The elegant universe

What are the ultimate causes of the universe? In the reductionist tradition, we tackle the synthesis of the fundamental forces, and the nature of symmetry, causality and information. We also develop new mathematics that unify these and other fields that at first seem unconnected.

  • Implications of alternative universes

    Alternative universes

    Taming limitations of general relativity, such as the big bang singularity, by formulating theories that admit bouncing or cyclic universes.

  • Is continuous space illusory?

    Creating discrete models of space and spacetime that appear continuous over long lengths and set the stage for non-continuum physics.

  • Bootstrap percolation

    Advancing the mathematical theory of bootstrap percolation, where active cells on a lattice with few active neighbours cease to be active.

  • Spectre of hypercubes

    Exploring the spectral properties of subgraphs of the hypercube and Hamming graphs for insights into coding theory and models of evolution.

  • Recursively divisible numbers

    Generalizing the divisor function to find a new kind of number that can be recursively divided into parts, for use in design and technology.

  • Information thermodynamics

    Understanding the physical nature of information and how it relates to energy transfer and new technologies that make use of these insights.