Articles

Scientific explorations of spirals and convergence phenomena in mathematics, physics, biology, astronomy, computer science and complex systems.

8 articles · Physics

Physics
Physics
22–30 min

From Filament to Point: Quantum Vortices Across 3D, 2D, and Topological Singularity

What becomes of a quantum vortex when moving from a three-dimensional world, where it is a filament or ring, to a quasi-2D system, where it appears as a simple point? This reduction reveals the essential topological structure of the phenomenon and opens onto the collective physics of BKT pairs, clusters, and 2D quantum turbulence.

Jun 27, 2026Read →
Physics
Physics
18–24 min

Vortices and Cyclones: When a Fluid Starts to Spin

A vortex is not a spiral drawn in air or water, but a rotating flow field. The visible trajectories depend on pressure, viscosity, conservation of angular momentum and the scale of the phenomenon.

Jun 15, 2026Read →
Physics
Physics
17–23 min

Circular Polarization: A Field Rotation in a Wave

In a circularly polarized wave, the electric field rotates as the wave propagates. The tip of the vector traces a circle at a fixed point and a helix when space is represented at a given instant.

Jun 4, 2026Read →
Physics
Physics
20–27 min

Quantum Spin: A Rotation Without a Spinning Ball

Spin is the intrinsic angular momentum of quantum particles. A spin-1/2 electron must complete two full rotations to return to its initial state — a property with no classical analogue.

Apr 8, 2026Read →
Physics
Physics
18–24 min

Quantum Vortices: When Circulation Becomes Discrete

In type-II superconductors, the magnetic field penetrates as quantum vortices — flux tubes surrounded by circular currents. Each vortex carries exactly one flux quantum.

Apr 4, 2026Read →
Physics
Physics
15–20 min

Gyroscopes and Precession: From Cones to Dissipative Spirals

A spinning gyroscope resists changes in orientation. Under gravity, its axis describes a conical precession. With dissipation, this precession becomes a converging spiral.

Mar 30, 2026Read →
Physics
Physics
16–22 min

Tornadoes: Concentrating Rotation in a Storm

A tornado is a rapidly rotating column of air. Conservation of angular momentum, pressure gradient and the Coriolis force combine to concentrate rotation in a narrow column.

Mar 26, 2026Read →
Physics
Physics
17–23 min

Molecular Chirality: When the Mirror Changes the Chemistry

Chirality is the property of an object not being superimposable on its mirror image. Natural amino acids are almost all left-handed. This asymmetry manifests in the helical structure of DNA and in the efficacy of chiral drugs.

Mar 22, 2026Read →