Why there is no concept of "const-correctness" for class's static member functions?

Use case:

class A {
   static int s_common;
 public:
   static int getCommon () const { s_common; };
 };
 

Typically this results in an error as:

error: static member function 'static int A::getCommon()' cannot have
cv-qualifier

This is because constness applies only to the object pointed by this, which is not present in a static member function.

However had it been allowed, the static member function's "const"ness could have been easily related to the static data members.

Why this feature is not present in C++; any logical reason behind it ?

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