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PhysicsTopic Knowledge Hub

Physics & Fundamental Laws

How humans discovered and understood physical reality: electricity, gravity, atoms, electrons, electromagnetism, and quantum mechanics.

13 Published Explainers
48 Systems Analyzed
123 Core Concepts
3 Inquiry Path
Recommended Starting Point

How Humans Discovered Electricity

From rubbed amber and lightning jars to twitching frog muscles, Volta’s chemical pile, and Faraday’s moving magnets

Core Question Answered
“How did humans figure out that a static spark from cat fur, a bolt of lightning, a battery chemical reaction, and magnetism are all the exact same physical force?”
Triboelectric Charge SeparationElectrostatic Capacitance (Leyden Jar)Franklin's Conservation of Electrical ChargeGalvanic Potential & Electrochemical Cells
Read Explainer

Inquiry Learning Paths

Structured sequences designed to take you from a familiar question to complete first-principles understanding.

All Learning Paths
Physics & Infrastructure · 6 Core Steps

How Electricity Powers Modern Civilization

Trace electrical energy from first-principles charge and Faraday induction to utility steam turbines, 400 kV step-up transformers, continental frequency balance, and industrial induction motors.

Full Path Map
Starting Question

“How do moving electrons in a power station turbine travel hundreds of kilometers without melting the transmission wires—and stay locked to 50 or 60 Hz across an entire continent?”

Prerequisites:Electric Charge, Voltage Potential & Direct vs. Alternating CurrentConservation of Energy & Electrical Power (P = V · I)Magnetic Fields & Electromagnetic Force
1

How Humans Discovered Electricity

Establishes what electric charge, voltage potential, and continuous current actually are—from static triboelectricity to Alessandro Volta’s first electrochemical pile.

2

How Electromagnetism Unifies Nature

Reveals the physical bridge between electricity and magnetism: Oersted’s current-generated magnetic fields, Faraday’s law of induction (E = -N dΦ/dt), and Maxwell’s equations.

3

How Steam Turbines and Generators Produce Electricity

Shows how Rankine thermal cycles spin a magnetized rotor inside copper stator windings to induce three-phase alternating current at utility scale.

4

How Electrical Transformers Step Voltage Up and Down

Explains why long-distance transmission requires stepping voltage up to 400–765 kV via mutual induction inside laminated silicon-steel cores to defeat resistive I²R heating.

5

How the Electrical Grid Maintains Frequency Balance

Traces how thousands of generators act as a single electromagnetically locked rotor where any load-generation mismatch immediately shifts grid frequency away from 50/60 Hz.

6

How Electric Motors Work

Completes the circuit at the point of use—showing how three-phase rotating magnetic fields and Lorentz forces convert grid electricity back into mechanical torque.

Endpoint:You can trace a single watt of electrical power from the thermodynamic steam cycle and Faraday flux induction inside a generator, through 400 kV step-up substation transformers and continental 50/60 Hz inertia control loops, down to the rotating magnetic field of an induction motor.
Computing & Silicon Architecture · 8 Core Steps

How Computers Execute and Store Information

Progress from quantum band gaps in doped silicon to CMOS logic gates, binary adders, pipelined CPU instruction execution, coherent SRAM caches, and operating system kernels.

Full Path Map
Starting Question

“How does purified quartz sand doped with boron and phosphorus become a microprocessor capable of executing billions of arithmetic instructions and running an operating system every second?”

Prerequisites:Positional Place-Value Notation & Base-2 Binary NumbersElectrical Voltage Thresholds & Capacitive Charge StoragePiezoelectric Quartz Harmonic Oscillation
1

How Semiconductors and Transistors Actually Work

Explains how doping silicon crystals creates p-n junctions and voltage-controlled MOSFET switches with zero moving parts.

2

How Binary and Logic Gates Became Computation

Shows how Claude Shannon mapped George Boole’s symbolic logic onto physical on/off switches (AND, OR, NOT, XOR) to represent numbers and decisions.

3

How CMOS Transistors Form Logic Gates

Details how complementary PMOS pull-up and NMOS pull-down transistor networks implement logic gates with near-zero static power dissipation.

4

How Binary Arithmetic Logic Units Actually Add Numbers

Combines XOR and AND gates into half-adders, full-adders, and carry-lookahead circuits that perform binary addition, subtraction, and comparisons in picoseconds.

5

How a CPU Executes an Instruction

Steps through the Fetch–Decode–Execute–Writeback pipeline, register files, branch prediction, and out-of-order execution inside a modern processor core.

