1. Introduction

    1. Could one generalize arithmetics by replacing sum and product with direct sum and tensor product?

    2. McKay graphs and McKay correspondence

  2. Could the arithmetics based on direct sum and tensor product for the irreps of the Galois group make sense and have physical meaning?

    1. Questions

    2. Could the notion of quantum arithmetics be useful in the TGD framework?

  3. What could lurk behind McKay correspondence?

    1. McKay correspondence

    2. Questions

    3. TGD view about McKay correspondence

    4. Do the inclusion hierarchies of extensions of rationals correspond to inclusion hierarchies of hyperfinite factors?