Hyperunified field theory and Taiji program in space for GWD

TL;DR

This paper introduces the hyperunified field theory (HUFT) within gravitational quantum field theory, proposing a gauge-invariant framework in hyper-spacetime that unifies all fundamental forces and particles, and discusses the Taiji space-based gravitational wave detection program.

Contribution

It develops a novel hyperunified field theory based on hyper-spacetime and gauge symmetry, linking gravity with quantum field theory and proposing a new fundamental framework.

Findings

HUFT unifies all basic forces and particles within a gauge-invariant hyper-spacetime framework.

Demonstrates gauge-gravity and gravity-geometry dualities with emergent symmetry.

Outlines the Taiji space-based gravitational wave detection program.

Abstract

In this talk, I present the recently established hyperunified field theory (HUFT) \cite{YLWU1,YLWU2} for all basic forces and elementary particles within the framework of gravitational quantum field theory (GQFT)\cite{YLWU3,YLWU4} in hyper-spacetime. GQFT treats gravity as a gauge theory in the framework of quantum field theory to avoid the long term obstacle between the general relativity and quantum mechanics. HUFT is built based on the guiding principle: the dimension of hyper-spacetime correlates to intrinsic quantum numbers of basic building blocks of nature, and the action describing the laws of nature obeys the gauge invariance and coordinate independence, which is more fundamental than that proposed by Einstein for general relativity. The basic gravitational field is defined in biframe hyper-spacetime as a bicovariant vector field, it is a gauge-type hyper-gravifield rather than a metric field. HUFT is characterized by a bimaximal Poincar\'e and hyper-spin gauge symmetry PO(1,$D_h$-1)$\Join$SP(1,$D_h$-1) with a global and local conformal scaling invariance in biframe hyper-spacetime. The gravitational origin of gauge symmetry is revealed through the hyper-gravifield that plays an essential role as a Goldstone-like field, which enables us to demonstrate the gauge-gravity and gravity-geometry correspondences and to corroborate the gravitational gauge-geometry duality with an emergent hidden general linear group symmetry GL($D_h$,R). The Taiji Program in Space for the gravitational wave detection in China\cite{Nature,Taiji,HUWU} is briefly outlined.