Search arXiv⌕ Search
Home/Archive/arXiv

arXiv · 0811.3681

Some new reflections on Mr. Palomar

Orfeu Bertolami
View original source ↗Read source document ↗Export metadata ↓

Abstract

The character Mr. Palomar, the alter-ego of the Italian author Italo Calvino, appeared for the first time in 1975 on the pages of the "Il Corriere della Sera", and then more or less regularly till its debut as a book in 1983. Through illuminating thoughts and reflections based on observations, for instance, of sea waves, Mr. Palomar discovers that they induce a peaceful and inspirational state of mind that prevents coronary and mental illnesses, and also holds the key to capturing the complexity of the world reducing it into its most elementary mechanisms. In this contribution I will survey some of Mr. Palomar's thoughts while he observes the sky and speculate on others that he might have explored if he shared our contemporary knowledge of the cosmos. I will also discuss the thoughts of other authors on how, cosmological thinking affects the human condition.

Explore related subjects

physics.pop-ph

Keep this discovery

Explore connections, maps & timelines

BibTeXRIS

Orfeu Bertolami. 2008-11-22. Some new reflections on Mr. Palomar. https://arxiv.org/abs/0811.3681

Cite the original work for its findings. Save a collection to share your selection of sources.

KEEP EXPLORING

Related papers

arXiv2026

Mass in the Light of Special Relativity

The text analyzes the concept of mass within Special Relativity, initially deconstructing the interpretation of Einstein's equation ($\varepsilon_\circ = m c^2$) as a principle of equivalence. Based on the adoption of the conservation laws of momentum and energy, the non-additivity of mass in composite systems is established. While in atomic and nuclear systems the total mass is less than the sum of its constituents, in the subnuclear domain the opposite occurs: the positive potential energy of confinement of quarks causes the mass of a hadron to be greater than the sum of the masses of its quarks; in the case of nucleons, it is much greater. It is concluded, then, that the mass of baryonic matter in the observable Universe comes, for the most part, from the energy associated with strong interactions.

physics.pop-ph↗
arXiv2026

Understanding Quaternions and the Dirac Belt Trick

The Dirac belt trick is often employed in physics classrooms to show that a $2π$ rotation is not topologically equivalent to the absence of rotation whereas a $4π$ rotation is, mirroring a key property of quaternions and their isomorphic cousins, spinors. The belt trick can leave the student wondering if a real understanding of quaternions and spinors has been achieved, or if the trick is just an amusing analogy. The goal of this paper is to demystify the belt trick and to show that it implies an underlying \emph{four-dimensional} parameter space for rotations that is simply connected. An investigation into the geometry of this four-dimensional space leads directly to the system of quaternions, and to an interpretation of three-dimensional vectors as the generators of rotations in this larger four-dimensional world. The paper also shows why quaternions are the natural extension of complex numbers to four dimensions. The level of the paper is suitable for undergraduate students of physics.

physics.pop-ph↗
arXiv2026

Project Setu: 3D Multi-Physics Design and Scaled Structural Analysis for a Relativistic Lightsail Architecture

Deep-space exploration beyond the solar system requires eliminating chemical propellant mass penalties to achieve relativistic flight velocities (0.166c at 180 s, reaching the mission target of 0.20c at 227 s). This study presents a 3D multi-physics numerical framework for a 4.0-meter circular lightsail propelled by a 100 GW ground laser array, coupling 3D Maxwell FDTD wave optics, non-linear membrane mechanics, and Stefan-Boltzmann thermal radiation in ANSYS Mechanical APDL and Ansys Lumerical. A four-level grid convergence study establishes numerical independence with an ASME GCI_21 of 0.13%, resolving peak membrane stresses of 530.88 MPa with a 3.77x safety factor against stoichiometric Si3N4 tensile failure. With optical absorption constrained to 10 ppm (A = 1.0 x 10^-5), the steady-state core temperature stabilizes at 923.02 K (0.44% deviation from radiation theory), maintaining a +1,247 K margin below sublimation, while fundamental drumhead modal resonance (7.92 Hz) provides a 7.92x safety buffer against laser jitter. The electrodynamic radiation pressure formulation is cross-verified against published flight telemetry from JAXA IKAROS and NASA LightSail 2 within 0.12% and 2.13%, confirming classical momentum transfer modeling across solar and beamed propulsion regimes.

physics.pop-ph↗