Uma teoria radical que unifica consistentemente a gravidade e a mecânica quântica, preservando ao mesmo tempo o conceito clássico de espaço-tempo de Einstein, foi anunciada em dois artigos publicados simultaneamente por físicos da UCL
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)
A imagem mostra um experimento no qual partículas pesadas (ilustradas como a lua) causam um padrão de interferência (um efeito quântico), ao mesmo tempo que dobram o espaço-tempo. Os pêndulos suspensos representam a medição do espaço-tempo. O experimento real é normalmente realizado usando Carbono-60, uma das maiores moléculas conhecidas. O cálculo da UCL indica que o experimento também deve ser realizado utilizando átomos de maior densidade, como o ouro. As outras duas imagens representam os dois experimentos propostos pelo grupo UCL, ambos restringindo qualquer teoria onde o espaço-tempo seja tratado classicamente. Um é a pesagem de uma massa, o outro é um experimento de interferência. Crédito: Isaac Young
Uma teoria radical que unifica consistentemente a gravidade e a mecânica quântica, preservando ao mesmo tempo o conceito clássico de espaço-tempo de Einstein, foi anunciada em dois artigos publicados simultaneamente por físicos da UCL (University College London).
A física moderna baseia-se em dois pilares: a teoria quântica, por um lado, que governa as menores partículas do universo, e a teoria da relatividade geral de Einstein, por outro, que explica a gravidade através da curvatura do espaço-tempo. Mas estas duas teorias estão em contradição entre si e uma reconciliação permaneceu ilusória durante mais de um século.
A suposição predominante tem sido a de que a teoria da gravidade de Einstein deve ser modificada, ou "quantizada", para se enquadrar na teoria quântica. Esta é a abordagem de dois principais candidatos a uma teoria quântica da gravidade, a teoria das cordas e a gravidade quântica em loop .
Mas uma nova teoria, desenvolvida pelo Professor Jonathan Oppenheim (UCL Physics & Astronomy) e apresentada num artigo na Physical Review X, desafia esse consenso e adopta uma abordagem alternativa ao sugerir que o espaço-tempo pode ser clássico – isto é, não governado por sistemas quânticos. teoria em tudo.
Em vez de modificar o espaço-tempo, a teoria - apelidada de "teoria pós-quântica da gravidade clássica" - modifica a teoria quântica e prevê uma quebra intrínseca na previsibilidade que é mediada pelo próprio espaço-tempo. Isto resulta em flutuações aleatórias e violentas no espaço-tempo que são maiores do que o previsto na teoria quântica, tornando o peso aparente dos objetos imprevisível se medido com precisão suficiente.
Um segundo artigo, publicado simultaneamente na Nature Communications e liderado pelo ex-Ph.D. do Professor Oppenheim. estudantes, analisa algumas das consequências da teoria e propõe uma experiência para testá-la: medir uma massa com muita precisão para ver se o seu peso parece flutuar ao longo do tempo.
Por exemplo, o Bureau Internacional de Pesos e Medidas na França pesa rotineiramente uma massa de 1kg, que costumava ser o padrão de 1kg. Se as flutuações nas medições desta massa de 1 kg forem menores do que o necessário para a consistência matemática, a teoria pode ser descartada.
O resultado do experimento, ou outras evidências emergentes que confirmariam a natureza quântica versus natureza clássica do espaço-tempo, é o assunto de uma aposta de probabilidades de 5.000:1 entre o Professor Oppenheim e o Professor Carlo Rovelli e o Dr. gravidade e teoria das cordas , respectivamente.
Nos últimos cinco anos, o grupo de investigação da UCL tem testado a teoria e explorado as suas consequências.
O professor Oppenheim disse: "A teoria quântica e a teoria da relatividade geral de Einstein são matematicamente incompatíveis entre si, por isso é importante compreender como esta contradição é resolvida. Deveríamos o espaço-tempo ser quantizado, ou deveríamos modificar a teoria quântica, ou é algo completamente diferente? Agora que temos uma teoria fundamental consistente em que o espaço-tempo não é quantizado, ninguém sabe."
Coautor Zach Weller-Davies, que é Ph.D. estudante da UCL ajudou a desenvolver a proposta experimental e fez contribuições importantes para a própria teoria, disse: "Esta descoberta desafia nossa compreensão da natureza fundamental da gravidade, mas também oferece caminhos para sondar sua natureza quântica potencial.
“Mostrámos que se o espaço-tempo não tem uma natureza quântica, então deve haver flutuações aleatórias na curvatura do espaço-tempo que têm uma assinatura particular que pode ser verificada experimentalmente.
"Tanto na gravidade quântica quanto na gravidade clássica, o espaço-tempo deve estar passando por flutuações violentas e aleatórias ao nosso redor, mas em uma escala que ainda não fomos capazes de detectar. Mas se o espaço-tempo é clássico, as flutuações têm que ser maiores do que um certa escala, e esta escala pode ser determinada por outro experimento onde testamos por quanto tempo podemos colocar um átomo pesado em superposição em dois locais diferentes."
Os coautores Dr. Carlo Sparaciari e Dra. Barbara Šoda, cujos cálculos analíticos e numéricos ajudaram a orientar o projeto, expressaram esperança de que esses experimentos possam determinar se a busca por uma teoria quântica da gravidade é a abordagem correta.
A pesagem de uma massa – um experimento proposto pelo grupo UCL que restringe qualquer teoria onde o espaço-tempo é tratado classicamente. Crédito: Isaac Young
