English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

The definition of probabilities in eternally inflating universes requires ameasure to regulate the infinite spacetime volume, and much of the currentliterature uses a global time cutoff for this purpose. Such measures have beenfound to lead to paradoxical behavior, and recently Bousso, Freivogel,Leichenauer, and Rosenhaus have argued that, under reasonable assumptions, theonly consistent interpretation for such measures is that time must end at thecutoff. Here we argue that there is an alternative, consistent formulation ofsuch measures, in which time extends to infinity. Our formulation begins with amathematical model of the infinite multiverse, which can be constructed withoutthe use of a measure. Probabilities, which obey all the standard requirementsfor a probability measure, can then be defined by mathematical limits. Theyhave a peculiar feature, however, which we call time-delay bias: if the outcomeof an experiment is reported with a time delay that depends on the outcome,then the observation of the reports will be biased in favor of the shorter timedelay. We show how the paradoxes can be resolved in this interpretation of themeasure.

Eternal Inflation, Global Time Cutoff Measures, and a Probability Paradox