OPEN KNOWLEDGE / 12 FIELDS

Physics to understand.

Educational encyclopedia in the areas of the laboratory: from tensor geometry to QEI and quantum fields on a curved background. Terms, formulas, prerequisites, tasks and open sources.

The portal's Wikipedia is its own educational section, not an official Wikimedia project. The main educational texts of this version are in Russian; original sources are available in RU, EN and DE.

01Advanced

General relativity

Gravity as geometry: from the metric tensor and geodesics to Einstein's equations and horizons.

Explore the area →
02Research

Semiclassical gravity

The classical metric interacts with the quantum average of the energy-momentum tensor.

Explore the area →
03Research

QFT in curved spacetime

Quantum fields on non-stationary backgrounds: vacuum, particles, Hadamard state and anomalies.

Explore the area →
04Research

Quantum energy inequalities

Negative energy is locally permissible, but its duration and averaging are limited by quantum theory.

Explore the area →
05Research

Wormholes and quasi-black holes

Neck, flare-out, causality and necessary sources in idealized geometries.

Explore the area →
06Advanced

Numerical relativity

Spacetime evolution, constraints, gauge selection, and convergence testing.

Explore the area →
07Research

Spacetime topology

Global structure of the manifold, causal restrictions and the difference between topology and local curvature.

Explore the area →
08Advanced

Einstein–Maxwell theory

Self-consistent interaction of gravitational and electromagnetic fields.

Explore the area →
09Basic → advanced

Quantum mechanics

States, operators, measurement and dynamics are the foundation for quantum field theory.

Explore the area →
10Advanced

Compact-object astrophysics

White dwarfs, neutron stars, black holes and observed accretion.

Explore the area →
11Advanced

Cosmology

Expansion of the Universe, FLRW metric, cosmological distances and observational limitations.

Explore the area →
12Basic → advanced

Mathematical tools

Tensors, manifolds, differential forms and variational principles for physics.

Explore the area →

RECOMMENDED PATH

From basics to exploration

  1. Mathematics and quantum mechanics. Master vectors, operators, forms, and variational principles.
  2. General relativity and electrodynamics. Learn to work with metrics, curvature and physical units.
  3. QTP on the background and QEI. Review states, renormalization, and conditions of theorems.
  4. Models and verification. Check residuals and convergence; separate hypothesis from observation.