# Invariance under complex transformations, and its relevance to the cosmological constant problem

@inproceedings{Hooft2006InvarianceUC, title={Invariance under complex transformations, and its relevance to the cosmological constant problem}, author={Gerard 't Hooft and Stefan Nobbenhuis}, year={2006} }

In this paper we study a new symmetry argument that results in a vacuum
state with strictly vanishing vacuum energy. This argument exploits the well-known
feature that de Sitter and Anti- de Sitter space are related by analytic continuation.
When we drop boundary and hermiticity conditions on quantum fields, we get as many
negative as positive energy states, which are related by transformations to complex space.
The paper does not directly solve the cosmological constant problem, but… CONTINUE READING

#### Citations

##### Publications citing this paper.

SHOWING 1-10 OF 19 CITATIONS

## A way to get rid of cosmological constant and zero-point energy problems of quantum fields through metric reversal symmetry

VIEW 4 EXCERPTS

CITES BACKGROUND

HIGHLY INFLUENCED

## Metrics and isospectral partners for the most generic cubic PT-symmetric non-Hermitian Hamiltonian

VIEW 4 EXCERPTS

CITES METHODS & BACKGROUND

HIGHLY INFLUENCED

## Temperature-reflection I: field theory, ensembles, and interactions

VIEW 3 EXCERPTS

CITES BACKGROUND

HIGHLY INFLUENCED

## Derivation of Dirac, Klein-Gordon, Schrödinger, diffusion and quantum heat transport equations from a universal quantum wave equation

VIEW 3 EXCERPTS

CITES BACKGROUND

HIGHLY INFLUENCED

## A symmetry for the vanishing cosmological constant

VIEW 3 EXCERPTS

CITES BACKGROUND

HIGHLY INFLUENCED

## Can We Derive Quantum Mechanics as an Emergent Theory from a Modified Relativity?

VIEW 1 EXCERPT

CITES BACKGROUND

## Mechanism for Resolving Gauge Hierarchy and Large Vacuum Energy.

VIEW 1 EXCERPT

CITES RESULTS

## Modified Relativity for Emergent Quantum Mechanics

VIEW 1 EXCERPT

CITES BACKGROUND

## Holographic Dark Energy

VIEW 1 EXCERPT

CITES BACKGROUND

#### References

##### Publications referenced by this paper.

SHOWING 1-3 OF 3 REFERENCES