Steven S Gubser Frans Pretorius Popular Books

Steven S Gubser Frans Pretorius Biography & Facts

Hawking radiation is the theoretical thermal black-body radiation released outside a black hole's event horizon. This is counterintuitive because once ordinary electromagnetic radiation is inside the event horizon, it cannot escape. It is named after the physicist Stephen Hawking, who developed a theoretical argument for its existence in 1974. Hawking radiation is predicted to be extremely faint and is many orders of magnitude below the current best telescopes' detecting ability. Hawking radiation reduces the mass and rotational energy of black holes and is therefore also theorized to cause black hole evaporation. Because of this, black holes that do not gain mass through other means are expected to shrink and ultimately vanish. For all except the smallest black holes, this happens extremely slowly. The radiation temperature is inversely proportional to the black hole's mass, so micro black holes are predicted to be larger emitters of radiation than larger black holes and should dissipate faster per their mass. As such, if small black holes exist such as permitted by the hypothesis of primordial black holes, they ought to die the fastest the smaller they shrink, leading to a final cataclysm of high energy radiation alone. Such radiation bursts have not yet been detected. Overview First predicted by Einstein's 1915 theory of general relativity, evidence for the astrophysical objects termed black holes began to mount half a century later, and these objects are of current interest primarily because of their compact size and immense gravitational attraction. A black hole can form when enough matter or energy is compressed into a volume small enough that the escape velocity is greater than the speed of light. Nothing can travel that fast, so nothing within a certain distance, proportional to the mass of the black hole, can escape beyond that distance. The region beyond which not even light can escape is the event horizon; an observer outside it cannot observe, become aware of, or be affected by events within the event horizon.: 25–36  Alternatively, using a set of infalling coordinates in general relativity, one can conceptualize the event horizon as the region beyond which space is infalling faster than the speed of light. (Although nothing can travel through space faster than light, space itself can infall at any speed.) Once matter is inside the event horizon, all of the matter inside falls inevitably into a gravitational singularity, a place of infinite curvature and zero size, leaving behind a warped spacetime devoid of any matter; a classical black hole is pure empty spacetime, and the simplest (nonrotating and uncharged) is characterized just by its mass and event horizon.: 37–43 Our current understanding of quantum physics can be used to investigate what may happen in the region around the event horizon. In 1974, British physicist Stephen Hawking used quantum field theory in curved spacetime to show that in theory, instead of cancelling each other out normally, the antimatter and matter fields were disrupted by the black hole, causing antimatter and matter particles to "blip" into existence as a result of the imbalanced matter fields, and drawing energy from the disruptor itself: the black holes (to escape), effectively draining energy from the black hole. In addition, not all of the particles were close to the event horizon, and the ones that were, could not escape. In effect this energy acted as if the black hole itself was slowly evaporating (although it actually came from outside it).However, according to the conjectured gauge-gravity duality (also known as the AdS/CFT correspondence), black holes in certain cases (and perhaps in general) are equivalent to solutions of quantum field theory at a non-zero temperature. This means that no information loss is expected in black holes (since the theory permits no such loss) and the radiation emitted by a black hole is probably the usual thermal radiation. If this is correct, then Hawking's original calculation should be corrected, though it is not known how (see below). A black hole of one solar mass (M☉) has a temperature of only 60 nanokelvins (60 billionths of a kelvin); in fact, such a black hole would absorb far more cosmic microwave background radiation than it emits. A black hole of 4.5×1022 kg (about the mass of the Moon, or about 133 μm across) would be in equilibrium at 2.7 K, absorbing as much radiation as it emits. Formulation In 1972, Jacob Bekenstein developed a theory and reported that the black holes should have an entropy. Bekenstein's theory and report came to Stephen Hawking's attention, leading him to think about radiation due to this formalism. Hawking's subsequent theory and report followed a visit to Moscow in 1973, where Soviet scientists Yakov Zeldovich and Alexei Starobinsky convinced him that rotating black holes ought to create and emit particles. Even still, Russian physicist Vladimir Gribov believed that even a non-rotating black hole should emit radiation. Hawking would find aspects of both of these arguments true once he did the calculation himself.According to the physicist Dmitri Diakonov, there was an argument between Zeldovich and Vladimir Gribov at the Zeldovich Moscow 1972–1973 seminar. Zeldovich believed that only a rotating black hole could emit radiation, while Gribov believed that even a non-rotating black hole emits radiation due to the laws of quantum mechanics. This account is confirmed by Gribov's obituary in the Physics-Uspekhi by Vitaly Ginzburg and others. Emission process Hawking radiation is dependent on the Unruh effect and the equivalence principle applied to black-hole horizons. Close to the event horizon of a black hole, a local observer must accelerate to keep from falling in. An accelerating observer sees a thermal bath of particles that pop out of the local acceleration horizon, turn around, and free-fall back in. The condition of local thermal equilibrium implies that the consistent extension of this local thermal bath has a finite temperature at infinity, which implies that some of these particles emitted by the horizon are not reabsorbed and become outgoing Hawking radiation.A Schwarzschild black hole has a metric (ds)2=−(1−2Mr)(dt)2+1(1−2Mr)(dr)2+r2(dΩ)2.{\displaystyle (\mathrm {d} s)^{2}=-\left(1-{\frac {2M}{r}}\right)\,(\mathrm {d} t)^{2}+{\frac {1}{\left(1-{\frac {2M}{r}}\right)}}\,(\mathrm {d} r)^{2}+r^{2}\,(\mathrm {d} \Omega )^{2}.}The black hole is the background spacetime for a quantum field theory. The field theory is defined by a local path integral, so if the boundary conditions at the horizon are determined, the state of the field outside will be specified. To find the appropriate boundary conditions, consider a stationary observer just outside the horizon at position r=2M+ρ28M.{\displaystyle r=2M+{\frac {\rho ^{2}}{8M}}.}The local metric to lowest order is (ds)2=−(ρ4M)2(dt)2+(dρ)2+(dX⊥)2=−ρ2(dτ)2+(dρ)2+(dX⊥)2,{\displaystyle (\mathrm {d} s.... Discover the Steven S Gubser Frans Pretorius popular books. Find the top 100 most popular Steven S Gubser Frans Pretorius books.

