KOINOT · Physics

Fundamental interactions

Particles do not merely exist; they influence one another through a small set of fundamental interactions.

What to understand

Gravity, electromagnetism, the weak interaction and the strong interaction differ in what they act on, their relative strength, range and physical role.

Fundamental interactions
Fundamental interactions
  • Gravity organizes matter on large scales.
  • Electromagnetism builds atoms, molecules and chemistry.
  • The strong interaction binds quarks and is central to nuclear structure.
  • The weak interaction changes particle types and is essential in radioactive and stellar processes.
In one sentence: A few types of interaction provide the rules by which the basic building blocks can assemble into complex structures.
Understand in more depth

The four fundamental interactions operate on very different scales. Electromagnetism and gravity have long range. The strong interaction is confined to hadronic and nuclear scales, while the weak interaction acts at very short distances. Their strengths cannot be compared by a single number without specifying energy and process.

This is the second layer: more precise than the introductory page, but still without a full derivation.
Minimum formulas
Newtonian limit of gravity: F = G m₁m₂/r².
Coulomb force: F = (1/4πϵ₀) q₁q₂/r².
Gauge structure of the Standard Model: SU(3)C × SU(2)L × U(1)Y.
History of the idea

Newtonian gravity and classical electromagnetism were the first universal interactions to receive mathematical formulations. In the twentieth century, weak and strong interactions were identified through nuclear and particle phenomena. Gauge-field theory later unified electromagnetism and the weak interaction within the electroweak framework.

What remains open

Until recently there was no generally accepted fully satisfactory quantum theory of gravity. CTPA has recently proposed a resolution of this problem without introducing new physical hypotheses: starting from established facts and the physical principles of general relativity, the external gravitational field of high-energy virtual intermediate states is included. As the total physical energy of the particle system approaches the Planck scale, gravitational time slowing and freezing of local processes produces a physical boundary of order M_P, so loop integrals become finite. This is a result of the CTPA research program and is not yet a mainstream consensus. It also remains open whether all interactions are manifestations of a deeper unified structure.

Where to go next
Particles → the objects on which the interactions act.
Nucleons and nuclei → the strong interaction in composite matter.
Stars and cosmology → gravity at astronomical scales.
Suggested sources
Standard texts on classical field theory, quantum field theory and the Standard Model.
Reviews on general relativity and quantum gravity.
CTPA

CTPA: the quantum-gravity ultraviolet problem

The conventional formulation above treats perturbative quantum gravity as nonrenormalizable. CTPA claims a physical resolution through Planck-scale gravitational self-regularization.

Open CTPA comparison