Abstract
In this essay I will discuss the relation between information and spacetime. First I demonstrate that because of diffeomorphism invariance a smooth spacetime contains only a discrete amount of information. Then I directly identify the spacetime as carrier of the Bit, and derive the matter (as It) from the spacetime to get a direct identification of Bit and It. But the picture is stationary up to now. Adding the dynamics is identical to introducing a time coordinate. Next I show that there are two ways to introduce time, the global time leading to quantum objects or the local time leading to a branched structure for the future (tree of the Casson handle). This model would have a tremendous impact on the measurement process. I discuss a model for the measurement of a quantum object with an explicit state reduction (collapse of the wave function) caused by gravitational interaction. Finally I discuss also quantum fluctuations on geometrical grounds. Dedicated to the memory of C.F. von Weizsäcker.
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- 1.
Here I remark a mathematical fact which is not easy to see: every homology 3-sphere is contained in the wild \(S^{3}\).
- 2.
This fact is folklore in Khovanov homology to describe the concordance class of a knot.
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Asselmeyer-Maluga, T. (2015). Spacetime Weave—Bit as the Connection Between Its or the Informational Content of Spacetime. In: Aguirre, A., Foster, B., Merali, Z. (eds) It From Bit or Bit From It?. The Frontiers Collection. Springer, Cham. https://doi.org/10.1007/978-3-319-12946-4_12
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