One fundamental reason is that there is no difference between a pointer to the first element of a dynamically allocated array of T and a pointer to any other T.
Consider a fictitious function that returns the number of elements a pointer points to.
Let's call it "size".
Sounds really nice, right?
If it weren't for the fact that all pointers are created equal:
char* p = new char[10];
size_t ps = size(p+1);  // What?
char a[10] = {0};
size_t as = size(a);     // Hmm...
size_t bs = size(a + 1); // Wut?
char i = 0;
size_t is = size(&i);  // OK?
You could argue that the first should be 9, the second 10, the third 9, and the last 1, but to accomplish this you need to add a "size tag" on every single object.
A char will require 128 bits of storage (because of alignment) on a 64-bit machine. This is sixteen times more than what is necessary.
(Above, the ten-character array a would require at least 168 bytes.)
This may be convenient, but it's also unacceptably expensive.
You could of course envision a version that is only well-defined if the argument really is a pointer to the first element of a dynamic allocation by the default operator new, but this isn't nearly as useful as one might think.