Not Even a Complete Theory

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Let us examine fundamental principles of physics.
  1. Physics is an experimental science, and the validity of any physical theory is supported by the fit of its predictions to data that belong to its domain of validity.
  2. An experimental datum is verified if the state of a measurement device changes in time. This change of the measurement device reflects the time-evolution of the system that is observed by the experiment.
  3. A physical theory provides a description of the time-evolution of a system by means of time-dependent differential equations. Solutions of these equations describe specific cases. Here are important examples:
    1. Maxwell equations. Solutions of these equations predicted the electromagnetic radiation.
    2. The Lorentz law of force. Electric engines are constructed on the basis of this law.
    3. Einstein equations of general relativity. Solutions of these equations show the bent of light rays that pass near a massive body and the Schwarzschild radius, which is related to a black hole.
    4. The Dirac equation. Solutions of this equation explain the electron's g-factor, and predicted the existence of the positron.
  4. The Standard Model's sector of the weak interaction is called the electroweak theory. Unlike the above mentioned successful examples, textbooks that discuss the electroweak theory do not show an explicit form of its differential equations. No physical textbook provides a reason for this grave omission. A fortiori, no solution of these equations is reported, and no fit to relevant data is shown.
Conclusion: About 50 years have elapsed since the construction of the electroweak theory but this theory still misses a vital element.