
String theory is a theoretical framework in physics where point-like particles are replaced by one-dimensional strings.String theory is a model in which elementary particles are represented not as points, but as one-dimensional objects—strings. Different modes of string vibration correspond to each known particle: quarks, electrons, and even the hypothetical graviton. For internal consistency, the theory requires additional dimensions: superstrings exist in 10-dimensional spacetime. These dimensions are compactified (curled up) to scales of the Planck length—about 10⁻³⁵ m, which is why we do not observe them. There are variants: bosonic string, supersymmetric strings, and M-theory with membranes.
In 1968, Gabriele Veneziano discovered that Euler's beta function describes the scattering amplitude of mesons. This led to the dual resonance model, which Yoichiro Nambu, Holger Nielsen, and Leonard Susskind interpreted as a quantum theory of relativistic strings. In the 1970s, the bosonic string suffered from tachyons, but the addition of supersymmetry and fermions led to superstring theory (John Schwarz, Michael Green). In 1984–86, the 'first superstring revolution' showed that 10-dimensional superstrings are free of anomalies and can incorporate the Standard Model. The mid-1990s—the 'second superstring revolution'—revealed dualities and a unifying M-theory (Edward Witten).
The string action generalizes the action of a point relativistic particle: instead of a worldline—a worldsheet (two-dimensional surface) in spacetime. The quantum behavior of the string leads to the requirement of a conformal field theory on the worldsheet. The mass spectrum is discrete, and for a closed string, the massless spin-2 excitation corresponds to the graviton, automatically incorporating gravity. Interactions are described by Feynman diagrams, but with the topology of worldsheets—without ultraviolet divergences, yielding a finite quantum theory of gravity. Upon compactification, the extra dimensions determine the set of massless fields and symmetry groups of the effective theory. The superposition principle applies to string states.
There are no direct applications yet, but the mathematical apparatus of string theory is used for studying black holes and quantum entanglement, and in the future may become the basis of a unified 'theory of everything'.
If a string were the size of an atom, then the atom itself would have a diameter spanning an entire galaxy.
| f_cut | variable | Cutoff frequency for string formation — frequency hertz |
| T | variable | Temperature of the system — temperature kelvin |
| G | variable | Newton's gravitational constant — gravitational constant cubic metre per kilogram per second squared |
| μ | variable | String tension (mass per unit length) — string tension kilogram per metre |














