Embedded structure in quantum theory, functional operator and multiverse

TL;DR

This paper proposes a new quantum theory framework with embedded structures using functional operators, potentially describing the level II multiverse and addressing cosmological topics like inflation and the landscape.

Contribution

It introduces a novel quantum theory with embedded structures based on functional operators, extending quantum mechanics to include multiverse concepts.

Findings

Formulates a quantum theory with embedded structure.

Suggests the theory can describe the level II multiverse.

Discusses implications for cosmology and universe origins.

Abstract

We explore a wider theoretical framework that has quantum field theory built-in, taking the fact that quantum mechanics is reconstructed from quantum field theory as a hint. We formulate a quantum theory with an embedded structure by introducing functional operators, and we find that it could describe the level II multiverse. Topics related to a beginning of the universe such as an inflation, the third quantization and the landscape are discussed in our formulation.