Os buracos de minhoca, como os buracos negros , aparecem nas equaa§aµes da teoria geral da relatividade de Albert Einstein, publicada em 1916.
![](data:image/jpeg;base64,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)
Domanio paºblico
Os buracos de minhoca desempenham um papel fundamental em muitos filmes de ficção cientafica - geralmente como um atalho entre dois pontos distantes no Espaço. Na física, entretanto, esses taºneis no Espaço-tempo permaneceram puramente hipotanãticos. Uma equipe internacional liderada pelo Dr. Jose Luis Bla¡zquez-Salcedo da Universidade de Oldenburg apresentou agora um novo modelo tea³rico na revista cientafica Physical Review Letters que faz buracos de minhoca microsca³picos parecerem menos rebuscados do que em teorias anteriores.
Os buracos de minhoca, como os buracos negros , aparecem nas equações da teoria geral da relatividade de Albert Einstein, publicada em 1916. Um postulado importante da teoria de Einstein éque o universo tem quatroDimensões - trêsDimensões espaciais e o tempo como a quarta dimensão. Juntos, eles formam o que éconhecido como Espaço-tempo , e o Espaço-tempo pode ser alongado e curvado por objetos massivos, como estrelas, da mesma forma que uma folha de borracha seria curvada por uma bola de metal afundando nela.
A curvatura do Espaço-tempo determina a maneira como objetos como Espaçonaves e planetas, mas também luz, se movem dentro dele. “Em teoria, o Espaço-tempo também poderia ser dobrado e curvado sem objetos massivosâ€, diz Bla¡zquez-Salcedo, que desde então se transferiu para a Universidade Complutense de Madrid, na Espanha. Nesse cena¡rio, um buraco de minhoca seria uma regia£o extremamente curva no Espaço-tempo que se assemelha a dois funis interconectados e conecta dois pontos distantes no Espaço, como um taºnel. “De uma perspectiva matemática, tal atalho seria possível, mas ninguanãm jamais observou um buraco de minhoca realâ€, explica o fasico.
Além disso, esse buraco de minhoca seria insta¡vel. Se, por exemplo, uma nave espacial voasse para dentro de uma, ela imediatamente entraria em colapso em um buraco negro - um objeto no qual a matéria desaparece, para nunca mais ser visto. A conexão fornecida a outros lugares do universo seria cortada. Modelos anteriores sugerem que a única maneira de manter o buraco de minhoca aberto écom uma forma exa³tica de matéria que tenha massa negativa, ou seja, pesa menos do que nada, e que são existe em teoria. No entanto, Bla¡zquez-Salcedo e seus colegas Dr. Christian Knoll da Universidade de Oldenburg e Eugen Radu da Universidade de Aveiro em Portugal demonstram em seu modelo que os buracos de minhoca também podem ser percorridos sem essa matéria.
Os pesquisadores escolheram uma abordagem "semicla¡ssica" comparativamente simples. Eles combinaram elementos da teoria da relatividade com elementos da teoria qua¢ntica e teoria eletrodina¢mica cla¡ssica. Em seu modelo, eles consideram certaspartículas elementares , como elanãtrons e sua carga elanãtrica, como a matéria que deve passar pelo buraco de minhoca. Como uma descrição matemática , eles escolheram a equação de Dirac, uma fa³rmula que descreve a função densidade de probabilidade de uma partacula de acordo com a teoria qua¢ntica e a relatividade como um chamado campo de Dirac.
Como os fasicos relatam em seu estudo, éa inclusão do campo de Dirac em seu modelo que permite a existaªncia de um buraco de minhoca percorravel pela matéria, desde que a razãoentre a carga elanãtrica e a massa do buraco de minhocaexcede um certo limite. Além da matéria, os sinais - por exemplo, ondas eletromagnanãticas - também podem atravessar os minaºsculos taºneis no Espaço-tempo. Os buracos de minhoca microsca³picos postulados pela equipe provavelmente não seriam adequados para viagens interestelares. Além disso, o modelo teria que ser refinado ainda mais para descobrir se tais estruturas incomuns poderiam realmente existir. “Achamos que buracos de minhoca também podem existir em um modelo completoâ€, diz Bla¡zquez-Salcedo.