We propose a hidden U(1) gauge interaction that couples exclusively to quantum coherence in massive systems. The central innovation is a conserved coherence current operator constructed from the Noether mass current via operator-level coarse-graining. This current vanishes for classical matter distributions but is nonzero for spatial superpositions and entangled states, yielding a gauge interaction that is dormant in classical regimes but activated by quantum coherence. The framework predicts three distinctive signatures: (i) interferometric phase shifts scaling linearly with fringe visibility, (ii) decoherence rates with characteristic m^2 scaling and spatial dependence distinct from collapse models, and (iii) entanglement-selective forces between distant massive qubits. The theory maintains full gauge invariance, causality, and positive time evolution. We show that state-of-the-art atom interferometers and levitated nanoparticles can place first constraints on this interaction class, complementary to classical fifth-force searches. This approach provides a novel theoretical framework for probing coherence-selective fundamental interactions and their potential role in the quantum-classical transition. To make this more concrete, we also spell out a simple benchmark latent-field model and work out, in detail, how a representative large-momentum-transfer atom interferometer constrains the corresponding coupling strength.
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We propose a hidden U(1) gauge interaction that couples exclusively to quantum coherence in massive systems. The central innovation is a conserved coherence current operator constructed from the Noether mass current via operator-level coarse-graining. This current vanishes for classical matter distributions but is nonzero for spatial superpositions and entangled states, yielding a gauge interaction that is dormant in classical regimes but activated by quantum coherence. The framework predicts three distinctive signatures: (i) interferometric phase shifts scaling linearly with fringe visibility, (ii) decoherence rates with characteristic m^2 scaling and spatial dependence distinct from collapse models, and (iii) entanglement-selective forces between distant massive qubits. The theory maintains full gauge invariance, causality, and positive time evolution. We show that state-of-the-art atom interferometers and levitated nanoparticles can place first constraints on this interaction class, complementary to classical fifth-force searches. This approach provides a novel theoretical framework for probing coherence-selective fundamental interactions and their potential role in the quantum-classical transition. To make this more concrete, we also spell out a simple benchmark latent-field model and work out, in detail, how a representative large-momentum-transfer atom interferometer constrains the corresponding coupling strength.
The quantum nature of gravity is one of physics' greatest unsolved problems, with existing experimental proposals facing formidable challenges in maintaining spatial superpositions of massive objects against decoherence. We propose a fundamentally different approach that bypasses these difficulties. The central insight is that a quantum gravitational field can imprint a gauge-invariant phase on a particle's wavefunction even along an open trajectory, arising from the quantum backreaction of the source. This phase, which manifests prior to the final recombination stage of an interferometer and cannot be generated by a classical gravitational field, provides an operationally direct witness to the quantumness of gravity. Our experimental design uses a single photon whose accumulated gravitational phase due to the Earth is transferred via absorption to auxiliary atoms near the end of the interferometer sequence, preserving the open-path character essential for the test. We scale the interferometer to yield a detectable phase of order 10−3 rad and show how non-local correlation measurements on the atoms can access this gauge-invariant signature. Leveraging established quantum optical and atomic techniques, this proposal offers a feasible path to distinguish quantum from classical gravity. A positive result would provide the first experimental evidence for the quantum nature of gravitational fields, with profound implications for quantum gravity theories.
We develop a quantum field-theoretic model of gravitationally induced entanglement (GIE) between two massive objects in spatial superposition. The masses are described as excitations of a scalar field in an external harmonic potential, allowing for a well-defined notion of relativistic coherent states. Using linearized quantum gravity in the static limit, we derive an effective Hamiltonian that induces entanglement between the field modes occupied by the masses. To probe this entanglement, we construct an observable from field operators that corresponds to the probability density of detecting the center of mass of one of these massive objects. Using this, we compute the fringe visibility in the overlap region and find that gravitationally induced entanglement leads to a decrease in visibility, consistent with previous nonrelativistic results. Additionally, we identify relativistic corrections that accelerate the decay of fringe visibility. These results provide a framework for studying weakly relativistic quantum field systems and their gravitational interactions in tabletop experiments.
