Einstein -"Ok, where are my gloves...."
This is an absolutely brilliant question, and
Maschke has brought to light very clearly the dynamics of it.
If the OP was simply asking if there is something that is out there that wasn't yet described by mathematics so that they could be the first to do so, then we rearrange the question to find out another way.
Is there a possible physical system that mathematics has proven inapplicable?
That could better help in finding an answer to the search.
Now if the OP was using a more philosophical approach, then the question implies the existence of a relationship.
I'm single BTW
Existence proof. Many interesting and important theorems have the form ∃xP(x), that is, that there exists an object x satisfying some formula P.
Suppose U is a universe which is appropriate for Mathematics. To prove the statement,
there is a function f such that f′=f,
f(x)=e^x works (as does any constant multiple of e^x).
Hilbert's Nullstellensatz, from a philosophical point of view, is interesting, as it implies the existence of a well specified object.
If
are polynomials in
n indeterminates with complex coefficients, which have no common complex zeros, then there are polynomial
such that
When it was introduced, non-constructive existence theorem was such a surprise for mathematicians that Paul Gordan wrote: "this is not mathematics, it is theology"
I would say that no physical system can exist that could not be explained by way or some form of mathematics.
Whether such math or physical system exists today involves the variable of time.
"sometimes the answer is... no today and yes tomorrow"