A wormhole is a speculative structure linking disparate points in spacetime, and is based on a special solution of the Einstein field equations solved using a Jacobian matrix and determinant.


A Closed Timelike Curve (CTC) is is a world line in a Lorentzian manifold, of a material particle in spacetime that is "closed", returning to its starting point. These would theoretically make time travel possible and could be used to perform hypercomputation.

(https://en.wikipedia.org/wiki/Closed_timelike_curve) (https://en.wikipedia.org/wiki/Hypercomputation)

GR solutions containing CTCs have been found, such as the Tipler cylinder and traversable wormholes

Since wormholes could contain CTCs and they could lead to hypercomputational processes and consequences, could these wormholes have laws and constants of physics based on hypercomputational principles?

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    $\begingroup$ What do you mean by "laws and constants of physics based on hypercomputational principles"? If wormhole CTCs exist they allow certain forms of exotic computation, but that would just mean physics allows these forms, it does not change what physics is. $\endgroup$ – Anders Sandberg Feb 15 '19 at 9:29
  • $\begingroup$ @AndersSandberg, oh, okay, that's where I wanted to go. So, CTCs would not make physics itself "hypercomputational" inside a wormhole $\endgroup$ – sztorwi Feb 15 '19 at 22:09
  • $\begingroup$ @AndersSandberg and if not, then, what about Schmidhuber's theories of everything based on Chaitin's constant? (en.wikipedia.org/wiki/Chaitin%27s_constant): " Jürgen Schmidhuber (2000) constructed a limit-computable "Super Ω" which in a sense is much more random than the original limit-computable Ω, as one cannot significantly compress the Super Ω by any enumerating non-halting algorithm" Would his theories be based on hypercomputation? $\endgroup$ – sztorwi Feb 15 '19 at 23:13
  • $\begingroup$ @AndersSandberg More information about Schmidhuber's hypothesis: "(...)he expanded this work by combining Ray Solomonoff's theory of inductive inference with the assumption that quickly computable universes are more likely than others. This work on digital physics also led to limit-computable generalizations of algorithmic information or Kolmogorov complexity and the concept of Super Omegas, which are limit-computable numbers that are even more random (in a certain sense) than Gregory Chaitin's number of wisdom Omega." (en.wikipedia.org/wiki/Digital_physics) $\endgroup$ – sztorwi Feb 15 '19 at 23:14
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    $\begingroup$ @sztowi - What does Schmidhuber's work have to do with CTCs? $\endgroup$ – Anders Sandberg Feb 16 '19 at 9:46

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