Explore the Foundations

Master the theories that shape modern physics

General Relativity

Explore Einstein's geometric theory of gravitation

Spacetime Curvature
Einstein Field Equations
Black Holes
Gravitational Waves
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Quantum Field Theory

Dive into the quantum nature of fields and particles

Gauge Theories
Feynman Diagrams
Renormalization
Standard Model
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Unification

The quest to merge gravity with quantum mechanics

String Theory
Loop Quantum Gravity
Symmetries
Beyond Standard Model
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Bridge Two Worlds

General Relativity

Einstein's geometric description of gravity as curved spacetime.

$$R_{\mu\nu} - \frac{1}{2}Rg_{\mu\nu} = 8\pi G T_{\mu\nu}$$
  • Spacetime tells matter how to move
  • Matter tells spacetime how to curve
  • Classical, deterministic, continuous

Quantum Field Theory

The quantum framework unifying particles and forces.

$$\mathcal{L} = \bar{\psi}(i\gamma^\mu D_\mu - m)\psi - \frac{1}{4}F_{\mu\nu}F^{\mu\nu}$$
  • Particles as excitations of fields
  • Forces emerge from gauge symmetries
  • Probabilistic, discrete, quantized

The Great Challenge

How do we reconcile the smooth geometry of general relativity with the discrete quantum jumps of field theory? This is one of the deepest questions in theoretical physics—and the journey to answer it is just beginning.