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Abstract <p>Loop quantum gravity is a perspective candidate for the quantum theory of gravity. However, there is a conceptual controversy in it: having started from the Einstein–Hilbert action and describing spacetime without matter, we can hardly define spacetime as anything other than a set of relations between matter fields. Here, following the Penrose idea of combinatorial spacetime we reformulate loop quantum gravity theory solely in terms of the matter fields.</p>

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Combinatorial Spacetime from Loop Quantum Gravity

  • 期刊论文

  • 发表日期：

    2026年2月8日

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  • M. V. Altaisky

摘要

Abstract

Loop quantum gravity is a perspective candidate for the quantum theory of gravity. However, there is a conceptual controversy in it: having started from the Einstein–Hilbert action and describing spacetime without matter, we can hardly define spacetime as anything other than a set of relations between matter fields. Here, following the Penrose idea of combinatorial spacetime we reformulate loop quantum gravity theory solely in terms of the matter fields.