Proofs & Principles
Weekly writing

Where equations meet equilibrium.

A collaborative blog exploring the beauty of pure mathematics, the profound questions of physics, and the logic of economic thought — written weekly for curious minds.

~100 Projected Posts / Year
3 Fields
Questions
Mathematics

The Most Beautiful Equation in Mathematics

e + 1 = 0 connects five of mathematics' most fundamental constants in a single, breathtaking expression. But why does it work — and why should we care?

e + 1 = 0

"The most remarkable formula in mathematics." — Richard Feynman

Chaos Theory: When Simple Rules Produce Unpredictable Worlds

The butterfly effect isn't just poetic — it's mathematical. Edward Lorenz's discovery reshaped our understanding of deterministic yet unpredictable systems.

Physics

Infinite Routes, One Destination: How Light Chooses Its Path in Quantum Mechanics

Thomas Young's double-slit experiment revealed light's strange dual nature. But the deeper question — why light seems to explore every possible path before arriving — leads us straight into Feynman's path integral and the heart of quantum mechanics.

"Light doesn't take one path — it takes every path, and the ones that interfere constructively are the ones we see."

— Richard Feynman

Wave
Particle
Both?

Why Nothing Can Travel Faster Than Light

Einstein's special relativity doesn't just describe the universe — it redefines the nature of space and time. A look at the logic that makes c the ultimate speed limit.

Economics
UK Economic Snapshot — March 2026
3.75%
BoE Base Rate
Decision: 19 Mar 2026
3.0%
CPI Inflation (Jan 2026)
Target: 2.0% ↓
1.0%
GDP Growth 2026 (forecast)
BCC estimate

Inflation: Why Prices Rise, and Who Really Pays the Price

Inflation redistributes wealth in ways most people never notice. Unpacking the quantity theory of money, Phillips curves, and the distributional politics hiding inside central bank decisions.

"Inflation is taxation without legislation."

— Milton Friedman

Demand
Supply
Money

The minds behind Proofs & Principles.

We're two sixth-form students with a shared conviction that the most interesting ideas live at the edges of disciplines — where physics informs mathematics, where maths merges into economics, and where all three demand rigorous thinking.

This blog is our space to think out loud. Each week we write about a concept, proof, paradox, or idea that has caught our attention — not to lecture, but to understand.

Between us, our curiosity spans number theory and real analysis, quantum mechanics and relativity, behavioural economics and political economy.

— Rojas Bhandari & Nikhil Pillai