Self-Existing Objects and Auto-Generated Information in Chronology-Violating Space–times: A Philosophical Discussion

Romero, Gustavo E.; Torres, D. F.

doi:10.1142/s0217732301004467

Cited by 5 publications

(4 citation statements)

References 37 publications

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“…For example, while the wave functions in Eqs. (17) and (18) do not satisfy the continuity condition across the wormhole, they each yield a density matrix̺ 2 given by (19) so that Eq. (20) is satisfied.…”

Section: Consistency the Density Matrix And The Mixed State Mwimentioning

confidence: 99%

“…( 19) describes a mixed state with equal probabilities of 1 2 for finding a BB entering, or not entering, the wormhole at t = T. Since the subsystem at z = z 2 is in a mixed state at t = T, this subsystem, and therefore, from Eq. (17). the system as a whole, must be in a mixed state at t = 0 if there is to be continuity across the wormhole.…”

Section: Consistency the Density Matrix And The Mixed State Mwimentioning

confidence: 99%

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Time travel paradoxes, path integrals, and the many worlds interpretation of quantum mechanics

Everett

2004

Phys. Rev. D

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We consider two approaches to evading paradoxes in quantum mechanics with closed timelike curves (CTCs). In a model similar to Politzer's, assuming pure states and using path integrals, we show that the problems of paradoxes and of unitarity violation are related; preserving unitarity avoids paradoxes by modifying the time evolution so that improbable events become certain. Deutsch has argued, using the density matrix, that paradoxes do not occur in the "many worlds interpretation". We find that in this approach account must be taken of the resolution time of the device that detects objects emerging from a wormhole or other time machine. When this is done one finds that this approach is viable only if macroscopic objects traversing a wormhole interact with it so strongly that they are boken into microscopic fragments. .

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Section: Consistency the Density Matrix And The Mixed State Mwimentioning

confidence: 99%

Section: Consistency the Density Matrix And The Mixed State Mwimentioning

confidence: 99%

Time travel paradoxes, path integrals, and the many worlds interpretation of quantum mechanics

Everett

2004

Phys. Rev. D

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“…Aquinas states that this is a self-evident premise: "There is no case known (neither is it, indeed, possible) in which a thing is found to be the efficient cause of itself; for so it would be prior to itself, which is impossible." Romero and Torres [12] and Romero [13], have shown, however, that it is possible to deny P ′ 2 without contradiction in space-times with non-trivial topology 7 . Whether there are space-time regions with such a topology (e.g.…”

Section: Second Premisementioning

confidence: 99%

New remarks on the cosmological argument

Romero

Pérez

2012

Int J Philos Relig

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We present a formal analysis of the Cosmological Argument in its two main forms: that due to Aquinas, and the revised version of the Kalam Cosmological Argument more recently advocated by William Lane Craig. We formulate these two arguments in such a way that each conclusion follows in first-order logic from the corresponding assumptions. Our analysis shows that the conclusion which follows for Aquinas is considerably weaker than what his aims demand. With formalizations that are logically valid in hand, we reinterpret the natural language versions of the premises and conclusions in terms of concepts of causality consistent with (and used in) recent work in cosmology done by physicists. In brief: the Kalam argument commits the fallacy of equivocation in a way that seems beyond repair; two of the premises adopted by Aquinas seem dubious when the terms 'cause' and 'causality' are interpreted in the context of contemporary empirical science. Thus, while there are no problems with whether the conclusions follow logically from their assumptions, the Kalam argument is not viable, and the Aquinas argument does not imply a caused origination of the universe. The assumptions of the latter are at best less than obvious relative to recent work in the sciences. We conclude with mention of a new argument that makes some positive modifications to an alternative variation on Aquinas by Le Poidevin, which nonetheless seems rather weak.

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“…That is (in terms of killing grandfathers) the interesting question is 'Why is it that a child who plans, first, to build his time machine (at the age of 20), then to marry (at 30), and then to force his offspring to kill him when he is 25, will always fail? '2 Correspondingly, we deal neither with the (quantum) 'many-world' theory[14], nor with the (metanomological[15]?) 'principle of self-consistency'[10].…”

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confidence: 99%