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'a palace and a prison on each hand': venice between madness and ...

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110<br />

Chapter Seven<br />

materiality itself must be c<strong>on</strong>ceived in the same plural (physical, cultural,<br />

political, <str<strong>on</strong>g>and</str<strong>on</strong>g> historical) <str<strong>on</strong>g>and</str<strong>on</strong>g> multiply interactive sense. My main thesis is<br />

that the materiality pertaining to a given space or spacetime inflects or<br />

‘curves’ this spacetime, as against the Euclidean <str<strong>on</strong>g>and</str<strong>on</strong>g> then Cartesian<br />

c<strong>on</strong>cepts of mathematical space, or our (Cartesian) models for other<br />

spaces, often based <strong>on</strong> these c<strong>on</strong>cepts.<br />

This statement is literally true in physics, where, according to Albert<br />

Einstein’s so-called general relativity theory, a n<strong>on</strong>-Newt<strong>on</strong>ian theory of<br />

gravity, introduced in 1915, the gravity of material bodies or of other<br />

forms of materiality, such as an electromagnetic field, curves spacetime<br />

(which physically means that gravity bends light rays). This curvature is,<br />

moreover, generally variable, depending <strong>on</strong> the amount of matter in the<br />

vicinity of a given point. The theory is grounded in <strong>on</strong>e of the key<br />

c<strong>on</strong>cepts of modern geometry, due to Bernhard Riemann, the c<strong>on</strong>cept of<br />

“manifold”—defined as (in general) a n<strong>on</strong>-Euclidean space, composed of a<br />

c<strong>on</strong>glomerate of local spaces, whose curvature may vary. The physical<br />

part of Einstein’s theory in part follows Leibniz, arguably the greatest<br />

philosopher of the Baroque. Leibniz questi<strong>on</strong>ed Newt<strong>on</strong>’s c<strong>on</strong>cept of<br />

absolute (ambient) space in which bodies are placed <str<strong>on</strong>g>and</str<strong>on</strong>g> argued instead<br />

that the idea of space is meaningless apart from the presence of physical<br />

bodies. The c<strong>on</strong>cept of spacetime was introduced earlier as part of thecalled<br />

special (rather than general) relativity theory, formulated by<br />

Einstein in 1905 <str<strong>on</strong>g>and</str<strong>on</strong>g> restricted to the theory of electromagnetic<br />

phenomena, such as light, in the absence of gravity. In either form of<br />

relativity theory, special or general, <strong>on</strong>e can no l<strong>on</strong>ger distinguish<br />

unc<strong>on</strong>diti<strong>on</strong>ally, <strong>on</strong>ce <str<strong>on</strong>g>and</str<strong>on</strong>g> for all, spatiality <str<strong>on</strong>g>and</str<strong>on</strong>g> temporality, since space<br />

can become time, <str<strong>on</strong>g>and</str<strong>on</strong>g> time space. By c<strong>on</strong>trast, the c<strong>on</strong>cept of spacetime is<br />

rigorously applicable throughout, <str<strong>on</strong>g>and</str<strong>on</strong>g> allows for this exchange <strong>between</strong><br />

spatial <str<strong>on</strong>g>and</str<strong>on</strong>g> temporal determinati<strong>on</strong>s of events depending <strong>on</strong> the frame of<br />

reference in which a given event is defined. The scheme is correlative to<br />

the impossibility of a single frame of reference that would allow <strong>on</strong>e to<br />

coordinate all the events in the way it is possible in Newt<strong>on</strong>’s physics.<br />

This impossibility gives the spacetimes of Einstein’s theory an irreducible<br />

heterogeneity, even in the absence of gravity. The variability of curvature,<br />

defined by gravity, gives spacetimes of general relativity an even more<br />

radical heterogeneity. Indeed, apart from certain special cases, it deprives<br />

them of all homogeneity, in accordance Riemann’s c<strong>on</strong>cept of manifold,<br />

defined as a heterogeneous, but c<strong>on</strong>nected, c<strong>on</strong>glomerate of local spaces<br />

(of, in general variable curvature) ‘quilted’ together.<br />

Einstein’s theory has important technological underpinnings in the<br />

processes of observati<strong>on</strong> <str<strong>on</strong>g>and</str<strong>on</strong>g> measurement, which give it a more complex

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