Spatialization of Bergsonian Time

If the continuum is not conceived of as a set of points it is totally possible to spatialize Bergsonian time. There are many notions of "spatial" continuum. The most important ones, as far as I know, are Aristotelian, Cantorian, and Brouwerian continuum. Bergson's so-called mathematical continuum is essentially the Cantorian one: an ideal, objective object that independently exists, and is constituted by individual points. Bergson's own notion of duration is very close to Aristotelian continuum in some aspects. For example, Aristotelian continuum is not a set of points, depends on the perceiving or comprehending rational soul.

Brouwerian continuum used as a model of "spatialized" time is not a container of motion in any conceivable way. It is directly linked to consciousness since it is a syrup-like amalgamation of potentiality where free choice sequences generate sub-continuum that fuzzily divide the continuum into parts without discernible clear-cut border in such a way that past-now-future is not defined in most cases. Let's just call this generation of sub-continua the process of fine-graning. This fine-graining of the continuum depends on the degree of the concentration that the consciousness which comprehends the continuum exerts on the latter; it is always in the process of becoming, and this process doesn't adhere to the order that is inherent in the Cantorian continuum embodied by the numbers - namely the objective time of Bergson.

Brouwerian continuum is Bergsonian duration. At least it is one model of the latter.