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  • The Stoic Mind synopsis, comments

    The Stoic Mind

    Addy Osmani & GoLimitlesss

    Discover the timeless wisdom of Stoicism in a modern context with "The Stoic Mind," an enlightening visual guide by Addy Osmani and GoLimitlesss. This rich exploration co...

  • Salvation synopsis, comments

    Salvation

    Meghan O'Flynn

    If you like mouthy detectives, serial killers, and suspenseful mysteries that don't quit, this chilling and actionpacked hardboiled detective series has you covered! Try this ...

  • Hard Love synopsis, comments

    Hard Love

    Peyton Banks

    He was football royalty. Legendary quarterback. A champion.  Reiner Strickland had led his team to three national championships and playing a knight in shining armor was a...

  • Noxious synopsis, comments

    Noxious

    Lexy Timms

    Stop setting yourself on fire to keep someone else warm. Brady and Levi have been together since high school, since before he became famous and started thinking only about himself....

  • Peace on Earth synopsis, comments

    Peace on Earth

    Maia Ross

    Crime never takes a holiday. Why should Irma? Irma Abercrombie is an energetic retiree with a shadowy past, a mean right hook, and a profound love of Christmas. Surrounded by seaso...

  • The Cupcake Cottage synopsis, comments

    The Cupcake Cottage

    Jean Oram

    NHL player Maverick Blades could fall in love with anyone... But he had to fall for a woman who falls under the Bro Code as untouchablehis best friend’s beautiful ex, DaisyMae Ray....

  • Saltwater Cove synopsis, comments

    Saltwater Cove

    Amelia Addler

    Second chances...and the secrets that sabotage them. At 48 years old, Margie Clifton never expected to be starting her life all over again. But when her brother gifts her a propert...

  • Law of Attraction synopsis, comments

    Law of Attraction

    Jordan Hollis

    How to Finally Overcome the Hurdles of Manifesting Proven, effective and enjoyable ways to help you manifest faster… Right now, think of something that makes you successful. If you...

