferometers using molecules and nanoparticles. We argue that the detection of S_ψ(k) would constitute the discovery of a new quantum degree of freedom, with profound implications for quantum foundations and for the design of quantum technologies that exploit matter‑wave spin.
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