Scientific Essays
Structured essays in mathematics and physics
This section features scientific essays in mathematics and physics — structured like papers, yet written with an educational and exploratory spirit.
They aim to present theories, models, and historical insights with rigor and clarity, offering perspectives that go beyond standard instruction.
🌀 The Structure of the Lorenz Attractor
A geometric and topological overview of the Lorenz attractor, based on the formal 1979 model by R. F. Williams. Includes a full animation of 50 diverging trajectories generated with Manim.
📚 Galileo and Parabolic Motion
This master’s thesis explores the historical and didactic role of mathematical proof in physics,
with a focus on Galileo’s demonstration of parabolic motion.
Developed within the European project IDENTITIES, it reflects on the interplay between mathematics, physics, and education — both conceptually and historically.
Key topics include:
- The evolution of the idea of proof from antiquity to modern science
- The role of mathematical reasoning in physics teaching
- Epistemological reflections and interdisciplinary didactics
- A teaching module and a qualitative study on pre-service teacher awareness
📘 Free direct download:
Download the thesis on Galileo →
🌌 Blackbody Radiation and the Quantum Revolution
From infrared glow to the ultraviolet catastrophe: how a mathematical crisis in thermal radiation theory led to the birth of quantum mechanics.
This article retraces the journey from Kirchhoff’s cavity to Planck’s hypothesis of energy quanta.
Key topics include:
- Historical evolution of blackbody radiation studies
- Mathematical formulation of spectral energy density
- Wien’s displacement law and Stefan–Boltzmann law
- Planck’s revolutionary quantization of energy