Original title: Gravitational Backreaction in de Sitter: A Canonical ADM Approach
Giordano Cintia · September 2026
During the rapid expansion of the early universe, called inflation, quantum ripples might affect the overall geometry of space. This effect is called backreactionHow quantum fluctuations affect the background geometry they live in.. Physicists want to know if these ripples destabilize the expanding universe. The authors built a mathematical framework based on gravity equations called the canonical ADM approach. It tracks the expanding background by treating it as an average quantum field. They tested this method on two ingredients in an expanding space called de Sitter spacetime: a massless spectator scalar field and physical graviton ripples. They calculated the effects at the one loop level. They found that these ripples adjust the link between the cosmological constant and the expansion rate. Crucially, the ripples do not trigger a runaway shift away from the steady expansion over time.
Imagine living in a house where the heating system adjusts itself based on small temperature changes from open windows. These adjustments could add up and make the house too hot or cold, destabilizing the temperature. In this paper, quantum fields are like the open windows, and gravitational backreaction is like the heating adjustments. The study finds that the adjustments renormalize the system without causing the temperature to drift away from the set point.
Cosmologists studying the early universe need to know if quantum effects disrupt inflation. This work shows that gravitational backreaction does not destabilize the exponential expansion, reinforcing the reliability of inflationary models.
The analysis is limited to the exact de Sitter limit and one-loop approximation. It only considers a massless minimally coupled spectator scalar field and physical graviton polarizations. The representation depends on gauge choices, though physically equivalent.
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Gravitational Backreaction in de Sitter: A Canonical ADM Approach — Giordano Cintia
Abstract licence: CC0
Explanation generated by Synthesis from the abstract — it is not the original paper. This is a preprint, so it hasn't necessarily been peer reviewed.