Prever em quanto tempo o universo pode entrar em colapso se a energia escura tiver quintessaªncia
Um trio de astrofisicos, dois de Princeton, o outro da Universidade de Nova York, calculou estimativas de quanto tempo o universo poderia entrar em colapso se as teorias sobre a energia escura como tendo quintessaªncia estiverem corretas.
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)
Domanio paºblico
Um trio de astrofisicos, dois de Princeton, o outro da Universidade de Nova York, calculou estimativas de quanto tempo o universo poderia entrar em colapso se as teorias sobre a energia escura como tendo quintessaªncia estiverem corretas. Em seu artigo publicado na revista Proceedings of the National Academy of Sciences , Cosmin Andrei, Anna Ijjas e Paul Steinhardt sugerem que pode ser daqui a 100 milhões de anos.
Nas últimas décadas, pesquisadores encontraram evidaªncias da expansão do universo osobjetos distantes estãose distanciando ao longo do tempo. Albert Einstein previu que esse seria o caso e sugeriu que a força que separa tudo no universo éalgo chamado energia escura. Ele também sugeriu que sua força era constante, o que significaria que o universo se expandiria para sempre. Desde aquela anãpoca, outros sugeriram que talvez a energia escura, se realmente existe, pode não ser uma constante, afinal. E se esse fosse o caso, talvez algum dia o universo desacelerasse e talvez atéparasse de se expandir, e/ou se invertesse, permitindo que o universo se contraasse atéser reduzido a uma única entidade. Os proponentes de tal teoria descrevem a energia escura como tendo um campo dina¢mico que eles chamam de quintessaªncia osuma propriedade que permitiria a expansão ou contração do universo. E estudando evidaªncias coletadas sobre o universo conhecido, eles descobriram que a teoria étão sãolida quanto a que propaµe a energia escura como uma constante.
Nesse novo esfora§o, o trio de pesquisa se perguntou quanto tempo pode levar o universo para desacelerar, parar, comea§ar a se contrair e, eventualmente, atingir um aºnico ponto se a energia escura tiver quintessaªncia. Para vislumbrar tal ideia, eles construaram um modelo do universo osum que usava dados reais descrevendo caracteristicas do universo conhecido. Mostrou-lhes que, se a ideia de quintessaªncia for verdadeira, então o universo já pode estar diminuindo sua aceleração. Tambanãm mostrou que poderia desacelerar atéparar em aproximadamente 65 milhões de anos ose poderia comea§ar a se contrair daqui a 100 milhões de anos. A teoria, como a que sugere a energia escura éuma constante, não pode ser provada, pois não hácomo testa¡-la. Os astrofisicos precisam confiar em sinais vindos de anos-luz de distância, o que sugere que, se o universo estiver se contraindo, não poderemos medi-lo por milhões de anos.