Classification of Different Analogies in Mathematical Physics
A framework for categorizing analogies between physical systems — from intuitive connections to full mathematical dualities.
Physics
Gravitational Aquarium
The cosmos lives within everyday moments — observing an aquarium at METU and drawing parallels to gravitational physics.
Fluctuation-Dissipation Theorem
From Einstein’s 1905 Brownian motion to quantum vacuum fluctuations and the Lindblad equation.
Dispersion as a Consequence of Discrete Space-Time
How dispersion emerges naturally from a granular spacetime model — deriving dispersion relations from coupled oscillators on a lattice.
On the Origins of Time and Gravitation — A Thought Experiment
A thought experiment on the origins of time and gravitation, inspired by the stone waterfalls at METU.
Quantum Circuit Notation (QCN) — A Hilbert Space Approach to Classical Circuit Theory
Proposing QCN as a novel framework for classical circuit analysis inspired by quantum mechanics and Dirac’s bra-ket notation.
Time Lord Victorious
On the immutability of time — from Minkowski spacetime to black holes, with a detour through Doctor Who.
Group Theory in Physics
On the role of symmetry and group theory as the mathematical language of modern physics.
TARDIS — Time and Relative Dimensions in Space
Is it possible to manipulate dimensions? Examining the TARDIS through the lens of mathematical physics.
William Rowan Hamilton — Forgotten Genius
The story of William Rowan Hamilton — an alcoholic poet who invented quaternions on a bridge in Dublin.