![]() ![]() But they also suggest the possibility of other, in some ways yet more exotic, spacetime phenomena. In what follows, we’ll see that our models can reproduce known implications of Einstein’s equations such as black holes, event horizons and spacetime singularities. But unlike with the Einstein equations, which effectively just tell one to “find a spacetime that satisfies certain constraints defined by the equations”, our models give a direct computational way to determine the structure that is supposed to limit to spacetime. Yes, there’s complexity in taking large-scale limits in our models. And in some ways I think our models may help clarify what’s going on. It should be said at the outset that even after more than 100 years the whole issue of what weird features of spacetime Einstein’s equations can imply remains a rather confusing subject, that is still very far from completely understood. My purpose here is to go further, both in more completely understanding the correspondence with general relativity, and in seeing what additional or different phenomena arise in our models. I already discussed this to some extent in my technical introduction to our models. An important result is that (subject to various assumptions) there is a continuum limit in which the emergent spacetime follows Einstein’s equations from general relativity.Īnd given this, it is natural to ask what happens in our models with some of the notable phenomena from general relativity, such as black holes, event horizons and spacetime singularities. In our models, space emerges as the large-scale limit of our spatial hypergraph, while spacetime effectively emerges as the large-scale limit of the causal graph that represents causal relationships between updating events in the spatial hypergraph. The Structure and Pathologies of Spacetime Just finished a 4-hour marathon #WolframPhysics working session livestream studying black holes in our models … and invented “causal connection graphs” for distinguishing different kinds of event horizons… /TMk91PKonz FAUXoqnAbmįrom today’s #WolframPhysicsLive: Can space tunnels exist as tubes of higher-dimensional spacetime? Can we define dimension tensors to analyze these? /r7OrFTvhyI Exploring black holes and other much more exotic phenomena in spacetime in #WolframPhysics models… /9UhxGCONSCĪnd black holes nested in black holes? /Rh9IIWol6Bįrom yesterday’s #WolframPhysicsLive: classifying singularities in emergent spacetime … cosmic horizons black holes disconnected subuniverses …. ![]()
0 Comments
Leave a Reply. |
Details
AuthorWrite something about yourself. No need to be fancy, just an overview. ArchivesCategories |