Extended Relativity: Beyond

TL;DR

This paper reviews extended relativity in Clifford spaces, discussing its potential to unify theories beyond General Relativity and the Standard Model, and explores future directions towards quantum gravity and unification.

Contribution

It introduces the framework of extended relativity in Clifford spaces and discusses its connections with other theories and approaches in search of quantum gravity.

Findings

ER in C-spaces offers a promising extension beyond GR and SM.

Links between ER, emergent spacetime, and quantum entanglement are explored.

Challenges for experimental verification and theoretical development are identified.

Abstract

Despite their success, General Relativity (GR) and the Standard Model (SM) are currently understood as effective field theories only valid up to some energy (length) scale, where new physics is expected to appear. We review the framework of extended relativity (ER) in Clifford spaces (C-spaces), summarizing some of its concepts, methods and results. We also discuss likely links of this approach with other relativities (OR), beyond GR and SM theories, recent ideas from emergent spacetime (ES) and quantum entanglement (QE), in search for quantum gravity (QG) and unification (U). Finally, we explore and expose the need to go even beyond ER, and the challenges it poses, from both experimental and theoretical sides.