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<p>The existence of a large extra dimension in which only gravity propagates would have spectacular consequences for cosmology and laboratory experiments. In the strong coupling limit of the <i>E</i><sub>8</sub> × <i>E</i><sub>8</sub> heterotic string theory, the gauge and matter fields live at the end of the eleventh dimension, which becomes a natural candidate for a micron-size <i>dark dimension</i>. In this work, however, we show that the length of the M-theory interval is severely constrained by proton decay searches. Our results indicate that in such constructions the size of the eleventh dimension is <i>R</i> ≲ 𝒪(10<sup><i>−</i>28</sup>) meters.</p>

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The dark dimension, proton decay, and the length of the M-theory interval

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  • 发表日期：

    2026年5月26日

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  • Mario Reig,
  • Ignacio Ruiz

摘要

The existence of a large extra dimension in which only gravity propagates would have spectacular consequences for cosmology and laboratory experiments. In the strong coupling limit of the E8 × E8 heterotic string theory, the gauge and matter fields live at the end of the eleventh dimension, which becomes a natural candidate for a micron-size dark dimension. In this work, however, we show that the length of the M-theory interval is severely constrained by proton decay searches. Our results indicate that in such constructions the size of the eleventh dimension is R ≲ 𝒪(10−28) meters.