Views, variety and celestial spheres

TL;DR

This paper extends causal view theories by representing events through degrees of freedom on punctured celestial spheres, integrating twistor theory to achieve relativistic invariance and emergent spacetime from fundamental energy-momentum conservation.

Contribution

It introduces a novel representation of event views on punctured celestial spheres, connecting energetic causal sets with twistor and celestial sphere frameworks for relativistic invariance.

Findings

Emergent Minkowski spacetime from energy-momentum conservation.

Representation of event views via punctured celestial spheres.

Relativistically invariant formulations of causal set theories.

Abstract

This paper describes a continuation of the program of causal views, in which the world consists of nothing but a vast number of partial views of its past. Each view is associated to an event, and is a representation of the immediate causal past of that event. These consists mainly of processes that transfer energy, momentum and other charges to it from its past events. There is fundamentally no space or spacetime, just a large number of events, which are the causes of events to come. This is a development of energetic causal set theories, developed with Marina Cortes. Momentum and energy are fundamental, and are conserved under their transformation from present events to future events. As a result Minkowski spacetime emerges, in a way that preserves causal relations. The locality of events as constructed in the emergent spacetime is a consequence of the conservation of energy-momentum fundamentally. In this paper we propose that the views of events can be represented in terms of degrees of freedom on punctured two surfaces-each puncture corresponding to an immediate past event. This opens up to the use of mathematical tools from twistor theory and the nascent area of celestial spheres. We show that This makes possible versions of the theory that are relativistically invariant.