Obviously there could be something we can't analyze. But it would need to be based on a different structure than atoms, so not some new element or alloy but so

Obviously there could be something we can't analyze. But it would need to be based on a different structure than atoms, so not some new element or alloy but something completely different. Say some hard matter based on some condensed unknown field. This sounds highly unprobable. But if true, this would have implications about all of physics, not just some new material science.