In the pursuit of speculative new particles, forces, and dimensions with vanishingly small influence on normal matter, understanding the ultimate physical limits of experimental sensitivity is essential. Here, I show that quantum decoherence offers a window into otherwise inaccessible realms. There is a standard quantum limit for diffusion that restricts some entanglement-generating phenomena, such as soft collisions with new particle species, from having appreciable classical influence on normal matter. Such phenomena are classically undetectable but can be revealed by the anomalous decoherence they induce on nonclassical superpositions with long-range coherence in phase space. This gives strong, novel motivation for the construction of matter interferometers and other experimental sources of large superpositions, which recently have seen rapid progress. Decoherence is always at least second order in the coupling strength, so such searches are best suited for soft interactions (e.g., small momentum transfers), but not weak ones (i.e., small coupling constants).
Abstract This work presents a unified framework in which all physical fields and measurement outcomes emerge scale-dependently from the internal phase geometry of the Yugen wavefunction. Gauge, gravitational, and matter fields are described as components of a single operator-valued internal phase structure, whose dynamics naturally encode the transition between classical and quantum behavior depending on the observational scale (see Precursor Study A for the treatment of the measurement problem). We further show that interference among internal phase gradients generates suppressed corrections to the effective Hamiltonian. These fourth-order gradient terms, consistent with the internal algebraic structure, can manifest as a new long-range interaction—a “fifth force” arising purely from phase geometry. Building on previous work (Precursor Study B), the framework provides quantitative predictions for atomic isotope shifts and precision spectroscopy experiments, with characteristic frequency deviations on the order of for selected transitions. These results offer experimentally testable signatures connecting the emergence of classicality, quantum behavior, and novel interactions within a single unified internal phase structure.
Abstract We develop and apply the Yugen wavefunction framework, a phase-geometric reformulation of quantum theory in which the vacuum is treated as an active medium with intrinsic stiffness set by the Planck scale. In this approach, physical fields and particles emerge from internal phase geometry rather than from fundamental point-like interactions. By identifying the amplitude of the Yugen wavefunction with the Planck energy, the Planck scale becomes a physical parameter governing vacuum rigidity and nonlinear phase response. We present explicit numerical predictions across atomic, particle, and mesoscopic regimes. In the atomic sector, the framework predicts small but systematic nonlinear deviations in isotope-shift spectroscopy, arising from coherent vacuum phase effects and consistent with recent high-precision datasets. In the neutrino sector, neutrino masses emerge naturally from localized topological phase interference, yielding the observed mass scale without introducing additional heavy fields. We further address the quantum–classical transition by deriving a nonlinear phase-induced decoherence mechanism for macroscopic objects. The resulting mass- and size-dependent decoherence times place mesoscopic systems near the picogram scale at the threshold of sustained quantum superpositions, a regime accessible to current optomechanical experiments. These results suggest that precision spectroscopy, neutrino phenomenology, and mesoscopic quantum tests probe a common underlying phase structure of the vacuum. The Yugen wavefunction thus provides a unified and experimentally falsifiable framework linking quantum fields, particle properties, and the emergence of classicality.
We present Chronon Field Theory (CFT), a covariant framework in which large–scale spacetime geometry—including temporal order and causal structure—emerges from the coarse–grained dynamics of a single future–directed timelike field Φμ(x). Within this approach, both the unit–norm property of Φμ and the Lorentzian signature of gμν are not postulated but arise uniquely from random microscopic chronon dynamics under broad symmetry and locality assumptions. Quantum phenomena are reinterpreted in this geometric setting: double–slit interference results from phase–coherent Φ–threads rather than superposed particle paths, and measurement appears as a boundary–induced alignment of microscopic orientations with the apparatus’s macroscopic field, yielding definite outcomes without collapse or branching. Schrödinger’s cat is then a straightforward macro–micro coupling with no persistent macroscopic superposition, while EPR–type entanglement reflects shared Φ–thread ancestry across spacelike separations. The Born rule follows from the unbiased martingale structure of alignment dynamics and from coarse–graining symmetries, making it an emergent statistical law; the uncertainty principle appears as a statistical bound on chronon fluctuations, with ℏ arising as the variance of coarse–grained action. CFT thus provides a covariant and ontologically economical framework linking spacetime symmetries to quantum measurement, and predicts scale–dependent effects—such as nonlinear decoherence and curvature–sensitive timing shifts—that are open to experimental test.