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fpmgpqwdMhh0on067WSrH/zSq1GMz6apFasuVDnqV0VnOInk5yfcB9zVt98iWfFjtI5xMTEooNrYp04fW8i/fHp3MdOEgRnlPwfwNR+OZTNuIZZn0GZU+09zsysp5n/APn2TBwjFS+oLLuygqm1o25R3xUYwCIN4u01ixSFOmIJWtDOis6Sy8DLUqWevbNh29NoVxNs2zS4z0lnRWGtBNViGUad3jgVLB7/APRn+tSQbf8ARP2v8Y5xMQCcaeixzaxqVR7WVmwb3z1bClH4/wDAv+B/NaggZn7Ubl6c6c6ZiKVjLujLPKAc/t+yKQSEKzLKEuc+m05GcAGPlLOreILWg1KrF19EGt08+opaMlbnoCHRlp9KwPQsw2kJn0bT6fEVUWdegT6ygRtbRDqFaGx517og6jT/AEuMzeVl7MbQTn9EVhRtmJiVD7usbM0TIk1Go3kwcL/0xxT8P8C74Xzup4fDrBtKriuLbWZvTAsXG5cBkJe5ceJ+/wB3AGtMxeZiVLyBCWgP2xGRXGqr6VwdoLGE65nVQzdSZimbaoFSbFmxZ01hRZiufam6udVZ1mhZjMmaWrq3KqoISFCnuJwB7X25U7Vvc7mXLVqim0pAcjxLu4LOiSRXva9uRuwWMp+D+Bd8NmZUu6Alo69u3E3uILnnVeC151nnVYz7hiiEcWD7VYi+6VqZ4nbBtEXBGJqhmyxYO5KwCvAgxkCqGmvA0yMOlphClM6WnM+mTHRr2BK4+2YjAbfCKs0XFmI+QLHzF9+OPBUMxbKiw5ax5vbBYkVA7Z4hUGbqQLNQMAFyBmA5lXxfwLfhuxNMQpVdsf2f4PMtUB8TEqrUgKBG9qkQ5y/tUEqLJ1B1OtWJvVpgTZmUjhu1bmAZxF7QeE2bzs6Z4BUdNFps1BSmoKcGFUIs0xSEb4+AQC02BJwVIzWo7aCMrh1YcOAsBG8czad5cJTDkx0wPMTJi0Ntas+jIFOzJXQEx69gc7kIa1Kc9H+Bb8WpETMQSwdn+GlnLAJMV503TZbvsszAxtu0WuJ17JXXY8WjBupJY9JZXdZMkQb2CYBdjLNpOMjxHwAjhDqLupNON8qU324KwKBG/Ixxgg6hOlLZp7xXHcEjESLwi4BqszGtdC9gMzmC66o165DLquoejZEQhGoyemoFKILBes1N33C+5lilerbrJY5aNxX1jt0/Om/gW/FuYlOIFci5Sqf4sbJwfTlGoKA3ahssuG2mbZiYad4m3LKolSlbeJezVx7u2y7cP9MNvoV3I0QNlW+1pwqV1gYJwDYDqlbdHAZX2MlnCMTu8lRgL7q/aBgpZtNV4KU/dIrUxhhrF7NjIGstDbnm5s8zT1NOUJOZWCAEYRGC2Lhw5bLnEfcHo/H/AIGo/GBIgsi2PLHu6mCR0yDscTDzvlZebR1G1FASzUBoTOJxkmHE3TT/AD6tLsp/5CbKHLVXCZUEGDAOMMtO9r6iop5iHsT25xG1P/1A5B8bjtv81VGyGnYdvc2J2wMMiu5z06Ej/wDkAJpFuLaj5CftkbltH3cRAuatNS0agKloKkmUDE3ElsCM3aFYSzlgfu6f8f8Agaj8cGZlZM1NVjzmZebnm+ydW6VvaxrNVj6mnpN6cT9kQxUg7CDma2kW2su1kvtSDXWTr6doBpGjBFqpaqyj4qqZSSUUgN5H03/1eI3h2KreYF31Wvp/pqwGp26ZZ1tMkOuePfa8ALHRVIl0azvZQyMpAuGbRO7NS5guupmaLZ0AswojMhm5YtW6dFgTRY0C4so/H/gX/j5gIm6VW9NlorafS1R00qRh3T/Pibz0t83ib1m4TiblAV9w09NjWeBqXCWFgGK5Tajjo2bccqjNDuWPa3RpPdS83RrNidUGxLA6cNLnObz3LefpuWLIV9OjZgbVGAIDmaWzq3S/TCybLaIl6tHPfkTeJp+5X9uwMbUZUw8wZtmlu2LZqmz9W4nX+5T8P8C74OlOnF0+ZXp0rlmrrSXa13gVj6GDwfA9q1ZnRENM6ENJi1yqotAFQZVZrFZ3q4G3D5RSBbuwQu8zJL6j7lb9NQh3CqwYYlx/qpjXW9gIdtgCiyacMlLHFnUbBBI23Q9KH5GOF0qsloKuARlkj6dc2adw3QMNMoXao7UON93x59T4wZiBWJq+L+Bf8AtWJZVh9ZiPc7zzAvHoDF5JztA7K+V5YYxMEzErpOcsD7RS3UlrfdvX7rkzqHIZlbPaV3lNO8K2NME3f662ZY+YPKtsnWCAMeptIt6doD0neq7GzmbsjIgaVqWKNh72wow67mSHJhBMaphH8rarBqwYwIaz4vWivSsq6XTTo0LLDWsr5q/gan8WczYYtJjVqKj7JsXG2LwbCNg5rrG0qCYtRzsJdEAncSFxN+YlpqssG+dUrD02hqWdN1nAHRVYl9NS/UMXdMIU2M3tPPqDFU2Gtd1Sam1Xeyq2bEJM27p04AizqSoES6/ed/bw68rCMwhhNQp28FBbsdbFcahcVbZtMxPEW6yuLclgKtKvi/gan8aIOHlmJuJDeGfADMSr74MmbligOWTpxFGDWGgEO5oOBcT0xZmpu5dzBhfkEUw1PCrLHbIdmj0gROm8tt7Pec0hfZN/by03abbjDV28P01iVHajYZTiZJm15hJ1MQszFBOpNLnoYnKzE6eJZpdrEq0UlWsuBq3ibxN83GBMVkcrayGo7qf4Go/GEVo/IVJvAhOQwzELIelabOjZlk6TVdFZqPevnxMO55hL7riF06WFW4sjrmBmihYVIm+xYl67upW0xXjpVQUVmDSrBo+BouPo59H2to1IbSiGgCdKuHGB0hLLlL72M5aYE5AVRj2R7JpyG06u+85mHQ8zac26dbY+netmPG3M2QJmdKAfZYruKzT/AI/8DU/jCf7XhQpaMtYQ4wi7jWhW8jIxga1dy0VMJe+22u0tC06hhuwNLbvOuPZZ5G7atpwLVm3dGRZ3SwZnZNomw5Fc6Ri1ZhRhMCYYjptBWxjUsJs5Ix6KsBZYqzZCyCG447tq8nRNiMgeLCMzYa4PBQZI4s0+Qats2zZOYPiPzFJT8P8AA1H4wgG584JG2Woqxahm1tr13Hdc7C2tm6aPWwGDL6WLUKwAUvLAK1LG011pWurxh0ye9ZzkORA4gtadQTdXMI0FENRMFaZ2IIRBzOmQ+DvJJhrSbEz0i0+nM6aifbE3rOq8LwufTLsEQzTxTwRkA8zbgww9sIDQpibYVn/I/NwZV8X8DU/jCKcMeWXIm5s4Jn0+6LSqyxFrSvUASyndcO1ckyuvYr2CtXsN7r4/VqElljLOnDXCuJtncJ1DOoJvWBxBa4nXunXtnWadUzqmdZ517obrYXzN6zqCdQzJ9AmYKoaoqxRFTDIOI9Cs8EKMoXJBXI+n2MMGdNYy7Z/zYKzlipp+H+BqPxooLF1xA5ADElG6UDBhbbg13BlevFqLsVNUQKrFsZ3CLfcbGqml0+6eY44YTGZiFZtjLBVOnOlOnz0zNhm0za075lp3TumDNpmwzZOnBXNoipwomJiYwRFinb6sMwH1B5hE3Eeh9jfLulPw/wADU/jInqBCwEc85UqW7t2VocQqWU1KXUJp6rHe+wjupUb6WYjMdwoybW6bQgx32mMefR3CxDkcTiZ7uJ2w7d+Fm0QgYGJxOICp9Gbhc4c4CtmdRRN2Qtg3KRM8LqhvNjTecPZapS9XmZ5gtKzdDggtsh9v/YjMp+H+BecULbXZDXBCcDklTRtvqw+Oeoqm3uK2WiLitbLGvfTacUrYoS2rOV4EPf6GNwGEMA9XGf8A0U59MTHfiYhgJz6AYb/0xCNwSYiQQVgWA+u3ac59c4mYY0I5Dyr4f4F/4+0GK7VE4tXwbOG3xG3S096nEXkZVBZY1raXT9IE4BO+6ohUyY1jbhmEmZOGdmJJMfcTzO6d0QljDxCwlft9P9+lu2bu6v2x+JkzJhzmH0w24bpuet1M5jF1iuGXmZaWM9ZBJHM5jF1gY4MyRbgNKfg/gX/jjy00/u1Hu/x+l+N4vuXxqfOm8x/Oo+fT82GJ5/fo3j9H/wBK/bNTB4r8D0/6Q+23yfjo9LPH6Hgz9n0EWN8ae30r93qnj0Phfe0/6yj8f/8AB//EACYRAAIBAwQDAAMAAwAAAAAAAAABEQIQIRIgMUAwQVEiUGETMnH/2gAIAQMBAT8B8D6NI/Ov0VKnoLpvzQIf6yCCLJWgdoII8K7q2SIptJN3+qggSgdMZGrJn98S6nrxU3Vkis9Xp8S6nrxUmmTSyDN0QzQceJdT1uexcEwKtms1obk10mtH+QdbEPerLsPemacXUDIKVI4RO9WXWdqUVLelZsiCCr4KEeiqnZEmi6shIfWpI2pCpSJJIllUehNq1S+EwinBhlVMWpHwMRN0VdObMV2NWpcMrqbPRJ/wlkHBLKhM4G8WXIyDTaLT3KrJzyNFKFnA8CE/RwRJBC5G5srSTaew7zZMY7JWqr0smR25FarZJPXfl1OBDpTE4MMmyHKH3Wo8cHrAmIZzdiMMyPt1eJDKBpbODJAkrTjwofSq31XSkf8ARUjaG5yKfZq+GGVT7J9MeURHI1juMjdUOyHSTAqkYMH4n4mDA6hUtlWO2x2VMn8Gr1bKMqCWjSmsCMGDFktRVgpkbzdqy2J9JlQik05KhiTbKxIatRwVxzZcmk0mkqWLpQirkXAx7EpNAqXI+j7KuBCqNY6jAnBUxEjKVFtJpIYkOlmlmkxapQLizGhiHhHDKjVPR9lXAiCCB2qWCnhiGUk+F2YhWwPDP91gVH0qqzjpeyviys0xU4zaDgcWjZxfnZA2ReB0oWBZ5GukjA6fhDMiI2O6+Wps7U87JsuB2Q0Rd9GYNQskMyS9ko5IwaSCRfNlP0doFSVImB2VpEQPoohEk3d4tMFT+DEhjckiyT6Hxap/CR2gyLF0pIY+v7IIuqmjUjF4INJSrMwjV82zskqfVSNPsSNJpY7RfUaiTUSajUN2i07HJNvQ+rA59WRVUMmCSbYMGPt8GLySLbBFqn0oIETZDd42yTaSSdqV521dFXd29r8y8D6K2+t7utr8r8P/xAAjEQACAgEFAQEBAQEBAAAAAAAAARARAhIgITFAMEFRYVAi/9oACAECAQE/Afjfgy8D/wCFk68D8a+1jRj/AMJfKyy4bixOLLL+L8i+L2UMc1K9b6hfWyzVYsrLioW5y/E4Xfye1mOx73LF4XC72Lcyyy9tmo7+TF4XC7+dDwRoNLEjTkaWaDSh/Ji8LlSt7RbuXc5OhWytqhw4XhcqMmYve4RZwIdn6J7LNcuGWLzZF7WarKKs6Rjf6NQn/SrfBkcoxyuGLuGVLMfHUIcoTh8oxSU8PspGqjsWKMSormGIs1RcULypbsYoTGzLjkTsY1+nZdFwlUOKKjT6EPY0IUXCxtFUcnR0Ou4Wyity91IbFlQ1Y7RUOFsW2ivGnfzuGMX8Z1t6OBfFeLH5MRkJ5R2X/TuLG3Fc/JeLHepboQ2ISrgdfhRyhV+H+ovksT59i7L3IqdR2NMpnJyclOEh5JC59aFGWSR/osrlbMuGUi2hnJycw+DFX2ZUJcSnua8SMYzNXBiIbSRg0NsTjMwvqGajWjWYuXyzFcDELZllRrHkqMfC+jHuGjQJHJV9mKGUIbOTUzUakPIWSHki2cxiz9hCcrnkXKMeTTXh/Bdj3LsyGIf0Q55O0L/wzV/DHHjnxfhj3DhMbizsUXvWyxIubFkxj/wTYvCzkWRaOBl7aj/RmXMYq4fRc1DFDYmWKF4aNI+DUikUtnJ0auTUWVFCh/wxix5CZVih9xQ+C2Lwstmn+iUpzcdmK/ohsQlRQ+Cv0XcY/wClChMsfIu4bo1IT8/4WXCNKZpZyVFxZk4Vo5Zp/pQ4srY8UzFV46hsWf4NlmpCi50mkoooo0iVRcVNian9MX5GzVyKv2GY4UIqKjk52cnMVFD2pln6YrxWWM0jGY4jcX93NFbMfC5ScpVtX2fwx8LPwU/oxD2KXtW1/DH4/wD/xAA/EAACAQIDBgQDBwMDBAMAAwAAAQIRIRASMQMiQVFhcTJygZEgUKETIzNCUmKxksHRBDCCouHw8UBTshSDk//aAAgBAQAGPwL/AOBPysrqOkWk4/UbwoVKfDXgii8KMkdOJk2eGtOvFlI7qwvfucC98NS5SPuclhT6YXLYNs0Fhe5Y64W9sKS1HjY0TLsqjk+aLlUfuMkyvAzIcTsxDH8Gz8q+Q7TyvD7TgU9fgeNBRQoR1Zkj4mZY+JnUyx/9fBXC+FWZY4c8KuyN0sjU4lVwZrvFZWqzQ1Lo/wAlisSkrPCj1/2crv0M0Cq8RlfiQ9m9VoUYyI8O2Oz8q+Qz8rFPgxwl6fHJjkOb0Q9rL0M8vE9DNLxss9eOK98MuPQyQKsywwtdly9jmWicCkr1Mt8ldC1sLxqXTRuyrhfDLtNOZVGWWp0xp8COv8meGgtrAW2iKceJGREfw7Pyr5DPsPZztxQorVjnqUwax2jOshbNep+2Jnl/xRlXqyI8a8saLQyQ1M09CkfCVkUVkcyxWToa1LQLRRvUPtOGbNp6FmjQvA4otI59zeVGWdcKPwlUZZeL+S+mPfCgiRR6/wAnOEh7N6PQls3w0PKL4oLkvkM/KxRktNGQ7ks3gmLFETuxLhFGbjLQy8F4jIv/AFgiRXDKVKI/czPM/aWuyrLuhuxr3LuhoXFYboUi3KXF1KfawoLO3Gf0ZWg8NCzZvRqbjozeVTd9i+hmgfuWpRlcK4RHg0/Uy/mjoR2vuSjwkjs/hXci+nyF15CnHiJrufat1JS4LFESJTjJluyKLUrghnc7Y55GeehV2gikLI5ssXuz/HwIezk7ceZLJK3LmVrOhH7StOgtnF2GPHnhe6Kwsym015nOLFOBniU4lCgmRHhmRWOq0HHhK6E+MbE18NNK6EVyXyGflYouVUivAhOGm01RKD4qnwI9BvlYc/Yr7FRYModypV6H7UX8PIrKy5FIqiLpmn0PCXX1OJ/jBH2q14l+CqZcvqWumZ5a8B4f5P8ACP8AuaYWN9ep+qBzgz9rKoUkJjREQ8MvsVWmqOkj0FilgqaU+Q7Tys7C5w3Sjuk6octKupX4G+glxYtmvXBofQeFBLghQQtnEotC95cishriVxTE1phvtFIptjU4qPcdNOLNTsZIwr6FJQcSzKcRt3+CvMorHQrH1RT8r+h9nLVaD2b9BxPphEiimF9RPjHBYIsOSbI9vkM/KyVVyJQ5nQzQVD1xR3Z0iivPGSJDY5DmxzerKcXqfu/g3ilDNi0UMvifQ/SjedSkUkLYx8UjKun8mn5xxVrunuZHqi9zkW3jLLdeCRTCplfqVgdeK5nVaC2kRbRFfUqRF0xXU2kOaqRYvgVrtEPKvkM/KyXpgmjK9BHpjAf73hTCPUmMS5ih7lfY64p4dh0Ks/TAtri2x7Wbuz1X8la2znq/5My0d/8AJrjfUrs3mjyOTKsS5/BVan7v5K8HqS2b7o7CIEnhTDZS/wCJJcmLB4Zb2IL9q+Qz8rJFxosu5QWKfKBGPJCa5YroyZBc2dInWRU6Fnb4KnNmfbXfIt8EdmhJaFNo7M/sJbLQtrG6PLbDmci5n2dpmWVp420WFzSh/JXjA6SRJciA+rxrzZL9rUifuLBmUyy5oVNPkM/KyWEq8iY6c/gfZIl3K4sn2I9Eea7MzKj+HrwPtJXb0OZz7G9OMTcU59kW/wBO7c5D2sdjWvUyS2eT1MzbbfM8TzdxTi6TGtnBSSMv2acpflr/AOdTf/0r9JG8pw8yN2SkcujOTK/m/ko74aFlgipmWh5CXVEOwvgkucRPnDFlS/NfIp+Vklg+xMffDSp+RFl/Syta1GvgfYfthlXw5mV4GXhoUKQjX+D7zaW5RNF3ZSCKfqFEj9nqhxlGS4iuKGzub6uQmldClzKM0Xobk8y5SKSTj30KHT/JXgZo6FcKjMstGU9Bex6PGpTiyulCmRLzM0j6YOnLBd18in5WSTVO4iT6E6nqehTCq3X0KS1oN+vwsqVfPBYUKLwo/aSXO8TNN16FF7IsqI3mWIxWkV/5/bGSvU4kMHEaa0ZQ3JG/GpR/Ubg6dBJ+LVrkW0P2spweDGVM6Pqe/wAETKnTX2P1dXxNMPQ9Bd18in2Kw9hEudCZ643kVi06FOZ9BJ6jxiuYojERjhkWrKcOJV6DKTbX7jNN1/gth1NptOeMpTjdLUy5d5VqRlGN2tcZR/V/5/nDqi+hmg6deBl2cnJ/q/wdWWOhkfoOL1JRGLqZHxO1h45F4q4V/wDKF2omv0GPtgu6+RbTysQn3/klXWhM9S4jRipxdzeRXqbvwdkZj0Fg5vRHVnQubloxKTWUrFtdUXSf0N7MvqWnGvWxl/ho/N/ScfYnvrQl6/wR31oeI/N/SyM1RU5v/wA6nij6XLZ39Ddil3uVnJyKK76EZzVmVjdYW1WgpnckRKkuqqPG5WWhbkKXFtoeD7DFXmvkW18jEr6kSVeRPFMciKeghxG+T+CT64Ij3GynLXDqTfQ9TeVj7qVC+zzdijrFmqNPZn5jxzPxZkv+X8C+9mfiz9y+Zl/5OBRX7FtnTzH3s/RG4qDI49xdCffHZ9U08FgmKK4EuhKispanMuS7DOi5i+Q7XyM7SqJLkStwJDxkQ7Mh3I9RrFFO/wDPwLGhR6D2U9OZRYXJZlVRL7JelhwnXKi0toj8WfuSl9q7LkS7Ph0YvvuH6T8aRec2QhGuWXUtso+xGStXdK4rZQFDgUwqMl6Y9p4LCKJ9ifc2nmPQRPsNvQ9yHlXyHa+R4s2j5DkyqH2JEOzI9yJ6HqOpp7HL46lTe14G7vxJLJfrwN2cSWeSlmfAsqdydXfDVEo1vJUHL7RZnwaZFZr0x2frg4/V8Cjku5khR9SlPs0fu54JieH0wWFrnHH0J9iXmNp5v7YIfYjvNV4I6Gz8q+Q7XyvGi5E3BtOl1g2S7EjZ+pDuRqemDeCVKfE2JHRFS5vw9RxjZJkau1SptL2ofdrLH9TKz331Hs6V4USK5Y/1ChLZpcLo+5m49NUffQt+pGxo+eDydzK34mWjXq8Op3HHBfDl46qhdPF9iVf0kvMbTzf2NOAjuPoRRs/KvkO08rLC4qpmjcotGKiGOvIkQ9SBRXsWL88Idx/A3jX4G+SHOWnEcaEVKuUipZTVFK9xSVq2XQq5Opf8uteJlcq8ng8qUl+kai6RRR7zfMi45lRV7imuPwV5D6i+FKurox0xfVUJp8h0J+bCJFczpoOupDyr5DNftZ0SL9isS47mg+wyFepEdXS3Es0XPUh3H3/2rX7ElGlaU1HldGy9+5eKd7GfcUuxnlt9pXkj8Tat+YvPaf1Hj2n9QktptHLufizr1FJbRSrpuIc/s9m2ye6ouT0RKnoXpYjBtVRe3wI9SXuZp3N1xS6IrVMT6kvNhcq8O5Pzf2EJcSLjw4jdb4Q8q+Q7Tysyu60KSLYStwHQtyGQ9SJXWv0HTQsNp3Vyo3zGemCXwVskuLKQWfrL/Bvzb6IpQUH6lqp8x53WnIrTsbyWUVGi9nzPHD2LaviMrBJruZo1FklrrUu5NjVulBpqp93tHDoz7yNOsSqaa5/B3x81kiBLvhUUqmor1JN/q/sKWtFpQVxV0oXo7FlapDyr5DPsPuimq5M3HlfJjjNPoS7YVpQZD1EWNEUKURTCXY9PhvpSrKy04LC9hRjd/wBz93ErUq72ojxKNOhSip3FVfU0p9Cv2qcDwjUaxfmMsEur4DzZXV11Kr9LNxo6mWW62aV7FtORmh6oVNHdYemFmMrxI9x98LMVMnvc0MrJpcy3IUnY8VSjdhpKy4ke3yGfYfoUd+5uOnRmWatyY8jyt8GOq4CTGoohXqK/DUbpfD1ws2WXEl2+KS6JnTmWVXzKvQltZcBz2VFXVM38qROENFwL3Ms6O1Szon6tmaCcF+qTM320G+sSso+sblYyzLpwLcb2On8GXaaNm7SSM+1pbgLaLUUloy9nzK/U2fq/TGuDKCpqJS58CzHW5Fobr4cJx41NBN8hpK3M/wDsl9C+hDyr5DLsPuhMpqc11Nx5XyZllpyZWFnyeCUtb3wZKmtCyZxFmjvHJN0JUKYNdTTBbSGsTp/GD62I9b4VZOUFVVw3NR545JPWauJK6PzVN90XMrsIby/MysvFphCUtK4y6XKfpdMN7w//AKJbSfGyObNFhG1bDrCr6Ee5vUqO5QorFM1hUlUqoalZUzcqHQUp+iP0w+hbeYm3bkQ8q+Qy7DWV8CIyVTdvYa4Lgzds+Q/tKl6GrXqU1KczQ0LfQ3loWZa7EN9cKF+J9rsnYorS/R/gSQkVZbh9BviZdaF0Xim+xXZPvF6MeVfe/wD11HKbzv8Agbj+UVEX4mVKjzfUo/bn2K4TT6FHeX6P8n2m1di1vgixPQrX2N2HuzVL0Hv8S9WXiJ7TaXK1k/UqWRvb8jK9ORNSYqLjqQ8q+Qz8rKpunOtSOZJP9SHK0q8h9xX/ACm0zIjlY4TWai1NCgnpysVLOxdnAaw1qKv/AKJYPC5n2PtyFs/9RaXCZllfk+ZGK1ZlWmg275d4bbuURpqOOw/5SPDv8xR2tpcJf5KUebS5veIUo6cUJIy0y0KcikXTm+Q4bB1lx2hn2tafVlFZYLCWObiWvUVbIdNSrdiiF56EuhVqw4RsqcBSb4iyLgbTiJJceBDt8hnXTKzMt2hWiRZlNtGpXZz/AOMiS2iytkCVf04PsbPzMkpQ04lpU7o3fozkXHhIklQqP4MsdXT+59jt6pcHyHnXC1D72Ldi2s5VE1JV5HE+yrRcf8D+zhldNK6l9myu1VW/QyRlVrwP+xepVcNRN2yu5WDrxG4pX5s+y2PqyMZUbv8AAsGhchjileuFqvsb1I92Ucs1OSN2NKI//sNp2wnw3RPqRcFZLUeeWavBFIRUIkPKvkO1p+hjpquJelfYVXTlXCzoUe9Es8j+g5S0pqhj7Gz8xtKxrYXOpLK+FRX1N6HsboqxqJwVK69T0PT4G4akZy4f4KTouUj/APj/AOo8P5Zcima5s1wy3/k0ubviehez41JN1rpUr7EKPxaius+qL68aDq3Vk1qqCytVlw5H2Ox8P5p8zLGnfmfaGeXHTGOCZvVdOBuxSqV/sPLBW5kazdxN61JroPt/c/5E+2EpO0WqVZlgntH1LunY6mbwrmyHb5DtfKymCXI3JG/D1ifdzT6F1QszTK+mhrH3IZl+Y2nlI9yXDdNn3JW/MSF3EUkqdUdKa/Bl5i2cXT/0KU2qIlyd0hbLbafllyKccqL6EX0qUkqqtKicbdDwP2Ky00JVehLL3LK5TjJM+x2P/KXMeZbkeHMTg8vQ+ybrr/Yy8FihstdjzXZ/yw2nlNl2F5id+BVaU/uX2kdajvqbivzZWUqm5GxvbT/jE+6go9XdlZyb7mzf7V8h2vkeGRevwVs+gqacmfpNdSzwcp8eQlmkl1iNqUXampHd0ZLuSPUWFj9L+DZv/wA4nXkRdsy4IpOr4dj7HbafllyMskRfSgso5Pgiq8RWPFXKSJewoqG+fZbN3fikRtRotuyeqlxORtHy/wA/9vg/Uy+L82G08pC0rISbjG9bsc89a8olIZmurLN16HEu6dzcjmfXQlndXwXAqqLtjsvIvkO08rK8y+G8UFTV/BVWZvVLT9zdo30Zevrhd+9ytjiVroWaeGUtKxvOpcg46xN6f2cXwWr9TdpRO505jz6H2W2vH8suQ6051KbSLv8ApNzaxt0phne09EUhH3N3hd1Hs9h/ylzIqL6kY6U1EtplvejK7OeZL8pLNrN+pVXKKxvSKc1jefsf9zn0N2NOyobz+pb6Iu16l5V7I3E0+YvFWldR4VHzRRiouBsvIvkO08rN3N2K13qaY5mVxrWhcsaiTuzV+4736l4x9yyZ/wBjWhTLU1p3M8UUG+X0K3hDnxZJRVBVV1Y0P2/lb/glTXU31d6I+z2t4f8A5Ms/C/DJY2MsPD+aR9ns7bPi/wBRSK9BV1KK8a78ufQ0O5CE1oitXOPPihOvqc3yM71ZeVXyRSMKLnxLurNTieH3YnFpeVF5SfqKGkkbuCjwZqxUwqZiHZGy8i+Qz8rOiN2tCqde5eKYldX44euFMIjqsE097BOmFa+5oyidC8a9jdk4lHS/ErOLovCuRZpks1kSf2l30PDf6DW0hu8eI/snm5ftMz3q6nLuPZ7RV2f8GuaD0kamuXZrVmSG7s19ThRFdHzI/bSol9Smz2UsvsU8L6ibl6MqtC8kVgnlfiXMyx9CkpOhaPuUqJ/wWvhK1CxrV8cM0R0S9TgUlrgsGtRRIeVfIZr9rKRHlXA0rzPANjawrkT9Cqg12K1FRq3UdsKYRsepGJSOpe8i+vI51E3o6xfSuLjE5dzWxGjuicFCG94pSKVry6lZqZfN0Gqbr1izOtpucvzdhWpFaRORu6My50ur0FspQjljfdZe7ZRHF1Ixb0WOtopR7lKUZbXkZWZJDjLjhtEI6YdS9Pc19kWjW3Evgm7kcvBjkkQfT5DPsVn7EqR1Kp1K0vxXM0KLDQ8OpVpl0cC0mjxilb2qeFf0Ibyx9hT0TK0GxyKF1un69lwfIqnXsWKUrtOhlnz1RXXoXV0jLJVRTZtbSHKRvbKST4VRuVffgfa8eXE3lll9GW2Mn3kUnl2cOUDLBUR5kmVpQouYllptErlyrt3N2sdnxlzKJWMr9Cv5okZIUkiqNJVPy06I0L09j8RsuWj9CqTK5K05lafQvphlXufd8tTZ1/SvkM30Kv0wpKqZf3Ov8mg8acSn0RSkaciqXpyNXfqalc3Eat7H/c0+mOiFVpckKt62pzM/+nqulT7yN+asymz2iTeufX3G9rXpluVTq+rI7Zdnhu3ZX8vNldZc8L2lzK6x5lJWZV6EttPjZV5Fp06JkZ7Fu367G/tI5lpkuymyjTrqzPt3XpU5ZbUHFK1DwfQelClX6MTymhVs8XGmNX/7LRjTkUVnyeFBV4YWMq9cNn5V8h2j/azmze+hv+5zR+3g+WK5HX+Ckffmb3sXisvQrF1wrQSsPCilc3tTwlDe15ks16cSxe0uZScfVG7M8bZvbOD/AOJSWyt0kzN9nL3qcfY1/wCk8X/Sa/8AScfYr9nL0dCi2Nusmbuz2a/4l5tdjenU3I16s5y54K1+JbiSNMKynR4y7iK8DM2eGxa/TiUl6MZ64U447LyL5DPyspu/8UN1S42sUon/AAfh07M8MqMpf1w1sZY/+zLHxc8c0TNE6MXd4ZVjRj7Da1E48NStVHvhSSqiuz9ikZqvJ2Zv2RojwI8B4PqeA8H1PB9TwIskVhoUc05clcrtfYolRYanJ9DQfYqyr1w6FSXphfwoq8Koo/H/ACU48B66l+BaUvc8cvc1ZsvIvkO0p+l4OvJ45TqixdSN2Lr20+HoOHPQjXqZsPCqvjjXpg3GxRux93NxN6KmuaKVcX1MsqbTkUvkWhoXgy6oWXvhctFs8DN6kTTMv5KRpE8VfQ3IUXORvybLJszFUOnIXKONa6mUa7CXFlOC+GvHiV5iRUywVqCfM2XkXyHa+R4O/B40M+1t+03EorHfiu6Kq6+FVWgorCOLO+FaWoZEtMHyfEzKxGc4Np601RubRlnh4V7ngX1NEal5G/Nm0nkcf011MzmJPng0zOmUOg7VNHryPC8Iq9BMmivT4qfqJXpVDx8Js1+1fIdr5Hg+zx+1a00+LJK6ZTCmEFZ1FuUZZHAuaHhNCKKJb3Iz5KVN525CTVjw4OatPmuI1mVug2aI4Giwis2opayfHCtKdiyN2VOhmaVFzMskkKOCsziUvgqrgXVTwxNCnwqTVS2yXsXglhFPQs37ke3yHa+V4O70eMV8cXxjj95W/AVnGmjTOF9GUWiKF9V8GePDCjdjPW+FsJLbKVODQ6bSleZRbWJbanjKPaFHIWaTsRjsovLz+ByeqKKyR+6pnfphAaw9S3+x0LK/M1KS3l1F9mrP6Canfqh7R2pZdyFf0r5DtPK8Hc0tp8HEvUpG5TBriWNGVKVI14FU2eOXueOVe5rJl2a/UqnY3Yyyoux5s1OFC2b3OPucfcnH+Sg6cCqfdYX1xhGXU4/1HH3Pze4stadblKieV0fErJqmEfgseg0+HxJcShdX6m6ZoujKVqjK604Gz8q+Q7TysaPQvfqX+LosH0xrw5HC5cseKr5UKs0FbBrM4M8akupfYwfahvf6do4o8bPxiv2/0Lf6iHqfi7N+pWLX9Z185+WvmPxIe5+Lsze/1CtyR+MzxyZ4ZM3f9Oz8OEe9CmdF25P+MEMqaFBsepvTo+xuuuMe+DlLxcDpisIeVfIZ+VlFxKGSSN6aT5Mqtpm9MG1T4M3sU549hb31+G1hJa8S5SSTKQdsLR9i+b+S6X9KNIezOH9R4n//AKH4u0/qPxdp9D8XafQ/E2n0PHP+o1/6zSPuWUfYt/8AlH5vc098KTvEpFJLCrHhzKyjcllS14iVEvQouSOZVWfbCvIZlrR8DeaodCwnSPseE2flXyGflY2uBZM6cMKpnikeM1+iNV7I1Xsjh/Sitv6UVbH3GKvLDUrh40X2iN26wk+WF8KtqnLUo4qqvRx1KZFUqoGalI85H5pdj8LaH5o9yyzdmVSqK0S0HXoi7/sVXMqXFhXB9sLn3bp3HWjq9UR7DXbC7fsXw6Yb0fqUjRIzPQ5JcTchXrIh2+Qz8rOrN7+Clx4ehax4keKJV3LLC7oVjJ+hS52Mub3KS0RrctpgihVji1VlsOjZHLy0E+XMzSSPtNtdvSP92Zto7G6Q+71KNGbZMrG01quYkpZ6jyqw87fYlRUuelRalE94zYXj9cfC/YyJXqOPAjRVNVhQ5dy1H2w1deSJOeiM02olFNOguruR+z4akM2uVfIZ9hMW/T1LyzcNRnqX5FS9TiOPCWnQpL0Yt6KKraJyNI+54X/UV0XIrWrM05pHjcuxk2e6i7LGatX0Mz+nAq9Cquj0RcT5ltNTNPwwuOc7oSirP6FiC6MoZUt0zxMy4krOhVlugl0oVMy/kzReuqfE0eXqcSyKK8UUnusc9jJGiMrqeJlLFeVy7TNbFpUT1KRNbIo7YQfT+5k2ZsvIvkM+xctX2M1PceZC74X4mgm42KvNFcLGXdaprzHQ446niF9pItzE2uJeNW9EJ7SH3f7eAmtOfA0SKsq9RdUdUU1TdinAp+piqNqtypF8KYXNBoVf5xrXwqorVsbtUXlGvOhWT3eNSUobLc4G7quDwdUJwn6F5P3NcZNaUuXwiVdIl+KG9oyhs1+0puu/A2flXyHa+RnhZ4ZHh92S2cstuBcrX3w8J4TXKXFWCcqcikdnFehc1xVa6G7u3IsjtNlquBl2sTN/p9r9lL6FZbKO06xLuceeZalpRfqZG1zT5FPYrXJTUU4tOPNC7CsK1CrM1OpVYeAkVqkupWzXAvdn2f8AVT+D9HqeJyf7UVjsVCvGZm/1G1+0fJaFNnHskPa7Z6qyPQddCxLDedEW2tR5XR8zw+xoVrRniLe/MosOyI24mz8q+Q7TyvBFri2iT0ueJniZ42eI1PEklq6GXNJdWdHo8Vj6HqZq3RyFX9I1HVFpM30n3Rv7FehaU4DcdtGeX3MsrPnUpad8LMy5qvUozwfdlilbnMfctRJcRwSo+Ym9rGFfc3trORubKvc3Eo9jek8FS7y8TQctpa9EzvxLXVCXfFtWZe6L7kitU1zqfiRPxPZFpP2LKTFWLM2V14kbcTZ+VfIdp5X8FRv7HV86H4L/AKi6f9Q8taYU6jHW/E44ampqhVZbMuyOPcuyvQc3pONKoQls7S6lcmFijIrSI0UrQ3dTNMz5nlXAzRL6lNSh9mfwUeHhKTuPsRlTwCfTDj7lYOsSj3X9B6GqPESvxQq8yVVxN2VsNXg73w4epmcYtshVU3V8h2nlZ4jxHEzSp6m7con7G8cDQeHr8Ni5yRRfyXdWVy0ojI/Q3qqKKPYU/kcIysOXGpl2vvyI1jpxM/I3VdlvY7jX14Io/wDUKj4UZGL9GixWWpezJSXibHzKRpXiZuZGLdE+pRbPMudbsT2dWZFxuxUjUpddClSqM0deR4cZd0K9x8Bmo/h3U2yHb5DtPKy5VspBUNTmRfX4dCL6EVGlX8FKFZUMqivczSp3Jz41oajpG31xjTgivUqtBNvdH92yi4H3b0OUzL+WNkueFM1a6o5zM21L8fqPPB01HKOlR5npyL6VKXrShfU5CtYV6tai2kfEn7lVSjN5VXM0v3KOKN1Io1hVDbQzUeCzVr3LQXufhRK7NZJLkiPb5DtfI8NcKvQqiPd46FRi7i4led8KKveh/wBjdapzNR7WWi8CHW9TPsmpc0ZZW6S0N6Hsbm0LFDK5XWpRSkbk3cUIPxay5m9w4oU9GdzLVFESmVSzf2HDXK7SKSnTmzekm/YyVabMq4HhN+S/ktGpRe0TNPdRljwFtoa/mjzNbMu7GprYrqbrMt8HTHUqmLNp0NadSuqIdvkO18jx9Telw0MqsiK74UjUyS8XBkjfKbOJBuLRfki9Uu5qUVVHnzKJsnR8L2EaPqKle+hvpSX7rH5tmbsozReD9Cjb9Te14ifB3qJxomtUOMdBGVRm+cqm5vRK5ZUL2iZd7uZY0/yJRtQrO75DbsfwanhbNEjelmfJFIRSNadyiRXlcgm3oamrympq6cj7TY36F9UKhS8bmuGmCa5FVZl690QfOK+Q7XyvBRwqzd9xYPLqKc4/UdIO5GUlqN7KTqQj6i7Fal7R5c8KRVVxZOtrD481zNyV+T1OOY8NTdnlfKp+V/Q/N63PvIqXIpKLZRTklyyn4y9j8dMttI+5+JA8cWfiIy54oX3isfiR9z8WJ+Kij2raNWVilpQtX0R/ll5W6GhfxPgb8qdFqcuSIpVsjK6J/wAmpXNufxhVO5+mZVml8NMY+Uaa9S1zZ+VfIdr5HhHsI3moodJoWpYdeRRIvYhTmbysbtrEEcfdmr9y8n7jSrl6lMMzjbmUtJdTjHvc0zdjdeV8i5zw1LHiVTwwfoL7uNadT8Fe54EVjso0FuQVR2h/Sfl9ijZxwqUi0ze9jw072Nc3lN2kF0HKKtzwodVoyhqzdq4cjWpXiUka2xtgvKMsQ8q+Q7XyMsLsRRmk9fUy5tbic/C9C1lwFvVfI3G/Qk5VsffV/wAYWuNrVWLporJnQpBUL4UWFzkeOvcvD+lniku6PyM09meGVPKNOtOpu7Wh403zFenMt4SsXbqXL7Vs1l6FlP8ApLx92XcDxN9kWh7mqj2LtvGnDBPGnHDMsemFsV5R4Q7fIdr5Hgu2GpqRau+pvupujm1oU4H3bpFqtBRRRLDMy+mOaVei/wBm8TiWmy21Z+IflfoeDZ/0n4Wy/pPw9n/SaQX/ABPEvY/FZfaN+pqzTHXG2NU7ccVO+ZdcNT7mifJ6F3ctJmaM32NH7mn1wXYdJZZlNoqEPKvkO18jwqtOZu3Lo0N/XkXZlgZdpFZexTZXj/A8N1dyrOgzPO0Ne5XGvw1/2NWas1f+1T4umNtfi6m/7nA9CXcyyVVyZCn6V8h2vkZvX+D+S6LKjHxKIyywplvhReiKchVTl0IxcGopa88KvQ3ISceZ4WaMoq1wokaGjOJozicTws4n/YWHEsjRo44WuaM0ZoVNGXsaMytOpx9jj7H2dG/Q8EvY8EvYzfZOnEtX2PCzRjW0rT9VDj7FKGkqdj0H3wh5V8h2j5RZvRXpYrs3mX1x3nqUezQsk9z+CiVWUUPY3dSiRmkUXoi/iZKNNGVgqNcSmFOHHGpXj8K/2rfA+vw0L4VWuP2kdfgbiu/wdMfQctVx6YQ8q+Q7TyvDmisfF/JveosOgiv8HQq8KumbCb6kmzQyRg82HDDTdWCpShwOBwG6f7XX+Ddt1xTx6YVwqjgb0d16UxrlquJVaYeEzRhVcTwnDCqjVcqnD3PQdC27L6M2df0r5DtPK8fUXYmsI4oRLthHuT7ka/qWEu/wL4vXBC+B4M9Bdv8AYfwS7fBPzf7Ej0JDNn5V/wDB/8QAKRABAAICAQMDBAMBAQEAAAAAAQARITFBUWFxgZHwobHB0RBQ4fEgQP/aAAgBAQABPyH/AOD5TpK+tDZ1OkrGEHhFQgM3XSUPZnKDrqmSj7UcJ3jwIeszNv8ASfAKy3FtpX5tL0gmas3ejzCN2t/wRS+6PL6wm7BmRA+qopqnpLXJHSUNB9Ytyplb10go+Of0i5sB0B94rhrohg77EppdQzSvvMOIhBQS6Nqc6jFDZBDr2i9j6y9zz0l6MQ9nX0iP90Lerlezz6ygteOJfi5vYfaC8kOkr34Czhk7RNij1IEFzcGPUgkFRdJpnTrNLAJYanET3jxKE1MXbskNH8BOTtPrpueuCbAcQVn0nyXT+hvg3+CIJcdoEWeg3F5BVHqQ2L6T9EyXvHg7Q1TzDag9VLv4oDwskcPNvh0c5fgWe37MqbcvVlww8zxNczLgxCs9kAWuCcTOJTfrPWKhfQmOwvoS38+8oswqUKOrB/kYrHsCI6vWo1LILF7HihI7I1P8hiOLepHuPEsw5OkDP0cxCxKnui9Zag8kFHrgxbKxz2lYHX4nD19oiu2oFHLKqZUY07HTOsD3HjrGQ9jpITVjcdv7f+Dwk/AyqdSZtDl/jWIN55h1nzXT+h+M6RUtteH+H1Yot1ggyhz5hkMxrMZ9Igs9EM+P6QTPzaU6+0dooGLbq/yDPxN6/gsPMyHumM83BoXgmexgdZyz/fl2HHL1inWa5+3KS0v4lK2eU5BfiA17rBOB6RXYGCJPC0X5q/aVUuDQRHaPkjwHgxbkfEdK+qcQldJoG+5Cckr5OHRE+C4R8YXntFVu/wBJx8z/ACWvlLVUfERAo8JGwTLZx+rELe+VMXR5Ji+thcdlMw+Zm3iYtPoZmgfwKCfFdP6H6r9ojPqy8wQIBpwGmtkDZQY/gYF6zRi8gk48Cm0cw1Q43wYrtBLLj3P8lX4ofZ/g1XXiNlWoa15h0I36khTAA4h1jFVfdNAT7xw2Zt59oY5o7QZgeTmU8vAxB7PVnCU6oPSYIbAej1fSFO10uB4s/wASYJIZUmJz09USy9YgRYRvuOt6+niWm86k6UIeHwRobwwJsWFagbHmG7oZ9DAppUrtmT53Nm4jAbmNn4TccqK3+bhheZqsM/RN5Q08zsan0/ofnOkbNXR/M9wEQmg+kq9XX8GgzYju7R2J0ZgkfKqLPXrvMbZp7OksCZRdJ2gtriL5Y6OrLDa9xO87gTCy+PvFXChomkT6BB9/vGuGe8OWfWMuB0JyWe7G/wAIFNIZBeidf/xghMCtZY/AeRuBQhvpMuv3lUPrEZfRPs9FujuNy1fZNTUqSxPPKjgCvZ0ldNjYkpd4H5jjLHN/meZJVHIlU9Z9FMYjJXE6s9ftEN9VdpkLxHlQJzIP5TGRiC2WE8WZ3gD/AEKBRYK4MAV0xpNhv3q8zbzAv8A3HNpy9oLHusq8P0o46hEC8Du/5MDqzBt1/gOvbBV2Ls9Mp7U9jqEf0JcYzG12AQcF+WGmoFnD7wbteD9xOiHZEqovvCbCY+z+Nq6MUhMOA3bYl/lPNQoyvBiU0Ohikn1MeVAFmW7qDhY8RpsIuEeaOaU8cymNUKzOqIxVn3hLT9pSXBk4MQvVDfQzOfumYi9Ce8g6zW1jfcSjwuGbWy0xO4M1RMD+FlEUCigR2zT6f0LBXX4IpDlVCin+piQFQauEr9uEyVOuceGfQuH2yb6TSVDQGLfedJzA7SlTiK1FnBt7poOiZDmM0g6QjscSWDgddUwaXX8BGwMjxFilV3pNrT0Zk/QhXdTvkhQxGJ95yReIu0OswBAsV0lag4eWyACjkErB6jepqu8KGOs66qidl+xKVpZC2XPWGYWHiXlDRzOm4iuqOkxmdV2h5d/7iDoh8inepuWepRexqL1mLTdf4mv8t+XT1lg5H7yH2SbO8ak2e0NQEda9IhOhz0CU2sFX/Q/FdJQdKfaNtr6DiOTRx54jTl6FcMd+puDE5eJ0mDpD+EntB+PnSJcKxZqcr+H9bFJ6JhsH3DuYmw7ZTGp9YWiLNdE+sLgjpL4MbHTD9ybvTMKn1Kl0twVd7HZuXytel5nppq+MpzrvBCMQ2sKYDfmW7zI/JCrPPZaqB37pfxhVHffftMUyuWcY2oGDzPtw9sjDC4KCLaksxt7M1YRKW51PVLF+QEfPNxg7nJHQOsY+uLFPXMx5OiODG5amn7/PzA8u0/iaK1x/B5sFsXk21L8TsYn0v7f0PynSEe7b0hc1Gu/DzBgKF45J4OKLdoah9aG69IgM2JmfKVTUMbxBXWFzQmkns4zMPIx0dmTNhnc/Eu4zAvLeGNVcuO0vmzzH3I7q8YlC3iBtJWWj0HrB+H6Yhso/b/Zd9AG5TDaZOkru1YzzhAVhWEDgWd0bVMkOmdunowZhBzZMrl/SBTiDnP8Av3mD3e1BQGu0YBNTqj7EtLbYrNcDuCFvaYvg+AkpAHnfWK+UbO8pwrn9zSeE2ByT6Oa/RNjBbcBi4VOZ03qfPWfYPaCHJBXgfiXHS5Vh5fpHaHwP6H4zpKVPxUqt0plzsP0ZliuUzeiHGNZq8yg9cxXVun0hVVRMrZMrx2nRU1HaZDq1K6i5ZVrcOdPB/MK/qekpHbGuesvA3+ZjtszB3DYUpgFuXXVl/Jv9wYrY5YCOtS15JrTCJdjURlq0ZV8I2qNt3xAbjZv9UVfW1fHn0lMj2Rpz7ku79cTEB3G4/PF84hFmHZzLQmO0WAwi3pL9fXuxWz5fMJ09ocdbEWHhz0esthPI3jM30xMgdo/GxDHdL0gGql36l9pV8a/xDj4gz4MeZ1e4HFDDLDRZoPp/Q/GdJZwJVPpLtBTRCbM1F5dWYs+xxFYTbPvQ15KJ8XbPKDO8zX6RMp1mJBj44EIAi6JmvUexA3br2nMFXEPmfZHcPeVmcOJwHp3mZyfaC9XRF3Zrp8/qcROd29pdbo+rB4D5YF7Ll+e8NjAogwI6zLgeq8JwZXXMd03612gVDbgepx9JYw2PaWvT6GdBt3nDWRayrpzL+m+srOH6MqdK+8b0R5nIQXN3sRgxJ7ygK9PUdZUHd7kAdcoh6hHL4zMgCCz3xCm9xWq+A+ekIHrUfQQ/TArfiKY5glq5PMADUY/ofhOkdXdTPpNPpMIMxa06n5hcBDknbU+3Pzg+K4l8XZ7YnLKg3cNNx17/AOAPDfDYvl6EyJeCBfb16w84VJzuCXQEcWPaaW/eZurXKZgc5POX2l21t0j2SbzB0TpSYGUiCj4rBUpBqtoqKLBTtYlK4W+q+kFrTBOaOgh94y9KGspmKfvQYyx019Lz+4VaGBBlcsUdJGwA+3WDsMy03pxeoC8EcLlVpXiwAOwf1MRyvpKxdybdin4QW+ZUk00Or9JZU0gfPSZ9on2p9qAV4RlxaDX0haYZ/ov5zpNxzX2goniV7OAF1r8zaOn8QRZmsTWFB1wTketHWsLHwdmXSgK7PycQJWu5dmCfgkMncZl3KizjnBKQ+PeYj1mDe8EqCIV9rtLWMCU6Ynvy/aYJg+cxe19MD5zwiD8/llNrXWJpzhiMGGDM2Otxq4Eg1a46I2oVvH/ZxGdXUe41iulS5WHq/qfU+s5UBc1CoBZd1j75n9Z6U3JesLRzw/hlF1rY+PUiXTKhpMy3KVswVvXEyHQz6SeCP4gIjR2g8+0GZn90cgMAekwro51a40e8paIKMjN1JGJNeZQ7yiBZ4fxA9yJo/oeOW6DxFlmRjDiCru0qiwjuUscq/M0ZenMFu2oC4099SjctJfX5jsDY9TcYjLRDVrDr+Kqnj4PvDt5/Upc6QXLWg0PWD5kFFvMV6Q3P+iEpk4H1jxdZ3Esr7wn9hEDwdoG9QdyPeCML8wjW0/eMsNXHt2K6cRK176v/AGD7blynaC51mSMNL+9n/PSWQUQnI4uL6qTFg7RimbVqNzSdMNEaq8uR0g7s/QizuxBdjiL40u/HBKMJqMDYGTt8+0GV7kJh8Rz6zR3iOGiBWu8sU2tpemxMlpysSL1FI3q7uVKajXq/EV8cTX9DTMWX+0rRpGnr8d5e8TPWC7MBzJbmvzDXoRq3VVLy2hlmyZPaWN14maNjiMp1KQs9W/aGzwuYQMYz3FzGZgPe5fvMWOwSjDbLH3aYFdNoOmGiWmVmzw5l2VOHPk/M0933fu/cw1VxU91hQ+Klu6VH3+1SwblnRCUXUG4TLG0doSKra3LTZFGdtafeLGpyw4K8rjvUhoev6nmMmA8PzBdW4ZVb/qZGdvowLW8jgSiqIjdB1QbcT5+IqHN/yn5v4tiXg2voiZeMe06wmM4gDdg3nc6EvE54Od98D+IOzA0f0LpOn2Jr2mxxKPcrGZc37THBevzKaQsORBklMXBmgj9D89ZY8DZrUrxQH0tkxVOE1eJVbp15fhFfSv6Tn3jh7z0JiF2QS239cB8Nd2cj/wAjjAGFmU99GW7nCT3JTL6S5h5A/SDhYGMsvaCSi25V+ZvV7kOuPLJQst+e0pw5r70AXCee06RfGYnRAxVt6znz0Ye1p3fgS2pTsA/Mxnf8p7zNS6rNEW0QHi4GunSBZWTa/jHIW5FMS07mE8COD7zKnQuOh4pr05l6+j69M0+ekNvrBSrpEdQl+IwMF1fFAgicoPRlih4mJetzi6HmVEej+Jtj/oQ0f0PyHSBCjrZVarDjpNLqxNgdPzMrnaKSuIKwajvSVi4Ko2t6xEN7X8SlsyuJhewgv1Q49YMPEfJU9j/kuZM7TUh1ylqYA4ZQazt3Ci3bR0maOcCzrGEJ6WbG7XJH8Q6zY8MZUx6hUpWAw7Z4nBPqxwGh2WwNDdZeqcYq1c2iw7TyMTVYPek5ifrAWx9BPq9+PxHvI+iQ7CILHhK94lS6Qr6x90Rvvs7xps4y9Y2m7VTX+MzZ2KluUu9zAbvH6gz5Q5+IHlXiNHAy4dRKu79UCXy8KvEcwcM4RRFC+FsKFFcK1FbDdn9D8h0gAsvQm8uzUC7Rv9o0ULMfmVaO0HDpqbXaYVXxCW+x6Q/DxMUFNInDJFLdW4nR3gvxTMdT9iY3aBYdGYV2WY2cZhznjL5lh7sGSA24mYzOrYjL7sANG4H+I6AGqZrS/DU1cuc+0o+kJ+p0/XtCvCxpEzNRDK2BDpOp6c/Lz/kMx8RhNYPLZgugFq+kVHBP4Doy/N27h0q0Maqme5gU9f3NadLn1rTn3ZgCYA+HxlM+J9/8w0vSAiuKlCQOaitwmDo+xBYxFQuuMzO0sJXU6gUopaa+dKitnP2P6H5DpHQSxX7xVF5LItAvTfTT+52JX95hiLAaVvJxDAiJH0H7zGv4VK3jB19t8Znbp/aHP2ekB6Bl+l+whWtzRUQ7OSUPxOPf+A5CGvEmSUdqmJbW3JMPTocku7BwzHVne7zGLkA/SfdKMMmGz0h5PMtrCt9o4OYDwXGT1DitjzXeUZABUHWjGWJHf4RNhfiVehW8EB9cXhHAFeNrPMWz1ncUB5LmPqE8Vms4Zg3w7JQV8dJ9wQIhWY1lm5ZvfZCrX0gZ4rUrl3z6R+Z6+n2h+DogweJtGMy7qvMNASW4AIjY6WZny3T+h+K6R0d8xVpw41B71G9Z/wCSmyAMiSul1m2Kjyz0lpXu4+8sJvH4SjViKtTV+8KAcmkH6vxNU5lSYzVZYdy1esyNGKhwhDHJ0g1EMBzOCA8tupVmLQD5VMp8EHTiUprG76XcAmRXWW/gyempV2fDvwSus6/6wrZ8NBhcOzpt9ovANPzTdp9KGr7xIDcKvjJ1ll1ZcMMry+n6liAAKcZjAijuMAMS2+H1l+GOetkl4XiVruxMDGXHxBhjdEwgv4EztOeJYKXPUbes0fvC+DiJ+ThLYdIHvRU0cMtTi8q9TssJPiun9D8d0mB5feXtUgDqT8R5g5U25+dZeqarm+ZbNgXPrEn2X3nh4/CK/LKyC6WjRW4b0eibPMzQMwEXVRfQuAod4cMOEOG1Npujq3B3ycECiuDcwy7lmWXPLUQiXs2H6gwz6mz1jVWXV5mWDxWp/wBaCIrRaN12iwaqQDT/AFl0AZS9xCgypcMQqYXdsm4YhOvA9ZzfHejpiKwRb/CVPFLO3SGeroYKyTLJsgvHD9GLBz2nFwIrlZb3gphNmoKWOeACjkjmNNTdeczZ5jUNsJrZeH6iAUyjMvg0S6OlRbuv4hBNhxEvbtl3l3wHE+U6f0N0ch9Iud6NkWqBzt0gNWqqzphmIZTH3xkl0dO8J7qOj6SqfRt6S5U3LrFOj7spa0r1lVNrlFdYdDAfW+8056TEeJxYlvf5+Z18T7CptjjBD9JllhzvqRXm8GT9IOcpozFOoO7PeOLohV6ywztpUZxVgZij2JRD2DdqBYteMoW2G6TicBGybaFoOScmGCfiPW8MAalORkuzpgEv2EMwBzgy1/ko37mveDkgubZ5wxa8GpoIwMCo0ugdTDDuIAIJzUV9UJ87tDh8xxbmUicRGo23uZJq1xHfwaTvdEwNZ0PhmI6ptqZYHa+JQIrqGhfgf0JsDn7EzxuQrxZEUqLvsymT5MXreogfYlAy4c+ckQ5w4rrudnWn2c5vT8J7WJDoyurO6+IL3hXqyqxknWOhTS/QggTjLxBfZCb8ZnRNR0IZPb+J6ekSO2y1H7m0V6Hx3n49T9SlSufWZGDixtZdbbNG/pBSvPFKE6y22uhe2O/1c79ZQUWZqAi6NCBpr9X3gjvsW2IXVcrKOuqFaQxgV38B1lIdbXuZabNNV5mKoGMs16ER1f8Ae9NTtGB+ekPtDRfy5+36TaLV5xL446B2gbLdqh0uDF0r+FeXjcVLAdKiVQWXQ1L3yv8A2VrwW3PgYpDmS0zcS5ELmwNYYpAW0vcLWuYhWoqnBRzuGgquD0/ofqv2h+TwTP8Aua5aFlni9GF7KZVvET8OpAvTx+YMOAwv2YqxOvwiio8MIl9HvM2MmmDdJBpXOLFNyi5Atk6EVuvMNeOYIdE1bJWwbqakOPMWcWB04PWaJDB6PErBx0JmxTvMQGVXVfLjm9aKYsarg6Q7gqger+4INa2BO+8QURN4DHMl60b9mUlPe390uX8B+dRJgvct+svABho16XMkY/0dpToVwpv0hVtyCcjZCIAoHNRZJnSNbjHXMzmH1TTy6mo+k6n57QTgf2HztMCR6xVDdVL3JdQnNo+0zO8H1lKkhWTS5hqcQHfxKJg7Q4eTubMXdsoXQfiQNRxPpC2gYde0Ri6axglndB+02xW2D3go8OOv6H6r9ob8/wBpBIXj+06pQJyPMJostuPebFOo7xA3GYlhX3iMysfhAxBp4fSNiNKbhjSYc+scl+MxTxSzz7VQfiZXVQSvluOr9g+kvNLSpqg5hf8APQv7I/eDqT3CEuklDLKMdnZcv0ol6E7AsxC7BtlIN12y1iMImrnrNSFseEYICqYx6AhzeNP4WohT2+D7xtn55PsYuZLenqIbLKLA2v6xBRKdacQxFfWZzi/SNO3N1BCJWBK+C+5k/XrB0EsmvdhHrHgaZiPXH0wPuTQYaHxX1mivG/4HYcTtMtTHctY44g+bVe3MtTn8yvDKcdpU/I5+0NBGXmBZ7S0NZvpFrS6zd3C6OKtSvwHKKCX94fi5uVH0CGhGw0eP6H639pk3xoi6NPSLinkTK8fAmO23gZinwMTPHN/tLdp69JdphT6JTAWtNQYFanqYPSIpUcxXQzi+05FHOMfWc06wihhxEZSo0ZD7xqCJ2SKq3ZNzGU0Vf1hB3T3GFaWuznz7d52EeXuvuncX3oYxLLAA2sb9eVO/+Qa6whovrqwiDfcKn7JXgXI7Hwyo8DfaLcgOHT0lBUDVX0lYuB6oyCre8OkKmfnX+OWdQop6ZlXu36/T+D5zejnw/cpVWIGgOCIqqehFv70eRLjEGQCdWpYXU49ZouS8wrjVvFTqDuHMByWYgBOA4gYbrEMyprXZbr0lITHfShQ9TKGLR5YlxQeggLWra6/2ZsRo6IaPT7H9Dw+uGTYq10IrFnpBPUC5h2lfrBV6BQhzZfMCC9nPnxHSXQMcGTb7wOtPjEfLXN9SUuuE2dDzOgH0JXI21kjOR3LOPntFZoEpHmO7q139IlVd8Sx24OXGWZOkgMiE2J/nV7MxV11z8cQ1vK+Mf7KA0ERZMEvNTlw/y/aFaPcPTEDkRms56ekta7wPJMiUjjZY2RC9V6fEOxUrD3N+JkoQq6o8OkKCOjr8/wBl64dekwQlfS9GWVSCvSjGxBKtGh1/SKWBseZVkCy4flr/ACYVOMaPjiWcd34JV6A0Qu8a5lr1Oc1W8BMICiEvjVC2Jvl3JcNzghoCj084mCeTbHzWOGOiNqM1AICNxaBw5l3Su8Ktdg0QVxboYJQUV+8od27tRW/wr+hVLquSuICqegD+5yIT98ECiPL2isap48wCnYfeVKG22IrkqsR6KY71KovqlhpouMVWyU2zUq40x0Sh8QANPlIoxb6S4zwkwad8zKbg2QgVi44YFGuRIcwfQ+0DjGIBoBHYxDZRw34RhHEfnmHtLBfRRyysp9P3fpBo67kAvBQevT3myatwMG949gmiB18xqYvhxMQDArO7jk66t57ftMngqfVOpTaxSF6cEU+Xv16feIm1Zjen/ZmW+Pb/ALcoh3tS6RWwcN+Ok1uWafgEaEA0ENaIb88EHJ4l8HEOWvhACtk0RnRIiw5JpA21KwflxLMep0mkc7e0YrmhUIFPYxqWq1cpetBDQ8zu+JddlmIGF4ZMCAlIcPj+hAbpWPpMCnUR+lQoBF1ZiCnS9I4l424feZU2q7N3uWTbG+cxLO5LyNmJ9E+0q2H/AEh7HtRplK3iU2oRlaIq9pRQi9yFUH/IhLcdicrqMF4UZx4iAUx1h9g+0GCGoQawD9T/AMTEIOT5xMUrMuAnW59JDrKrxwlHBj8szHcoyI5G+soc62cwiDUqCaP/AGL9aqvtcs4oreEN1RubOqIC2XovNzAVpgQ2hw0fRg3MQpeKr/subcuJ6xpajrxf6JUyvRob+sf5WHnmb8yw6yNU5a8keS5ZYFaFN4Ostfx0cS+tKlfC0/bFu8k19X2Zn4sdOhMEKth7Sxlw3a5vCZG/257x9KhiZfMx/QtEwSj2impVFU5iEpj1QVLr8bgFjD7bnqRxxKU9hye0wl9mtwGuVbrJpC9h9ove/edQDnpiKcuKIW1qiNZFVMTpraWMn75jmtRgS0LcOVOi68E21v8AaZ3oH/CaEJcZXpuIuHT2X7lIVmriU/i32izRyt6VsjvFgLef9RQqxcM1DZXZ1ZTDLfBGQWFnFzQGnYS5jIRoZuXpYGLk7ynaTM2ZgKAtNYmMZX9M/iZ/U30DnxFv91j/AIloBnNLVNmwDSHNf8nABeyP8kOcByYZmTsAauCmWVYWztfTUYS8L5yvADwajfK1bWazq1HrC3Lb/RHfx4YvYxb+Iwo4s+0ASPox7RLW6cPwQbgv3McqCGJigu6OTx/QtQbKvado9IWGLHxOmfPc3IduJgvkdJmkOrDMu4TbddGFZt87JlJ4JIClX7biY3Fr9pnrnQdEBsvwgN+UVXnIDR8VPSLDmko/NLI4dA05m584J0Aekui2O6mDXpCZo59X6j8OUDmUAVRwJYiVv4dSgOD9FwN3a/XtLBepibRaB5rGEFWQrpTXnCRr+oRhYVQnzUsD4o+3+zW/WcygrozyVB2Xf+DxNGTfSu8NjUrDENqUza7TjCVoOkuyZfO0yt1HhBe+I6mrl0QpXM/EIqPion1/mBFVmko3T45r0n7RKF4bfVBKMmAzM+dBWqgBSj0ottX74gFdZ23PrlkjioCXJPdO9TfT+h+Q6SxussFdq2v4tc3HruZGRyi5jMUZyE1Mvo5IMLDoyShxL4lzmq6NXEAStaH0iIANw2aukiRXyJn+L+zmvym58wYHj7x5HVmR0xMrRw6YhSPyplKL6fueY9Z5xR9n5itZVoblVby8zXeOFgFEjbK+D4g0KtB94q8xe/8AsvO8ceYKtW05zgucdPfWFfA2KuYrdveYUcFfL/hOUiUduVjlJwdXsdoOEELZzKl4EHgzvDozwWnvSBSKvP8A2U1nbjviC/L2JT28exACq6MOfH6nzOxPh7R0l3SMoxlQjaaLv8ZVygVTP1jpSeN3oRWp/RgfSGcffE3ZDrGm3Ww9kfphlMeyVY06IZpqZbZ8b0/oflukMnLAiyhTK9IIRUcw4pcGzzAm3caw5gGmHi4vxzTm5aBg7RIoB7KgNnYETk+tLURPP/IhuTsIclBe6smzVuzKgLK9X9SNYB29YPj1mJHQiWbpjQL7zKXMDvL4Ztc8OvTmd9I+tQEBnqOU0/eU9yMAN/LmpZNY4g5aNPxiWdAlBp6VLIg5aPpLxQpgV6Itu0AheK2Niq3K/fX+wWUTM08s6AP+I7RqCdUDzLdd45iuuPgvMTR51208PEYcrPxz6QumkZ7lKDp2+0vDOWuBuBeUeMhfVrrMX2l9OfSOFLW7usAGgHK4rPpH6obdnlMV28wEbN5Q44XCNwrAOTMHUgm+PEIzc+8bRDANMwzu1HUMoApl5nyHT+hpkLPwQqnYbGoXM4s9R1gmUC4MmoiFmZsgVFIONg0EU3aE2aJ2lmAW8SrIB5EWlNMYOYja8Uixj1Nyvd7uKsAezUzIHrdMT1OmMXYOKYRf254loO5df67RrL4l2IWfqeYet2mOtGBx3eg8vwwYXQ0d43De55jzCy3V5XaaLcgMQzpNzc6uZY0aJ02ZbGILK3W+/L9S42er7zlAwDHXtA7EqlCBTNjFHPIxZgPH63WBgZ0NP6e0Pk8aZYX0NBGn3BZQN1mf8RNB8A5ijA8BAFiQwJ9icuGzIRnBd3Ga2IwWDG1xFvbas8RdshH6AwvaIgwwVf8Ax6TL5mJ8h0/oe37niF10piXmXgnEuKgNRX8owlDqD94DZjrKsiwk1E4zmfUyoIZOIibJmNg1leIXotOUr5gYzMtf6zO2Brqg+AMRrF2cS+Bd2EK9gMFd9PBtYE4gsh/cf6cZQ4pmMKNlZEGTTvNe6XklcGh5lgPnyLfCWDY+bOOB90Ftp0b7iH2ml/bsx03O8uMNnPntCpNqnfczJZTbfMwXasxR2wsYKd4Q0DWAfVIlyui06fzAxKVdGS+J3FGGFs8AzC17Z6/1KOAhSuo6ijDNBAGDzBl3XFXC7lkbJB16RNK9JpWnSDuovSWrssU3OJVAoeOkFDQhlZ9Eti0c9pXuysdGYCsMd8R1sywnEvAB23BR9Psf0NnaQ+kx7bG6uZLfWXptSxdpBvNvGfuxLu8lQBlJ0lAaWUozDmjCZEb3V8kzAU+MxrCvOi4VBKC2IVDi5S3vKIA8NogDZ+YKONuW0wbLfE2r3yCD2rojxMSexuavTyTtYhjnIX0zMtHoqFOlxgrPavXtKdmzfoQKYPLjsljQGWy5jC9L/Y+l8HPlvknH8cylU1rR/suVeXMXfmPWa/W0oTm+tbbG2iDb9pbNecc06gtLwO8uIUG7h1MCzl4IJUEInRv7zoUC84g0OPYigAHtLuD0GLxTLEPWJdtXubrVzq8nMtQMPSJcDtiot1R3g0efCMZS88MA6V4JRw14lgre8GgbsxzBhr0Nk2ZkufH9Dh5v2jhwd35/UYLKOnrPbVbhqCPRB8DtLkOekcch1j3o+YEvNeGOb2KUjLRWSC/4Mqz4NZVXm96mFEfDcNms6yeyu2ENcqNPiDcS9kI5xGp7csPdtiIZGPMrFu2hc9sq4HXh5OIIBQj0m/cSG/rBuxmnNAG2Lwwxi9IeY6EnDMnqBUnrGN4Uo3t/yWks8Ws/1CoXz/JG+slkMfpYrSscgnz2gQoO8vrApR4jYUHuAxkDfYahw3V5lMdVczFAtAd5bGnXl4Nsx/BJvsmOeNS60XFqJcsJPSYxGLMl+sUKPRuWarhdVGUYLdOYlFBzHRRjNp7K6qJUy85lBk9ILSVQAbKgbAeIRltoENneZaqb6JROVLhqitbH0/oewDfpLreu78TD/tBwJ8pUtZ9KKxKtjaUcG5ues1KlAUVTJMvwtl8vhYh4nu8Jwq+F4GihSubpTm5RD2YKvSFMl9U82ef9nFCtzWt8ynI0Waeu4oaJmQacywCmf0Sot1fAZvkyilFoK3oPpcJA4QsekPCojZZqDpDfIi5KP99JRU7w14/gpp2EIUS0P3x/DkhWAFrBDlYvCLvZ6J+kTQO2jzbUNFnAUeupnrcL4HpM3D1PWJjHyOJl0SfHmMF4bSLmlFlxcA6DpRKdk6spVYmTQYYyx7FQS3iVnM3zXBzFCdlrqfMA7wyHPRiEfdAAsJjqpcxg5esuVxtdZY3Lj8zL52P6HsI30i5r4I+xX6ImPEE1dvExc5QKzPr2YAvcDj0ipqsM9IouynfKMIs9P5hb/ITEVB7kKwruRqUPiLtjwzIJrm5dCWeYVWzsjUet1iDNGAoaq5VhQ0Nw10Ro6IOWUKsdAkvyL1oYiup9oHoN0W5SV5kH2lW+7BH3hhXnWj2SU6x9MPlfuPyP3HhXx5iP8Zl3fiwRS8Yw+8s+mh+8Bob0faWV3PNylJ1YAmMHUhXwjtKckbZrssxehMwoxXxNAzwQn6xm2+kzMjjFs0QUH7R5wgWKprv/AJLTQOrMxl3OYNn5NJznbo9mXSrIQUp2Mq15mWN99oqK2vMpWOZ8h0/oejHgdamnmrwVEQS4XpBRz82DHMOXSly0d4ZXjZrFDJ7wmGbOZjTIaqyKBBp31cvK3y6OxFVt3EWNdJsPkldYDk6QSkPxMBMGHUpu5+38AVTr7Rjm6MtZANsGCO+KUnmL0XyaMql8deJR43DC2Ke73/f8N9ZC/UaYciekpzM5z7z4/wDE733/AMncfHj+E6ULGh+kzo4KIVKJS094x7Z/LAwQcEKl6TP59EYFXdgHDzLBdPxMUQ2+80pVRzqfpFbcSvMKp1z+59Z+U15rrLa4YKlvRNEd5iWFJA1ynpNc4OX2Y7X1I6bbL3lrE9UfuwNqn3suO0fgf0Ns6nF7fwl7CfSVFfhuWH1RXTuEKLulVMX6KIm6KIFckYqbnTFm5bjymQe7ibA3x8RjLpFUXbBIonlFZZFivUj83OY5lRR4G/MGccgL5lq3vch9KgfnpBjVdg1EVIl4ZuAFuBXcSsD4Z9Zdaihb5EqgIrlGZi1nyRWmeTNSgrvtRpVR4l3AHmUoUScQPaTlrLKhvB0y/Up38Y+YmaVgiWHBME56X0hA0MLsM5SXBb5iVbFwSlUR0JTa0faWTXv8o0WbuiHjz+S0JslBrevLhgJpa6nvKzTqYIGAZ7xwsj5Dp/QtENn2JUNNovB2lR09HE3OXEECNsg3KBXZX7mO1feDQzBXHsRee6SUsqOvrCw5SVruN33r+JCPeH8R7NQ/SLCvUpIbg2x5JdTxCUWgpVzCIKUsvuxqJWDDUzIv8TUc1OzNu0nefV/cORPV+5i/J+0ZxerHGuerLke1qMFRZYlaQz7WQ6QNMUt6ERMHimqdviBsJz5pgphSbJgOUOrJTEKrrlCxcHaVnMAayy1snaZgXfRmTbUPyMr/AMB9mKlUEjki9VwaXioNHiPNaGtQqWwvp/Q/M9JUooF7Lrj+FAWXLjhYl6wW1es1YgoQ6lt9o5eFJL7Y2PUjLsoxNkArO5SCxkIInoEjtXd5QApOLigCJxMWky6TpCsS0CzdR2DLTM3o8aG7jHMLpr/ZToxfS3lWXRUsMDEFzpfqjPBiYL6HEMZWfaWA7O0UhxmDp7GppO8rjtO6ZXp6qhybtvM6RflpiuFpFi4kxym5UDOWvHSVGiL3wQ3UZ6wZteDJqbRx0758QGmOjHGuft/sS6Kjwp/IfwIpMR5uPJODsOmSWePWYFd4OAH6M+n/AG/ofkukaNy8VX1a1AjDE8E8C51GCu+P4rjmpatMdrsr0f4sWrDAA108e8sDxRQANqFHMpj19SDhl9ZteR2liO8qv2jl8xobNztL3VWYd1F6ZDeG4PItZXT5iAGPCLZoorqE2nydUvxB73BAweJRKIkpAsFYICvc3eoIewqYSPRVFD473LZ3xl4QOIM7a9Zm95NxGLVac/xFYje4shi7iq3RgA6EPToOJcr1zCe+PR5Z9KfyEVg8npNGJ5bmqTTwdDKULtHxqa0XCg+s561HWL9Vk9v6H4bpD2xpgcnYWus6CORdsGHxLHGp6McCsejqYBKXBGqM6w3E5iS8naqOuYnCnJnEwjzMt29e0LK0tulL6Y/2EgN4agX78oDI74WSvVLMpQ9wlIYeoj1o9ywjJyDhfYiU37KpIQUErITZvdnQ+rPlc5gB7rwV+ZSBWL+fSBn1ztltupyaja5fcnJr0QF1AdJYg1VM10/U+JT4nP1JxJOFd5QjqBAh5q1Ynvo2SVD4Lhn1QfeNwr21KusZLFW6iHuZl6D/AMBY3cz5iWzUyFPIXKdggbvS940rsKMR1OaTm/I/ofgOkKgL5jEbsWfSC56XolFOGpSdTDFDz6TXFwGKKYXFzAxQe8W40Ci+XqQh43M3N8wVLZcoKoToXNBbepLnnWIqciogrsZaEddanYGicgplBXy9nvKVXHEH+jl9p9MESc49aK4JQwvvKIA9ZbmxZUPLmNsb9urb8Snh3QW6LmQm0fMGKzrm5Vdqg7KT99RTj1M3C8iyzj0h95gpV0LxFAsZ8ESXWdwxDIqcBEasc3ULLyRsmXapq7iHbqdChRj2zKCuys5a6VdK/mDLqv3jJziFiukPU2z1dpmXyR+t/B850/ofnOkyLNIQLe/zvBqrGb4YPGcMGE32