The relative strength or weakness of any force is measured by particle physicists and expressed by a number called coupling constant. There is an important number in physics that link together classical theory, special relativity, and quantum theory. It is the coupling constant of electromagnetism. Although this number is still unexplained, its value is known with great precision, approximately equal to 1/137. It is called alpha () and is usually referred simply as the ‘fine structure constant’ and expressed as ²/ℏ where – is the electric charge of the electron, ℏ is Planck’s constant of action divided by 2, and is the vacuum speed of light. If force is defined as Newton’s 2nd law of motion for all inertial forces then is a dimensionless quantity that is a pure number. Its appearance in quantum field theories for the accurate and precise calculation of perturbative quantum approximations remains unexplained. However, the predictive successes of this coupling constant allow physicists to believe that all other fundamental forces can be described in much the same manner as the coupling constant of the electromagnetic force. http://en.wikipedia.org/wiki/Coupling_constant. By general agreements among particle physicists, the strength of the strong nuclear interaction is given the coupling constant of approximately ~1, while the strength of the weak nuclear interaction is given the coupling constant of approximately ~10¯⁶. The coupling constant of gravity is approximately ~10¯³⁹. http://hyperphysics.phy-astr.gsu.edu...es/couple.html
On the other hand, for thermal forces given by =(²/⁴)Δ/² where Δ=₁₂=(₂-₁)₁ such that ₁=1kelvin and ₂>>₁ if and only if both ₁ and ₂ are rational numbers, the coupling constant is given as ²/⁴ where is the universal gravitational constant, is Boltzmann’s constant, and is the vacuum speed of light. For Δ=1 kelvin and =1 meter, the coupling constant of thermal forces is approximately ~10¯⁹⁰, a magnitude of 51 orders smaller than that of gravity. However, as Δ increases and decreases, the thermal forces more and more approach the strength of the other fundamental forces of nature.


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