Relativity, quanta, and the strange edges.

Modern Physics

Modern physics breaks the classical picture: time bends with motion, particles behave like waves, and observation alters reality.

SignatureE = mc²

Chapter outline

Lessons in this chapter

Short, focused lessons. Each one ends with a worked example and a quick quiz.

Key concepts at a glance

The essential ideas, paired with their equations.

Mass–Energy Equivalence

01
E = mc²

Mass and energy are interchangeable — a tiny mass holds enormous energy.

Time Dilation

02
Δt' = γ·Δt

Moving clocks tick slower as seen from a stationary frame.

Schrödinger Equation

03
iℏ ∂ψ/∂t = Ĥψ

The wavefunction's evolution — quantum mechanics' equation of motion.

Uncertainty Principle

04
Δx·Δp ≥ ℏ/2

Position and momentum can't both be known exactly.

Photoelectric Effect

05
E = h·f

Light delivers energy in discrete quanta — Einstein's 1905 insight.

Entanglement

06

Quantum particles share correlations stronger than any classical signal allows.

Frequently asked

What is quantum mechanics?+

The physics of the very small — where energy comes in discrete packets and particles behave probabilistically.

Is time travel possible?+

Relativity allows forward time travel via high-speed motion or strong gravity; backward travel remains speculative.

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