The Bimetric Theory Of Quantized Fields

TL;DR

This paper proposes a bimetric theory of quantized fields that accounts for anti-particles as trapped in a different spacetime, with implications for energy conditions and quantum gravity anomalies.

Contribution

It introduces a novel bimetric framework that models anti-particles as residing in a separate spacetime patch, addressing energy conditions and anomaly cancellation.

Findings

Anti-particles are modeled as trapped in a different metric spacetime.

Time flows oppositely for anti-states, aligning with Feynman-Stückelberg.

Anti-states are crucial for canceling gravitational anomalies at quantum gravity scales.

Abstract

We introduce a special class of bimetric theories of quantized fields with preserved classical energy conditions. More precisely, we describe the missing anti-particles in our visible universe as being trapped in a spacetime patch with different metric such as the de-Sitter spacetime and negative energies. In order to stabilize these anti-states, time must go in the opposite direction to our visible universe, in agreement with the Feynman-St\"uckelberg interpretation of antiparticles. Since the energy scale of our observed universe is low, we do not need to worry about these highly energetic anti-particles except for compatibility issues regarding the restoration of classical energy conditions. However, at the quantum gravity scale, these anti-states play a crucial role in the cancellation of gravitational anomalies, along with other possible quantum anomalies that may emerge.