6

How CPU Cache Hierarchies Overcome the Memory Wall

Explains why main DRAM is hundreds of times slower than the ALU—and how L1/L2/L3 SRAM caches and MESI coherence protocols prevent processor stalls.

7

How an Operating System Actually Runs Software

Reaches the software abstraction layer: how the OS kernel uses hardware timer interrupts, virtual-memory page tables, and system calls to multiplex applications safely.

8

How Compilers Translate Human Code into Machine Instructions

Completes the journey from human thought to silicon execution: how compilers lex, parse, optimize via SSA form, and allocate hardware registers to emit native machine code.

Endpoint:You understand the entire computing stack without black boxes: how electric fields in doped silicon form CMOS logic gates, how gates compose into a clocked ALU and pipelined CPU with coherent SRAM caches, and how an operating system kernel schedules virtual-memory processes on top of that hardware.
Networks & Telecommunications · 7 Core Steps

How the Internet Carries Information Around the World

Follow a network request across every physical and protocol layer: BGP autonomous systems, IP packet hops, submarine optical amplifiers, 802.11 Wi-Fi radio modulation, Anycast DNS, and TLS cryptography.

Full Path Map
Starting Question

“When you tap a link or type a web address on your phone, how do your request packets travel through air as radio waves and across ocean floors as laser pulses to fetch a webpage in milliseconds?”

Prerequisites:Binary Bitstreams & Packet Header EncapsulationElectromagnetic Spectrum (Microwave Radio vs. 1550 nm Infrared Light)Modular Arithmetic & One-Way Trapdoor Functions
1

How the Internet Actually Works

Introduces the global network of networks: 115,000+ independent Autonomous Systems exchanging reachability paths via BGP-4 and forwarding 1,500-byte packets without central control.

2

How Packets Actually Travel Across the Internet

Follows an individual packet hop-by-hop: TCP segmentation, IPv4/IPv6 TTL decrementing, longest-prefix-match TCAM lookups, and dynamic rerouting around severed links.

3

How Fiber-Optic Cables Carry Light Across Oceans

Descends to the ocean floor where 99% of intercontinental traffic travels as 1550 nm infrared laser light through silica fibers amplified every 70 km by erbium-doped optical repeaters (EDFAs).

4

How Wi-Fi Actually Works

Explains the wireless last hop: how your router maps digital bits onto 2.4/5/6 GHz QAM radio subcarriers (OFDMA) and coordinates airtime via CSMA/CA collision avoidance.

5

How Cellular Networks Route Calls and Data

Extends wireless routing to mobile wide-area telecommunications: microsecond base station MAC scheduling, RRC connection handshakes, seamless inter-tower handovers, and GTP tunnels across LTE and 5G cores.

6

What Happens When You Type a Website Address

Connects packet transport to the application layer: hierarchical Anycast DNS resolution, the TCP three-way handshake, TLS 1.3 key exchange, and browser DOM rendering.

7

How Public-Key Cryptography Actually Works

Explains the mathematical miracle behind HTTPS and TLS: how two computers that have never met establish an encrypted channel over public fiber using Diffie-Hellman and elliptic-curve cryptography.

Endpoint:You can trace a web request across every physical and protocol layer—from a capacitive finger tap and 802.11 QAM radio waves, through Anycast DNS, BGP autonomous systems, and erbium-doped submarine fiber-optic repeaters, to a TLS 1.3 elliptic-curve handshake.

All Published Explainers

Every verified first-principles analysis in this domain.

Explainer

How Humans Discovered Electricity

From rubbed amber and lightning jars to twitching frog muscles, Volta’s chemical pile, and Faraday’s moving magnets

First-Principles ExplainerRead
Explainer

How Newton's Laws Govern Motion

From Galileo's inclined planes and the principle of inertia to F = ma, conservation of momentum, and action-reaction pairs

First-Principles ExplainerRead
Explainer

How Electromagnetism Unifies Nature

From Ørsted's compass deflection and Faraday's lines of force to Maxwell's four equations and the wave nature of light

First-Principles ExplainerRead
Explainer

How Thermodynamics Dictates the Arrow of Time

From steam engines and Carnot's efficiency limit to Clausius' entropy, Boltzmann's microstates, and the irreversible universe

First-Principles ExplainerRead
Explainer

How Quantum Mechanics Redefined Reality

From the ultraviolet catastrophe and Planck's quanta to wave-particle duality, Heisenberg's uncertainty, and the Schrödinger equation

First-Principles ExplainerRead
Explainer

How Semiconductors and Transistors Actually Work

From silicon crystal lattices and P-N junctions to the quantum bandgap, MOSFET gate fields, and solid-state switching

First-Principles ExplainerRead
Explainer

How Special Relativity Warps Space and Time

The speed of light invariance, the Lorentz factor, time dilation, length contraction, the relativity of simultaneity, and mass-energy equivalence

First-Principles ExplainerRead
Explainer

How Do Lasers Generate Coherent, Monochromatic Light?

