This is my vision of the relationship between mathematics and physics based on my observations on the nature of physical laws and mathematical structures. I use mainstream ideas from quantum gravity such as string theory, holography, the landscape and loop quantum gravity as a base for my reasoning. In addition I bring together more speculative ideas such as the Mathematical Universe Hypothesis, multiple quantisation, universality, iterated integration maps and complete symmetry. In my view these clues come together into a consistent whole where a structure from higher category theory is the central piece from which all else stems. The future of fundamental physics is going to be much more challenging than the past on both the experimental and theoretical sides and these meta-physical structures need to be understood to guide us towards the more specific physical laws which rule our universe. On a more philosophical level they can provide an explanation for why we exist and why the laws of physics are so steeped in mathematical abstraction.
Philip Gibbs