It's a rule of the language, known as the One Definition Rule. Within a program, each static object (if it's used) must be defined once, and only once.
Class definitions typically go in header files, included in multiple translation units (i.e. from multiple source files). If the static object's declaration in the header were a definition, then you'd end up with multiple definitions, one in each unit that includes the header, which would break the rule. So instead, it's not a definition, and you must provide exactly one definition somewhere else.
In principle, the language could do what it does with inline functions, allowing multiple definitions to be consolidated into a single one. But it doesn't, so we're stuck with this rule.
static const
integral members) as compilers have gotten smarter. If it helps at all, consider them like a globalextern
decl, where somewhere there has to be a definition to fulfill that bill. – WhozCraig