What’s the meaning of static variables in an implementation of an interface?

Unfortunately, it has different effects depending on where you use it.

Static Functions:
By default, all functions have a global scope. The static specifier lets you limit the function’s scope to the current file.

Static Local Variables:
When you use the static modifier on a local variable, the function “remembers” its value across invocations. For example, the currentCount variable in the following snippet never gets reset, so instead of storing the count in a variable inside of main(), we can let countByTwo() do the recording for us.

// main.m
#import <Foundation/Foundation.h>

int countByTwo() {
    static int currentCount = 0;
    currentCount += 2;
    return currentCount;
}

int main(int argc, const char * argv[]) {
    @autoreleasepool {
        NSLog(@"%d", countByTwo());    // 2
        NSLog(@"%d", countByTwo());    // 4
        NSLog(@"%d", countByTwo());    // 6
    }
    return 0;
}

This use of the static keyword does not affect the scope of local variables.
Read more about the static keyword.