Hering's law of equal innervation
Idea that the eyes move in parallel because their muscles are equally innervated
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Through Nerve
Hering's law of equal innervation is best understood with Johannes Peter Müller's stimulus where an observer refoveates a point that moved in one eye only. The least-effort way to refoveate is to move the misaligned eye only. Instead Hering's law predicts that because both eyes must move by equal amounts, a combination of conjunctive and disjunctive eye movements is required to refoveate the target point. Yarbus showed experimentally that binocular eyes movements are indeed composed mostly of combinations of saccades and vergence. However, it is now known that clear deviations from Hering's law also occur.
This theory is in contrast to the theory proposed by Hermann von Helmholtz which states that conjugacy is a learned, coordinated response and that the movements of the eyes are individually controlled. Helmholtz's point of view is today often caricatured as a chameleon-like, independent, control of the eyes although Helmholtz never defended that theory. Their disagreement concerned the innate vs. learned aspect of binocularly coordinated eye movements. Helmholtz's arguments were mainly related to Listing's law and can be simplified as the fact that there exist positions of the eyes where muscles will have different effects on the two eyes. Thus Hering's law, in its original formulation, simply cannot be correct as it would lead to situations where the eyes would move by different amounts, something on which both agreed never happens. Hering subsequently modified his law to state that the eyes behave as if they received equal innervation.
The extent to which Hering's law is correct, or not, remains in debate today, as the exact physiological underpinnings of vergence eye movements remain to be found.

