Why is there no equation for the strong force?

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SUMMARY

The strong force, unlike the other three fundamental forces, lacks a simple equation due to the complexity of color charge interactions. While there are multiple equations that describe aspects of the strong force, they are not practical for isolated color charges or as functions of distance. Additionally, similar limitations apply to the weak interaction, which also cannot be easily quantified. Classical formulas such as F=GMm/r² and their electromagnetic equivalents fail at high velocities, further complicating the formulation of a unified equation for the strong force.

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  • Understanding of quantum chromodynamics (QCD)
  • Familiarity with fundamental forces in physics
  • Knowledge of classical mechanics and relativistic effects
  • Basic concepts of particle physics and color charge
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  • Explore the limitations of classical mechanics in high-speed scenarios
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Physicists, students of particle physics, and anyone interested in the complexities of fundamental forces and their mathematical representations.

Vitani11
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We can quantify the three other forces but not this one. Why?
 
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We can. It's just complicated and not terribly useful in that form.
 
There are many equations. If you are looking for an equation for forces as function of distance, that doesn't work so easily, as you cannot have isolated color charges.

The weak interaction cannot be expressed in such a way either.

The classical formulas of F=GMm/r2 and its electromagnetic equivalent don't work if you go to fast speeds, for example.
 

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