De Sitter Spacetime from Holographic Flat Spacetime with Inexact Bulk Quantum Mechanics

TL;DR

This paper proposes a holographic duality between flat spacetime with approximate quantum mechanics and de Sitter spacetime with exact quantum mechanics, linking the cosmological constant to quantum mechanical violations.

Contribution

It introduces a novel duality connecting inexact bulk quantum mechanics in flat spacetime to exact quantum mechanics in de Sitter spacetime, with implications for understanding the cosmological constant.

Findings

De Sitter spacetime is dual to flat spacetime with inexact quantum mechanics.

The positive cosmological constant relates to the degree of quantum mechanical violation.

The observed smallness of the cosmological constant indicates high bulk quantum mechanical accuracy.

Abstract

We argue that the flat spacetime with inexact quantum mechanics in it is dual to the de Sitter spacetime with exact quantum mechanics in it, and the positive cosmological constant of this de Sitter spacetime is in the second order of the degree of the violation of the bulk quantum mechanics in the flat spacetime. The flat spacetime is holographic and has a dual time-contracted boundary conformal field theory with two redefined central charges at null infinity. The vanishing smallness of the observed positive cosmological constant suggests the extraordinary exactness of the bulk quantum mechanics in the flat spacetime.