The Spacetime Metric

Courses

Go deep on one idea, or climb the whole path.

Five drill-downs take a single idea from a picture anyone can hold to the research frontier. The 36-course path climbs six levels, from first principles to research preparation.

One idea · six levels · one page

Concept drill-downs

Measured physics

The Josephson Junction: where quantum phase becomes an engineering variable

A thin gap between two superconductors lets a current flow with no voltage, turns a voltage into a perfectly tuned oscillator, and defines the volt. It is also the building block of the 'gaser' and of every superconducting quantum computer.

Novice to research · about 6 hours →

Measured physics

The Vector Potential: the field behind the fields

From a flow map anyone can picture, to the Aharonov–Bohm effect, to the phase-controlled matter beam Charles Chase calls the secret sauce.

Novice to research · about 6 hours →

Active research

The Metric Tensor and Warp Bubbles: how spacetime is measured, and how it might be shaped

Every ruler and every clock in the universe reads from one rulebook: the metric. General relativity says matter and energy rewrite that rulebook, and every test agrees. A warp bubble is a page of the rulebook nobody has written into reality yet — and a research programme is now trying.

Novice to research · about 6 hours →

Measured physics

Quantum Phase and Coherence: the variable behind lasers, superconductors and the matter-wave beam

Phase is only where a wave's crest is right now. Get enough waves to agree on it and you get a laser, a superconductor, a condensate — and the beam Charles Chase is trying to build.

Novice to research · about 6 hours →

Measured physics

The Zero-Point Field and the Casimir Effect: how empty space pushes

Pump out every atom, cool the walls, shut out the light — and two mirrors in the box are still pushed together. The formula contains no property of the metal at all. This is the measurement the whole field is built on.

Novice to research · about 6 hours →

36 courses · six levels

The six-level path

  1. Level 1 · Foundations

    Approximately grades 8–9

    Build physical intuition, scientific vocabulary, and the habit of separating observations from explanations.

  2. Level 2 · Secondary physics

    Approximately grades 10–12

    Use algebra, graphs, conservation laws, and laboratory reasoning to explain classical and modern physics.

  3. Level 3 · Undergraduate core

    First- and second-year university

    Develop the mathematical language needed to derive results rather than only consume analogies.

  4. Level 4 · Advanced undergraduate

    Third- and fourth-year university

    Connect relativity, field theory, condensed matter, plasma, and nuclear physics to real measurements.

  5. Level 5 · Graduate study

    Master’s and early doctoral level

    Read technical papers, reproduce key derivations, and compare standard theory with alternative research programs.

  6. Level 6 · Research preparation

    Doctoral and independent-research pathway

    Turn extraordinary proposals into calculations, falsifiable experiments, preregistered analyses, and reproducible evidence.

Established foundationsMeasured physicsActive researchContested interpretationSpeculative proposal

← The learning map, by topic