arXiv subjects

Giovanni Romano

Publications and source records attributed to Giovanni Romano.

5 recordsLinked to original sources

arXiv2025

Fundamental Topics in Continuum Mechanics: Grand Ideas, Errors & Horrors

Shortly after the middle of the past century, a comprehensive presentation of Continuum Mechanics was written under supervision of Clifford Ambrose Truesdell III in two volumes of Siegfried Fluegge's Handbuch der Physik, a first in 1960 with Richard Toupin on The Classical Field Theories (the monster), including an Appendix on Tensor Analysis by Jerald LaVerne Ericksen, and a second volume in 1965 with Walter Noll on The Non-Linear Field Theories of Mechanics (the monsterino). Both nicknames are due to Truesdell. These contributions were gradually taken as turning points by the Mechanics Community worldwide, due to completeness of analysis and profoundness of documentation. Vastness of treatment acted however as a shield to careful reasoning on delicate but basilar notions which, in the wake of some scholars of the XIX century, were taken to be worthy of belief and incorporated in the presentation with a valuable historical background. Lack of engineering perspective didn't favour the necessary caution to be taken in facing a number of issues. Scholars in Continuum Mechanics, fascinated by the monumental work conceived and carried out by Truesdell and associates, did not dare any accurate revision. The analysis is here centred on unsatisfactory formulations presently disseminated in literature by followers of such authoritative treatment as Truesdell's opus magnum. The geometric approach in 4D Euclid spacetime adopted here is self-proposing even in classical context and provides clarity of notions, methods and results not achievable by the more familiar but less powerful and prone to confusing 3D treatment.

physics.class-ph↗

arXiv2022

Superconducting routing platform for large-scale integration of quantum technologies

To reach large-scale quantum computing, three-dimensional integration of scalable qubit arrays and their control electronics in multi-chip assemblies is promising. Within these assemblies, the use of superconducting interconnections, as routing layers, offers interesting perspective in terms of (1) thermal management to protect the qubits from control electronics self-heating, (2) passive device performance with significant increase of quality factors and (3) density rise of low and high frequency signals thanks to minimal dispersion. We report on the fabrication, using 200 mm silicon wafer technologies, of a multi-layer routing platform designed for the hybridization of spin qubit and control electronics chips. A routing level couples the qubits and the control circuits through one layer of Al0.995Cu0.005 and superconducting layers of TiN, Nb or NbN, connected between them by W-based vias. Wafer-level parametric tests at 300 K validate the yield of these technologies and low temperature electrical measurements in cryostat are used to extract the superconducting properties of the routing layers. Preliminary low temperature radio-frequency characterizations of superconducting passive elements, embedded in these routing levels, are presented.

cond-mat.mes-hall↗

arXiv2021

Electrodynamics without Lorentz force

This communication is devoted to a brief historical framework and to a comprehensive critical discussion concerning foundational issues of Electrodynamics. Attention is especially focused on the events which, about the end of XIX century, led to the notion of Lorentz force, still today ubiquitous in literature on Electrodynamics. Is this a noteworthy instance of a rule which, generated by an improper simplification of Maxwell-JJ Thomson formulation, is in fact physically untenable but, this notwithstanding, highly successful. Modelling of electromagnetic fields and fluxes in spacetime respectively as even and odd spatial differential forms and the formulation of induction laws by means of exterior and Lie derivatives, make their covariance manifest under any smooth spacetime transformations, contrary to the usual affirmation in literature which confines this property to relativistic frame-changes. A remarkable consequence is that there is no entanglement between electric and magnetic fields and fluxes under special relativity transformations. In particular, relativistic support to Lorentz force rule is thus deactivated. For translational motions of charged bodies immersed in a uniform and constant magnetic field, the induced electric field in such a frame, is equal to one half the Lorentz force term. The qualitative successful application of the Lorentz force rule to experimental evidence of special observers is therefore explained.

physics.gen-ph↗

arXiv2012

On the Laws of Electromagnetic Induction

The Faraday-Ampere laws of electro-magnetic induction are formulated in terms of plain and twisted differential forms, taking in due account the body motion in terms of Lie time-derivatives. Covariance of Lie derivatives with respect to arbitrary relative motions, and Galilei invariance of the electro-magnetic fields, imply Galilei invariance of the induction laws, contrary to most claims in literature. A noteworthy outcome of the theory is the conclusion that the so called Lorentz force on a charged particle is not an additional law of electromagnetism, but rather, when corrected by a factor one-half, a contribution to the electric field evaluated, according to Faraday law, by an observer testing a translating charged body crossing a region of uniform magnetic field. The formulation of the laws of electromagnetism in the four dimensional classical space-time, by stating the observer-dependent splitting for bodies in motions, provides a proof of Galilei invariance of all the electric and magnetic fields involved in the analysis.

math-ph↗

arXiv2011

On natural derivatives and the curvature formula in fibre bundles

In a fibre bundle, natural derivatives of a section are defined as tangent vector fields on the image of a section of the fibre bundle. A local extension to vector fields in the tangent bundle leads to a direct proof of the formula expressing the curvature of a connection in terms of covariant derivatives. The result is based on a tensoriality argument and extends to nonlinear connections on fibre bundles a well-known formula for linear connections on vector bundles.

math.DG↗