<p>According to the mereological view of spacetime emergence, spacetime emerges from non-spatiotemporal fundamental entities in the sense that the latter compose the former. Some authors object to the mereological view on the grounds that our mereology of physical objects is closely associated with certain locative principles, which non-spatiotemporal entities cannot satisfy because they lack location. This paper argues that the mereological view can be defended by turning to mereotopology, which supplements mereology with a theory of connection. A mereotopological theory will be proposed for physical entities, which includes analogues of the locative principles and a bridge principle relating connection with location. It is shown that our theory of location can be derived from the proposed mereotopological theory via the bridge principle. On a mereotopological view of spacetime emergence, therefore, the locative principles hold in some sense between non-spatiotemporal entities, and location emerges from the fundamental connection relation.</p>

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Locating Spacetime’s Parts

  • Nathaniel Gan

摘要

According to the mereological view of spacetime emergence, spacetime emerges from non-spatiotemporal fundamental entities in the sense that the latter compose the former. Some authors object to the mereological view on the grounds that our mereology of physical objects is closely associated with certain locative principles, which non-spatiotemporal entities cannot satisfy because they lack location. This paper argues that the mereological view can be defended by turning to mereotopology, which supplements mereology with a theory of connection. A mereotopological theory will be proposed for physical entities, which includes analogues of the locative principles and a bridge principle relating connection with location. It is shown that our theory of location can be derived from the proposed mereotopological theory via the bridge principle. On a mereotopological view of spacetime emergence, therefore, the locative principles hold in some sense between non-spatiotemporal entities, and location emerges from the fundamental connection relation.