De acordo com dois novos estudos, algo chamado 'cabelo qua¢ntico' éa resposta para o problema.
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)
Domanio paºblico
Os pesquisadores podem ter resolvido o famoso paradoxo do buraco negro do professor Stephen Hawking osum mistério que intrigou os cientistas por quase meio século.
De acordo com dois novos estudos, algo chamado "cabelo qua¢ntico" éa resposta para o problema.
No primeiro artigo, publicado na revista Physical Review Letters , os pesquisadores demonstraram que os buracos negros são mais complexos do que se pensava originalmente e possuem campos gravitacionais que contem informações sobre como eles foram formados.
Os pesquisadores mostraram que a matéria colapsando em um buraco negro deixa uma marca em seu campo gravitacional osuma marca conhecida como “cabelo qua¢nticoâ€.
Em um artigo de acompanhamento, publicado em uma revista separada, Physics Letters B , o professor Xavier Calmet da Escola de Ciências Matema¡ticas e Fasicas da Universidade de Sussex e o professor Stephen Hsu da Universidade Estadual de Michigan disseram que os cabelos qua¢nticos resolvem o Paradoxo da Informação do Buraco Negro de Hawking.
Em 1976, Hawking sugeriu que, a medida que os buracos negros evaporam, eles destroem informações sobre o que os formou.
Essa ideia vai contra uma lei fundamental da meca¢nica qua¢ntica que afirma que qualquer processo na física pode ser matematicamente revertido.
Na década de 1960, o fasico John Archibald Wheeler, discutindo a falta de caracteristicas observa¡veis ​​dos buracos negros além de sua massa total, rotação e carga, cunhou a frase "buracos negros não tem cabelo" - conhecido como o teorema sem cabelo.
No entanto, o recanãm-descoberto "cabelo qua¢ntico" fornece uma maneira de preservar as informações a medida que um buraco negro entra em colapso e, como tal, resolve um dos dilemas mais famosos da ciência moderna , dizem os especialistas.
O professor Calmet disse: "Os buracos negros tem sido considerados o laboratório perfeito para estudar como fundir a teoria da relatividade geral de Einstein com a meca¢nica qua¢ntica.
"Foi geralmente assumido na comunidade cientafica que resolver esse paradoxo exigiria uma enorme mudança de paradigma na física, forçando a potencial reformulação da meca¢nica qua¢ntica ou da relatividade geral.
"O que descobrimos - e acho que éparticularmente empolgante - éque isso não énecessa¡rio."
Explicando a descoberta do "cabelo qua¢ntico", Roberto Casadio, professor de Fasica Tea³rica da Universidade de Bolonha, disse: "Um aspecto crucial éque os buracos negros são formados pelo colapso de objetos compactos e então, de acordo com a teoria qua¢ntica , não háseparação absoluta entre o interior e o exterior do buraco negro.
"Na teoria cla¡ssica , o horizonte atua como uma membrana perfeita de ma£o única que não deixa nada sair e o exterior anã, portanto, o mesmo para todos os buracos negros de uma determinada massa. Este éo teorema cla¡ssico sem cabelo", acrescentou Casadio. .
"No entanto, na teoria qua¢ntica, o estado da matéria que colapsa e forma o buraco negro continua a afetar o estado do exterior, embora de uma forma compatavel com os limites experimentais atuais. Isso éo que éconhecido como 'cabelo qua¢ntico'. .'"