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Relative/Relational Space

In contrast to absolute space, which is fixed, asocial, and timeless, relative or relational space reflects the wide varieties of ways in which distance is measured and conquered, that is, space as socially made and remade over time. Relative space thus portrays geographies as fluid, mutable, and ever changing. (Some observers differentiate relative from relational space, while others treat them as synonymous; see quote by Harvey below.)

The genesis of relative space may arguably be traced to the famed 17th-century intellectual Gottfried Leibniz, Isaac Newton's great rival in the invention of calculus and the founder of a perspective on spatiality sharply at odds with the prevailing Euclidean/Cartesian emphasis on absolute space. In contrast to Newton, who held that space exists independently of how it is measured or what it contains, Leibniz held that time and space are relative, that is, comprehensible only with reference to specific frames of interpretation. Distance, for example, may be understood only through appeal to the space between two or more objects situated in space. Relative space, however, remained subordinate to absolute space for many years, at least until the massive changes of the Industrial Revolution reworked the meaning of spatiality itself.

Marxism, too, offered a surprisingly early vision of relative space, tying it to the historical process by which capitalism reached out and conquered new spaces, enveloping them within ever-broader spatial divisions of labor. Marx (1973) argued in the Grundrisse that

while capital must on one side strive to tear down every spatial barrier to intercourse … it strives on the other side to annihilate this space with time, i.e., to reduce to a minimum the time spent in motion from one place to another. (p. 539)

David Harvey's extension of Marxist analysis into geography, which drew on the influential works of Henri Lefebvre and initiated a simultaneous spatialization of Marxism, linked the construction and reconstruction of relative space to the endless search for ever-greater profits and outlets for surplus value. The need to “annihilate space by time” is thus fundamental to the operation and survival of capitalism on an ongoing basis, that is, its ability to reproduce itself at ever-expanded spatial scales and to accelerate temporal rhythms of capital accumulation. Harvey (2006b) offers useful definitions of absolute, relative, and relational space:

Absolute space is fixed and we record or plan events within its frame. This is the space of Newton and Descartes and it is usually represented as a pre-existing and immoveable grid amenable to standardized measurement and open to calculation. Geometrically it is the space of Euclid and therefore the space of all manner of cadastral mapping and engineering practices…. The relative notion of space is mainly associated with the name of Einstein and the non-Euclidean geometries that began to be constructed most systematically in the 19th century. Space is relative in the double sense: that there are multiple geometries from which to choose and that the spatial frame depends crucially upon what it is that is being relativized and by whom…. The relational concept of space is most often associated with the name of Leibniz who … objected vociferously to the absolute view of space and time so central to Newton's theories. His primary objection was theological. Newton made it seem as if even God was inside of absolute space and time rather than in command of spatiotemporality. By extension, the relational view of space holds there is no such thing as space or time outside of the processes that define them…. Processes do not occur in space but define their own spatial frame. (pp.

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