activity
20192025
most citedGeometry, Zitterbewegung, Quantization

10 citations · 21 across the 7 of their papers we have counts for

collaborators

7 papers

math-ph2025★ 1 cited

Madelung Structure of the Dirac Equation

Luca Fabbri

We consider the Dirac equations in polar form proving that they can equivalently be re-configured into a system of equations consisting of derivatives of the velocity density plus…

gr-qc2024★ 2 cited

Classical characters of spinor fields in torsion gravity

Luca Fabbri

We consider the problem of having relativistic quantum mechanics re-formulated with hydrodynamic variables, and specifically the problem of deriving the Mathisson-Papapetrou-Dixon…

hep-th2024

Unraveling the Physical Meaning Behind Elko's Dual structure

Gabriel Brandão de Gracia, Rodolfo José Bueno Rogerio, Luca Fabbri

In this work, we shall analyze the necessity of a proper definition of the dual structure for Elko spinors, and singular spinors in general. We examine in detail why the Dirac dual…

math-ph2024★ 1 cited

Geometry of spinors: doubly-chiral plane-wave expansion

Luca Fabbri

We employ the polar re-formulation of spinor fields to see in a new light their classification into regular and singular spinors, these last also called flag-dipoles, further split…

physics.gen-ph2024★ 1 cited

Dirac field, van der Waals gas, Weyssenhoff fluid, Newton particle

Luca Fabbri

We consider the Dirac field in polar formulation, showing that when torsion is taken in effective approximation the theory has the thermodynamic properties of a van der Waals gas,…

quant-ph2023★ 6 cited

Dirac hydrodynamics in 19 forms

Luca Fabbri

We consider the relativistic spinor field theory re-formulated in polar variables so to allow for the interpretation given in terms of fluid variables. After that the dynamics of s…

physics.gen-ph2019★ 10 cited

Geometry, Zitterbewegung, Quantization

Luca Fabbri

In the most general geometric background, we study Dirac spinor fields with particular emphasis given to the explicit form of their gauge momentum and the way in which this can be…