Quarks are conserved because physics depends on mathematics. Recall that a logical style of description employing mathematics requires that seeds are conserved. For the same reason, when we shift the description to counting quarks, then quarks must be conserved too. The overall quantity and quality of the quarks in a description cannot change. As a narrative convention, we say that quarks are indestructible. Whenever some compound quarks , and are combined or decomposed, if
then the coefficients of any specific type of quark are related as
And a sum over all types of quarks is constrained as
Quark Coefficients are Integers
To satisfy Anaxagorean narrative conventions, Cantor’s definition of a set, and Pauli’s exclusion principle, we require that every seed Z is perfectly distinct. Therefore seed counts always report a positive integer or zero, not fractions or negative numbers
For the same reason, when we define quarks from seeds, and shift the description to counting quarks, then the coefficient of any quark must always be a non-negative integer as well
The relationships on this page are the logical basis for a variety of conservation laws that are found throughout physics. We often refer back to them. But next we look at how these quark-coefficients are related to quantum numbers.