Geometry and quantum interference

Edoardo Ballico, Bernardi, Alessandra, Iacopo Carusotto +2 more

Vladimir V. Kassandrov

We generalize the formerly proposed relationship between a special complex geometry (originating from the structure of biquaternion algebra) and induced real geometry of (extended) space-time. The primordial dynamics in complex space allows for a new realization of the "one electron Universe" of Wheeler-Feynman (the so called "ensemble of duplicons") and leads to a radical concept of "dimerous" (consisting of two identical matter pre-elements, "duplicons") electron. Using this concept, together with an additional phase-like invariant (arising from the complex pre-geometry), we manage to give a visual classical explanation for quantum interference phenomena and, in particular, for the canonical two-slit experiment. Fundamental relativistic condition of quantum interference generalizing the de Broglie relationship is obtained, and an experimentally verifiable distinction in predictions of quantum theory and presented algebrodynamical scheme is established.

Supradeep Narayana, Yuki Sato

We report the observation of superfluid quantum interference in a compact, large-area matter-wave interferometer consisting of a multiple-turn interfering path in reciprocal geometry. Utilizing the Sagnac effect from Earth's rotation in conjunction with a phase shifter made of superfluid heat current, we demonstrate that such a scheme can be extended for sensitive rotation sensing as well as for general interferometry.

James Thomas Wheeler

Andrey Polkovnikov

This work presents a geometric–topological field model in which the affine connection is treated as the sole fundamental dynamical variable, while metric structure, matter, and effective particle dynamics emerge as secondary descriptions. Matter is interpreted as localized, topologically nontrivial configurations of the connection field. A central prediction of the model is that quantum interference is sensitive to geometric complexity, leading to a geometry-dependent suppression of interference visibility and a geometry-induced phase accumulation. These effects are investigated in the context of atom interferometry, with particular emphasis on Mach–Zehnder and large-momentum-transfer (LMT) configurations. Interference fringes are analyzed to extract visibility, and an exponential suppression law as a function of geometric complexity is observed. Statistical robustness is assessed using bootstrap resampling, yielding a strictly positive suppression coefficient. In addition to visibility loss, a geometry-dependent linear phase accumulation is identified, with different rates for simple and complex interferometer geometries. The results suggest that quantum coherence can be interpreted as an emergent manifestation of underlying geometric constraints, and that atom interferometry provides a direct experimental probe of such geometric effects. The presented framework yields clear, falsifiable interferometric signatures that can be tested with existing experimental platforms.

Ricardo Alejandro Troncoso Perez, Cristian Andres Martinez Silva