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Generation and Coherent Control of Pulsed Quantum Frequency Combs

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Published on: June 8, 2018

Fractal universe and quantum gravity.

Gianluca Calcagni¹

¹Max Planck Institute for Gravitational Physics (Albert Einstein Institute) Am Mühlenberg 1, D-14476 Golm, Germany.

Physical Review Letters

|September 28, 2010

Summary

This summary is machine-generated.

We introduce a novel field theory in fractal spacetime that is Lorentz invariant, renormalizable, and finite. This theory transitions from a 2D fractal universe to a 4D spacetime, conserving energy and momentum.

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Area of Science:

Theoretical Physics
Quantum Field Theory
Cosmology

Background:

Investigating quantum gravity and cosmology requires understanding spacetime at different scales.
Existing theories often face challenges with ultraviolet divergences and renormalization.

Purpose of the Study:

To propose a new field theory in fractal spacetime.
To explore its properties such as Lorentz invariance, renormalizability, and finiteness.
To discuss implications for quantum gravity and cosmology.

Main Methods:

Development of a field theory in a fractal spacetime with Hausdorff dimension 2.
Analysis of the theory's flow from an ultraviolet fixed point to an infrared limit.
Examination of a scalar field's dynamics and propagator.
Classical analysis of energy-momentum exchange with the bulk.

Main Results:

The proposed field theory is Lorentz invariant, power-counting renormalizable, ultraviolet finite, and causal.
The theory exhibits a flow from a 2D fractal spacetime to a standard 4D spacetime.
Total energy and momentum are conserved despite classical exchanges with the bulk.

Conclusions:

The fractal spacetime field theory offers a potential framework for quantum gravity and cosmology.
It provides a mechanism for a universe to evolve from a fractal state to a 4D spacetime.
Further implications for the cosmological constant are discussed.