WguU9cRJhV3g8XPmcLJNhO1wG5HFpdlOQSqJKBOSuSWC24CWqt5jBdj6xvCvl21mb5YpA1cDqy8JdLWZSGdyWyhg1eojFj5I3+STp/U/lPyt+Kcr2j8wXg+EQ4j8D9Reg9DPn/tPk/tL/m+8HzeQRLdvMY/tP5lX5OUaewTofYm29y46LrxCGyhd7nZDARIlBt1BwG8y+suyiatYQ5c9WmEpemFyiBUa6orUAXLxiDLHvTEyvQKDCuJlh5DNJm8ksPIZde0LbsBNSY7ZVdVUzR30QBn13RPkOn9D8Z0ldLGErdLxM+2tyekC1kxTXdD5nU/WD8WA/wAX6o83zu06h/DpLCgPP6ottp8VOKu4u9OWlGLFZYNr46TAKiEMHrHC3UM2s3WcSgTdUOYOCxeQexf5g1YU9oO4p9yMEWmjLUy0i0oBT2gtO8XS84nGHd5wW19IdFzkT/scfN6IOtD3P1P1dczmh1u+n/ZxqOeveWbVOK1mabFBacTFDFqmkQBd2HMTvWc2zD6hPF/8lph3Ecg23D7mZkcpGqhrmcKW3T3gsQXGhl47JQE56IFg+juXLG4jMlFlS9XwekTzMk2O+o6twwxM4KuO8pOdhXEu+6MfqFCaut1rX9D8p0gPDVg/Mww1qoHqA0w1DFPMJsWdUqWKodp7zH9TKcfhMIB4hpyngs6Y9aW6TJbNveGDJt3gVkFjpmH1NdyqtRSw2SmA4hD7tRjcXHWJCpynXb95WPRuYVltL63/AJGZzImYtpS3HEKLsYHrGB9IIWZLvw8S+Q6IrwcbJYqHYqs4lC+6IjYuVm7S34uBtClY+dYqnFvN1C1QVVN+INsFDXm5d40Pq/2Dk6KqWn+hGEYvY8St9fEWtH44nIUJTiVGM9MR5QV+EwAJLFqjY+sFRPCZhZXIOpg2b7cRWDn6H/I4tGEDv0Kz7Sh1MkL474IZIwIcZ1MAziy2ZMWl4lIqhEeIIGnWdZQfVPNf0P1X7TEweZdst7PrFbUXVb+LbpGFsVUsUQGiOpCsZHZlU55m4th88m5wIZG54gVwILfFJYUp4cyJOJZYtldzMQMXlalylHbEcs5VtgbZKjKvEF8i8g9dR2xrRp8dZmaqNPUln3Gri6cn2ow1aK+0XwUKWYBn1sQnlSsPPQ+dIKELVxsVi5pVx/FcRCuD0lAIJuXizvKYrDft1mVMtYiUu9d+IKNrt/KDPWS9pSlZeMsAAafd+pRoOnxsypVLQvzBh+uH+xPFiMToYO4b2SvrdZha9ZlmRYouXIYXcAEuhwmEZTLBzNsBqC5Wq67bek4GNoxNtt/dKdBD3jUO37H9Dhdq/wBo4O4XR3jwS01SnKzTovSF9HcbGJIBZrGO8SS9wdC19IGILiCWufBjHe08DUreg/wHLaS94ZU8ZepzcNJcA48OJ4zD0ZYo6TMzNg92sXeBY3Wy1w+NON5lYGtaxeZsdAecuI83j46YYynodom6/UBMiTl5i8I2MwgKOsDs28w7kAV6fvACl4jktXaY7K9YmAcZPSJoDzm1QpKyGvM3+ViKaEXtBnbClGa5/MS0M7rFx2uWqlK81KHDThY8wnlhfEs8jYFJLQsvHaG1th0lkx3RgWL6pexdS4Dwko7RkZHDV3GeX3gpS3biM3lWlzE+NUXHbDoOcy1zoalDpB/MzOhpdcyuHX4v6H5Dp/CCGoYYV9MnYiIMeY1lkgaFjgQA03fbUC4dql5Z+8BjB4tizGmqVr5xMOsXhuD+SkC1mQeC9oOS/pCekF34BNEGFMQ2a9/hiEbNHrlbeHSJMxE4No+jN30+a/yJlxveXn/IQ9QzU+80kOE7dIqqU+5YzCjcl09po2r/ACmiw+JsVs2dKiAoAbWNUcqPbpABLGKkhfaYd0Xjp/A6SXPKDnIdGCt7CK2zeX2Q0MVwlTbX5dIo5A/VBog5BDWxoRihgX52miujXmDgXTXtAyD1nuEMvSNPeELlG9nionKGlFXV8amTa/EzaeC5Tjly8SrqWUrLDUM89JeNDcbQBhw44li1vaCj+Vf0Px3SXG/rNLJRLJv7ZqPCQr1+07IVa97+O6doUfpKa5cuhMrqnNtj5svfUhuJaeIgeq4BAhZC46Vl19OqCqkyB1lAQbddwI2NveKqc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)
Šoda (anteriormente UCL Physics & Astronomy, agora no Perimeter Institute of
Theoretical Physics, Canadá) disse: "Como a gravidade se manifesta através
da curvatura do espaço e do tempo, podemos pensar na questão em termos de
se a taxa em qual o tempo flui tem uma natureza
quântica, ou natureza clássica.
"E testar isso é quase tão simples quanto testar se o peso de uma massa é constante ou parece flutuar de uma maneira específica."
Sparaciari (UCL Física e Astronomia) disse: “Embora o conceito experimental seja simples, a pesagem do objeto precisa ser realizada com extrema precisão.
“Mas o que acho interessante é que, partindo de suposições muito gerais, podemos provar uma relação clara entre duas quantidades mensuráveis – a escala das flutuações do espaço-tempo e por quanto tempo objetos como átomos ou maçãs podem ser colocados em superposição quântica de dois locais diferentes. . Podemos então determinar essas duas quantidades experimentalmente."
Weller-Davies acrescentou: "Deve existir uma interação delicada se partículas quânticas, como os átomos, forem capazes de dobrar o espaço-tempo clássico. Deve haver uma compensação fundamental entre a natureza ondulatória dos átomos e o tamanho das flutuações aleatórias no espaço-tempo. ."
A proposta de testar se o espaço-tempo é clássico procurando flutuações aleatórias na massa é complementar a outra proposta experimental que visa verificar a natureza quântica do espaço-tempo procurando algo chamado "emaranhamento mediado gravitacionalmente".
O professor Sougato Bose (UCL Física e Astronomia), que não esteve envolvido no anúncio de hoje, mas foi um dos primeiros a propor o experimento de emaranhamento, disse: "Experimentos para testar a natureza do espaço-tempo exigirão um esforço em grande escala, mas eles são de enorme importância do ponto de vista da compreensão das leis fundamentais da natureza. Acredito que estas experiências estão ao nosso alcance - estas coisas são difíceis de prever, mas talvez saibamos a resposta nos próximos 20 anos."
A teoria pós-quântica tem implicações além da gravidade. O infame e problemático "postulado de medição" da teoria quântica não é necessário, uma vez que as superposições quânticas necessariamente se localizam através de sua interação com o espaço-tempo clássico .
A teoria foi motivada pela tentativa do Professor Oppenheim de resolver o problema da informação do buraco negro. De acordo com a teoria quântica padrão , um objeto que entra em um buraco negro deveria ser irradiado de volta de alguma forma, pois a informação não pode ser destruída, mas isso viola a relatividade geral , que diz que você nunca pode saber sobre objetos que cruzam o horizonte de eventos do buraco negro. A nova teoria permite que a informação seja destruída, devido a uma quebra fundamental na previsibilidade.
Mais informações: Uma teoria pós-quântica da gravidade clássica?, Physical Review X (2023). journals.aps.org/prx/abstract/… 3/PhysRevX.13.041040 . No arXiv : DOI: 10.48550/arxiv.1811.03116
Jonathan Oppenheim et al, Decoerência induzida gravitacionalmente versus difusão espaço-tempo: testando a natureza quântica da gravidade, Nature Communications (2023). DOI: 10.1038/s41467-023-43348-2 . www.nature.com/articles/s41467-023-43348-2
Informações do periódico: Revisão Física X