Re: Topos of Quantum Gravity

2020-09-24 Thread Philip Thrift
It is interesting approach to fundamentally replace the underlaying language (logic) of physics. Topos Quantum Theory Christopher J. Isham https://fqxi.org/grants/large/awardees/view/__details/2006/isham *One important feature of topos theory is that a proposition such as "the physical

Re: Topos of Quantum Gravity

2020-09-24 Thread Bruno Marchal
> On 22 Sep 2020, at 19:49, Lawrence Crowell > wrote: > > I downloaded Doering’s paper. In scanning this I see a mention of Chris > Isham, who started this idea of Topos as a category system of physics. > Which is nice. Isham is also quite open for the “many-world”. > I think in a way

Re: Topos of Quantum Gravity

2020-09-24 Thread Bruno Marchal
> On 24 Sep 2020, at 13:20, Philip Thrift wrote: > > It is interesting approach to fundamentally replace the underlaying language > (logic) of physics. > > > Topos Quantum Theory > Christopher J. Isham > > > https://fqxi.org/grants/large/awardees/view/__details/2006/isham > > > One

Re: Topos of Quantum Gravity

2020-09-24 Thread Lawrence Crowell
The τ = θ/2π + 4πi/g^2 contains elements that are both Lie algebraic and Jordan. The Jordan algebra connects with the E8 and the Jordan matrix algebras, in particular J^3(O). These have the property of a multiplication X°Y = ½(XY + YX) , which is how we think of classical variables. For this