Newton’s Third Law of Motion states:

“For every action, there is an equal and opposite reaction.”

This law can be expressed mathematically as:

F_{action} = -F_{reaction}

It means that for every force exerted by one object on another, there is a force of equal magnitude but in the opposite direction exerted by the second object on the first.

In the context of Homoeopathy, Newton’s Third Law is metaphorically related to the principle of similia similibus curentur, which means “like cures like.” This principle suggests that a substance that causes symptoms in a healthy person can be used to treat similar symptoms in a sick person. The relation between Newton’s Third Law and Homoeopathy lies in the concept of mutual action. In the 18th century, the mechanistic concept of the universe dominated scientific thought, and the same laws that apply to the universe were also considered to apply to Homoeopathy. Thus, the action of a homoeopathic remedy (the substance causing similar symptoms) and the reaction it elicits in the body (healing response) are seen as equal and opposite, aligning with Newton’s law of mutual action.

It’s important to note that this is a metaphorical relation and not a direct scientific correlation. The application of Newton’s Third Law in Homoeopathy is more philosophical and symbolic, reflecting the holistic and individualized approach of this alternative medicine system.