Stimulated emission, population inversion, optical resonators, and quantum phase coherence from ruby rods to semiconductor diodes.

First-Principles ExplainerRead
Explainer

How Did We Discover the Electron?

Cathode rays, J.J. Thomson's crossed-field deflection, the charge-to-mass ratio, and Millikan's oil drop proof of subatomic reality

First-Principles ExplainerRead
Explainer

How We Discovered That Atoms Actually Exist

From Daltonian stoichiometry and Boltzmann's kinetic despair to Einstein's Brownian motion and Jean Perrin's colloidal proof

First-Principles ExplainerRead
Explainer

How Nuclear Reactors Maintain and Control a Fission Chain Reaction

From induced Uranium-235 fission and neutron thermalization to delayed neutron kinetics, reactivity feedback coefficients, and steady-state criticality

First-Principles ExplainerRead
Explainer

How Superconductors Expel Magnetic Fields and Levitate

From zero electrical resistance and Cooper pairs to the Meissner effect, London penetration depth, and quantum flux pinning

First-Principles ExplainerRead
Explainer

How General Relativity Warps Spacetime and Bends Light

From the equivalence principle and metric tensor curvature to gravitational lensing and spacetime geodesics

First-Principles ExplainerRead

Technical Systems & Protocols Analyzed

Hardware, protocol switches, and central clearing houses examined in this hub.

The 18th-Century Electrostatic Demonstration SystemThe Voltaic Chemical Battery ArchitectureThe Faraday Dynamo and Induction Coil GridModern Alternating Current Generation & TransmissionInertial Coordinate Frame of ReferenceDynamic Force-Acceleration Feedback SystemIsolated Closed Collision SystemMaxwellian Coupled Electromagnetic Field SystemElectromagnetic Induction Generator InfrastructureContinuous Wave Propagation ManifoldCarnot Cyclic Thermodynamic EngineIsolated Adiabatic Entropy Progression SystemStatistical Phase Space Microstate LatticeBlackbody Cavity Radiation ResonatorQuantized Atomic Orbital State MachineWavefunction Superposition & Collapse ManifoldSolid-State Electronic Switching InfrastructureComplementary Metal-Oxide-Semiconductor (CMOS) LogicSemiconductor Photolithography & Planar ManufacturingInertial Reference Frame Transformation Coordinate SystemMichelson Optical Interferometer ArrayAtmospheric Muon Cosmic Ray Decay Detection PipelineRelativistic Particle Accelerator Mass-Energy SystemFabry-Pérot Optical Resonant CavityMaiman Synthetic Ruby Laser (1960)Helium-Neon (He-Ne) Gas LaserNeodymium-Doped Yttrium Aluminum Garnet (Nd:YAG) LaserDouble Heterostructure Semiconductor Laser DiodeHigh-Vacuum Cathode Ray Tube SpectrometerCrossed Electrostatic & Electromagnetic Deflection ChamberMillikan Oil Drop Terminal Velocity ChamberHigh-Voltage Induction Coil (Ruhmkorff Coil)Colloidal Mastic Suspension ManifoldThermal Kinetic Fluctuation ReservoirUltra-Microscopic Depth Stage & Camera LucidaReactor Core Pressure Vessel & Uranium Dioxide Fuel CladdingPrimary Coolant & Neutron Moderation CircuitControl Rod Drive Mechanism & Soluble Boric Acid Shim SystemPressurizer, Steam Generator & Secondary Rankine Power LoopCrystalline Ion Lattice & Conduction Electron SeaMacroscopic Quantum Condensate Ground StateScreening Supercurrent Surface LayerAbrikosov Hexagonal Vortex LatticeJosephson Tunneling Weak LinkEinstein Field Equations (1915)Schwarzschild Geometry & Static Spherically Symmetric MetricEddington 1919 Solar Eclipse Expedition (Sobral & Principe)Modern Astrophysical Gravitational Lenses & Black Hole Event Horizons (EHT M87* / Sgr A*)
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