Cientistas dos EUA agora confirmaram a teoria na menor escala de todos os tempos, demonstrando que os rela³gios marcam ritmos diferentes quando separados por fraçaµes de milametro.
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)
Esta foto fornecida pelo NIST mostra um rela³gio ata´mico de estra´ncio, uma das pea§as de cronometragem mais precisas do mundo no laboratório do professor Jun Ye na Universidade do Colorado, em Boulder.
A teoria da relatividade geral de Einstein sustenta que um corpo massivo como a Terra curva o Espaço-tempo, fazendo com que o tempo diminua a medida que vocêse aproxima do objeto osentão uma pessoa no topo de uma montanha envelhece um pouco mais rápido do que alguém noníveldo mar.
Cientistas dos EUA agora confirmaram a teoria na menor escala de todos os tempos, demonstrando que os rela³gios marcam ritmos diferentes quando separados por frações de milametro.
Jun Ye, do Instituto Nacional de Padrões e Tecnologia (NIST) e da Universidade do Colorado Boulder, disse a AFP que seu novo rela³gio é"de longe" o mais preciso já construado - e pode abrir caminho para novas descobertas em meca¢nica qua¢ntica, o livro de regras para o mundo subata´mico.
Ye e seus colegas publicaram suas descobertas na prestigiosa revista Nature , descrevendo os avanços de engenharia que lhes permitiram construir um dispositivo 50 vezes mais preciso do que os melhores rela³gios ata´micos de hoje.
Nãofoi atéa invenção dos rela³gios ata´micos - que marcam o tempo detectando a transição entre dois estados de energia dentro de um a¡tomo exposto a uma determinada frequência - que os cientistas puderam provar a teoria de Albert Einstein de 1915.
Os primeiros experimentos incluaram o Gravity Probe A de 1976, que envolveu uma Espaçonave 6.000 milhas (10.000 quila´metros) acima dasuperfÍcie da Terra e mostrou que um rela³gio de bordo era mais rápido que um equivalente na Terra em um segundo a cada 73 anos.
Desde então, os rela³gios tornaram-se cada vez mais precisos e, portanto, mais capazes de detectar os efeitos da relatividade.
Em 2010, os cientistas do NIST observaram o tempo se movendo em taxas diferentes quando seu rela³gio foi movido 33 centametros mais alto.
Teoria de tudo
O principal avanço de Ye foi trabalhar com teias de luz, conhecidas como trelia§as a³pticas, para prender a¡tomos em arranjos ordenados. Isso épara impedir que os a¡tomos caiam devido a gravidade ou se movam, resultando em perda de precisão.
Dentro do novo rela³gio de Ye há100.000 a¡tomos de estra´ncio, em camadas uns sobre os outros como uma pilha de panquecas, no total com cerca de um milametro de altura.
O rela³gio étão preciso que, quando os cientistas dividiram a pilha em duas, puderam detectar diferenças de tempo nas metades superior e inferior.
Nessenívelde precisão, os rela³gios atuam essencialmente como sensores.
"Espaço e tempo estãoconectados", disse Ye. "E com a medição do tempo tão precisa, vocêpode realmente ver como o espaço estãomudando em tempo real - a Terra éum corpo vivo e vivo."
Esses rela³gios espalhados por uma regia£o vulcanicamente ativa podem dizer aos gea³logos a diferença entre rocha sãolida e lava, ajudando a prever erupções.
Ou, por exemplo, estude como o aquecimento global estãocausando o derretimento das geleiras e o aumento dos oceanos.
O que mais excita Ye, no entanto, écomo os rela³gios futuros podem inaugurar um reino completamente novo da física.
O rela³gio atual pode detectar diferenças de tempo em 200 macrons - mas se isso for reduzido para 20 macrons, podera¡ comea§ar a investigar o mundo qua¢ntico, ajudando a superar as disparidades na teoria.
Embora a relatividade explique lindamente como objetos grandes como planetas e gala¡xias se comportam, ela énotoriamente incompatavel com a meca¢nica qua¢ntica, que lida com os muito pequenos.
De acordo com a teoria qua¢ntica, cada partacula também éuma onda ose pode ocupar vários lugares ao mesmo tempo, algo conhecido como superposição. Mas não estãoclaro como um objeto em dois lugares ao mesmo tempo distorceria o Espaço-tempo, de acordo com a teoria de Einstein.
A interseção dos dois campos, portanto, levaria a física um passo mais perto de uma "teoria de tudo" unificadora que explica todos os fena´menos fasicos do cosmos.