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Quantum foam suggests spacetime is not smooth from "summary" of The Fabric of the Cosmos by Brian Greene

Quantum foam is a concept that arises from the marriage of quantum mechanics and general relativity. It suggests that at extremely small scales, smaller even than the subatomic realm, spacetime is not the smooth, continuous fabric that we typically imagine. Instead, it is a seething cauldron of quantum fluctuations, a bubbling brew of energy fluctuations that pop in and out of existence on timescales so short that they cannot be observed directly. In this frothy concoction, the very structure of spacetime itself is in a state of constant flux and turmoil. Virtual particles, particles and antiparticles, continuously materialize and annihilate, creating a frenetic dance of creation and destruction. This frenzied activity gives rise to a fundamentally uncertain and dynamic nature of spacetime at the smallest of scales. The implications of quantum foam are profound. If spacetime is not smooth and continuous, as it appears on large scales, but rather is a turbulent sea of quantum fluctuations, then our conventional understanding of space and time must be reevaluated. The very fabric of the cosmos is not as stable and predictable as we once thought, but instead is a roiling ocean of uncertainty and indeterminacy. Quantum foam challenges our intuitions about the nature of reality and forces us to confront the strangeness and complexity of the quantum world. It suggests that at the smallest of scales, the universe is a realm of constant change and transformation, where the very ground beneath our feet is in a state of perpetual upheaval. In the face of such mind-bending concepts, we are forced to reconsider our assumptions about the nature of spacetime and the structure of the universe. Quantum foam reminds us that the cosmos is a place of wonder and mystery, where the familiar rules of classical physics break down and new, unexpected phenomena emerge. It is a reminder of the limits of our understanding and the boundless possibilities that lie beyond.
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    The Fabric of the Cosmos

    Brian Greene

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