4 papers
Torsion-Induced Quantum Fluctuations in Metric-Affine Gravity using the Stochastic Variational Method
Tomoi Koide, Armin van de Venn
This review paper comprehensively examines the influence of spatial torsion on quantum fluctuations from the perspectives of Metric-Affine Gravity (MAG) and the Stochastic Variatio…
The Gravitational Aspect of Information: The Physical Reality of Asymmetric "Distance"
Tomoi Koide, Armin van de Venn
We show that when a Brownian bridge is physically constrained to satisfy a canonical condition, its time evolution exactly coincides with an m-geodesic on the statistical manifold…
Torsion-Driven Nonlinearity in Spinless Quantum Mechanics
Tomoi Koide, Armin van de Venn
We investigate the previously unexplored quantum dynamics of non-relativistic, spinless particles propagating in curved spaces with torsion. Our findings demonstrate that while tor…
A purely geometrical Aharonov-Bohm effect
Jean-Pierre Gazeau, Tomoi Koide, Romain Murenzi +1
We present an application of the affine covariant integral quantization (ACIQ) (Adv. Oper. Theory, 5, 2020; Adv. Oper. Theory, 7, 2022) to quantum mechanics on the punctured plane.…