Lagrangian Playground

Interactive tools and guided courses for exploring the fundamental physics of our universe.

The path

Ten courses · seven chapters each · foundations to the open edge

Primer

A gentle on-ramp – Curious mode only
0
Physics PrimerCurious onlyNo prerequisites

Seven chapters of pure on-ramp – measuring and units, equations and graphs, then position, velocity, acceleration and force, so the classical course lands softly.

Not startedStart

Foundations

Where the physics begins
I
Classical MechanicsStart here

Seven chapters that build the physics the quantum course breaks – forces and motion, energy and its landscapes, oscillations, waves, orbits, and the principle of least action that gives this playground its name.

Not startedStart

Core theories

Built directly on classical mechanics
II
Quantum MechanicsBuilds on Classical Mechanics

Seven chapters that build the theory from the ground up – why classical physics broke down, matter waves, the wavefunction and the Born rule, the Schrödinger equation, spin, and the structure of atoms.

Not startedStart
III
Special RelativityBuilds on Classical Mechanics

Seven chapters that reunite space and time – inertial frames, the stubborn constancy of light, time dilation and length contraction, the spacetime interval, E = mc², and the crack (gravity) that forces the next theory.

Not startedStart

The bridge

Quantum mechanics meets special relativity
V
Relativistic Quantum MechanicsBuilds on Quantum Mechanics + Special Relativity

Seven chapters that force quantum mechanics and special relativity into one equation – and watch spin, g = 2 and antimatter fall out uninvited, until the one-particle picture destroys itself and demands fields.

Coming soon

The pinnacles

The two summits before the open edge
IV
General RelativityBuilds on Special Relativity

Seven chapters that turn gravity into geometry – the equivalence principle, curved time, geodesics, Einstein's equation, black holes, gravitational waves, and Mercury's missing 43 arcseconds, finally paid.

Coming soon
VI
Quantum Field TheoryBuilds on Relativistic Quantum Mechanics

Seven chapters from the wreckage of the one-particle picture to the diagrams this site is named for – fields as nature's true variables, particles as their quanta, the restless vacuum, QED's twelve-digit triumph, and the infinity gravity refuses to pay.

Coming soon

The open edge

Unfinished physics
VII
Quantum GravityBuilds on General Relativity + Quantum Field Theory

Seven chapters up the last ridge, where both towers of this catalogue meet – the Planck scale, black holes that glow and remember, entropy written on the horizon, information's great escape, and an honest map of a summit nobody has reached.

Coming soon

Branch lines

Built on the core – where the theories meet the rest of the universe
+
Particle PhysicsBuilds on Quantum Field Theory

Seven chapters from the particle flood to the Standard Model – the zoo nobody ordered, quarks and the eightfold way, forces born from symmetry, the Higgs, and the honest cracks in the best-tested theory in history.

Coming soon
+
CosmologyBuilds on General Relativity

Seven chapters from Hubble's line to the Planck wall – the stretching of space, the first three minutes, the afterglow and its ripples, the dark ledger, and the missing first frame.

Coming soon

Deep dives

One idea, one pageView all 7 deep dives
Quantum8 min read
Quantum Mechanical Tunnelling
How particles slip through barriers they classically could never cross.
Referenced in Quantum MechanicsRead ›
QuantumComing soon
Entanglement & Bell's Theorem
Two particles share one wavefunction, and their answers stay correlated in a way no pre-agreed story can match. Bell proved it – experiment agreed.
Referenced in Quantum Mechanics
QuantumComing soon
The Uncertainty Principle
The blur is not clumsiness – it is what being a wave means. How the position–momentum trade-off sets the size of atoms and keeps matter from collapsing.
Referenced in Quantum Mechanics

Interactive tools

What is this? · About the project →

Lagrangian Playground

Interactive tools and guided courses for exploring the fundamental physics of our universe.

The path

Ten courses · seven chapters each · foundations to the open edge

Primer

A gentle on-ramp – Curious mode only
0
Physics PrimerCurious onlyNo prerequisites

Seven chapters of pure on-ramp – measuring and units, equations and graphs, then position, velocity, acceleration and force, so the classical course lands softly.

Not startedStart

Foundations

Where the physics begins
I
Classical MechanicsStart here

Seven chapters that build the physics the quantum course breaks – forces and motion, energy and its landscapes, oscillations, waves, orbits, and the principle of least action that gives this playground its name.

Not startedStart

Core theories

Built directly on classical mechanics
II
Quantum MechanicsBuilds on Classical Mechanics

Seven chapters that build the theory from the ground up – why classical physics broke down, matter waves, the wavefunction and the Born rule, the Schrödinger equation, spin, and the structure of atoms.

Not startedStart
III
Special RelativityBuilds on Classical Mechanics

Seven chapters that reunite space and time – inertial frames, the stubborn constancy of light, time dilation and length contraction, the spacetime interval, E = mc², and the crack (gravity) that forces the next theory.

Not startedStart

The bridge

Quantum mechanics meets special relativity
V
Relativistic Quantum MechanicsBuilds on Quantum Mechanics + Special Relativity

Seven chapters that force quantum mechanics and special relativity into one equation – and watch spin, g = 2 and antimatter fall out uninvited, until the one-particle picture destroys itself and demands fields.

Coming soon

The pinnacles

The two summits before the open edge
IV
General RelativityBuilds on Special Relativity

Seven chapters that turn gravity into geometry – the equivalence principle, curved time, geodesics, Einstein's equation, black holes, gravitational waves, and Mercury's missing 43 arcseconds, finally paid.

Coming soon
VI
Quantum Field TheoryBuilds on Relativistic Quantum Mechanics

Seven chapters from the wreckage of the one-particle picture to the diagrams this site is named for – fields as nature's true variables, particles as their quanta, the restless vacuum, QED's twelve-digit triumph, and the infinity gravity refuses to pay.

Coming soon

The open edge

Unfinished physics
VII
Quantum GravityBuilds on General Relativity + Quantum Field Theory

Seven chapters up the last ridge, where both towers of this catalogue meet – the Planck scale, black holes that glow and remember, entropy written on the horizon, information's great escape, and an honest map of a summit nobody has reached.

Coming soon

Branch lines

Built on the core – where the theories meet the rest of the universe
+
Particle PhysicsBuilds on Quantum Field Theory

Seven chapters from the particle flood to the Standard Model – the zoo nobody ordered, quarks and the eightfold way, forces born from symmetry, the Higgs, and the honest cracks in the best-tested theory in history.

Coming soon
+
CosmologyBuilds on General Relativity

Seven chapters from Hubble's line to the Planck wall – the stretching of space, the first three minutes, the afterglow and its ripples, the dark ledger, and the missing first frame.

Coming soon

Deep dives

One idea, one pageView all 7 deep dives
Quantum8 min read
Quantum Mechanical Tunnelling
How particles slip through barriers they classically could never cross.
Referenced in Quantum MechanicsRead ›
QuantumComing soon
Entanglement & Bell's Theorem
Two particles share one wavefunction, and their answers stay correlated in a way no pre-agreed story can match. Bell proved it – experiment agreed.
Referenced in Quantum Mechanics
QuantumComing soon
The Uncertainty Principle
The blur is not clumsiness – it is what being a wave means. How the position–momentum trade-off sets the size of atoms and keeps matter from collapsing.
Referenced in Quantum Mechanics

Interactive tools

What is this? · About the project →