  • School of Potential synopsis, comments

    School of Potential

    W.J. May

    USA Today Bestselling author, W.J. May brings you a continuation of the international bestselling series, The Chronicles of Kerrigan! Come back and enjoy the famous characters, or ...

  • Eternal synopsis, comments

    Eternal

    W.J. May

    She will fight for what is hers. When the king is murdered, Katerina, his only daughter, must flee for her life. She finds herself on a strange and dangerous path. Alone for the fi...

  • The Holy Bible - King James Version synopsis, comments

    The Holy Bible - King James Version

    King James

    Holy Bible King James Version Few Sample Paragraphs from The Holy Bible eBook, Genesis (OT) 1 Gen. 1 IN the beginning God created the heaven and the earth. 2 And the earth was with...

  • Enemies With Benefits synopsis, comments

    Enemies With Benefits

    Roxie Noir

    I don’t love him. I don’t even like him. I just want him. Eli Loveless was my nemesis from the first day of kindergarten until we graduated high school. Everything I did, he had to...

  • A Green Kind of Witch synopsis, comments

    A Green Kind of Witch

    Sierra Cross

    Cinderella crossed with Mean Girls.   That's what Hazel's daily existence feels like. Born to a family of elegant yet shallow Beige Witches, seventeen y...

  • Christmas in Sweetbriar Cove synopsis, comments

    Christmas in Sweetbriar Cove

    Melody Grace

    Celebrate the holidays in Sweetbriar Cove with this festive romance collection, containing two sizzling smalltown holiday stories perfect for fans of Tessa Bailey, Sophie Kinsella...

  • Once Upon A One-Night Stand synopsis, comments

    Once Upon A One-Night Stand

    Zoey Locke

    At first sight, there was electrifying chemistry.  So why not go for it? After all, Lynx Grove, the city's most eligible bachelor, wants to claim her, at least for th...

  • Think and Grow Rich synopsis, comments

    Think and Grow Rich

    Greg Habstritt & Napoleon Hill

    Think and Grow Rich is one of the most popular success book of alltime, having sold more than 60 million copies since it was first published more than 70...

  • All Fired Up synopsis, comments

    All Fired Up

    Kathryn Shay

    Captain Jarek Zenko, a war veteran and firefighter, meets Lacey Roth at a bar one night. They don’t share their real identities, even when they retreat to a hotel. When they meet t...

  • Dark Psychology and Manipulation synopsis, comments

    Dark Psychology and Manipulation

    Margaret Morrison

    THE MENTAL MANIPULATOR WILL NO LONGER KEEP SECRETS FROM YOU! Are you fed up with the wool being pulled over your eyes?Are you prepared to stand up to those who believe they can man...

  • Tempting the King synopsis, comments

    Tempting the King

    Jessa York

    An escaped Mafia Queen, hiding from her past. A Mafia King who wants to claim her… Giselle They think I'm lostbut I know better. I can never be found. The path I've creat...

  • You Are Kind synopsis, comments

    You Are Kind

    Michael Gordon

    A little kindness goes a long way. How can you help encourage your kids to be kind from a young age? Teach kindness to preschoolers Acts of kindness can be fun, easy, and make a ...

  • Whiskey Girl synopsis, comments

    Whiskey Girl

    Melissa Belle

    They'll do anything for each other…except commit. Logan Wild isn’t just the hottest broncriding cowboy in Texas. He’s also my best friendwith benefits. And that’s all we’ll ev...

  • A Bookshop to Die For synopsis, comments

    A Bookshop to Die For

    M.P. Black

    Ditching her fiancé at the altar, Alice Hartford bolts to her childhood hometown to reconnect with the last, happy remnant of her past: her mom's old bookstore. But the bookst...

  • Caught Up with the Captain synopsis, comments

    Caught Up with the Captain

    Kait Nolan

    Can a retired naval commander and the love he left behind overcome a 34yearold secret to find their way to a second chance? Captain Mitchell Greyson is a man who believes in duty. ...

  • The Next Girl synopsis, comments

    The Next Girl

    Carla Kovach

    IF YOU ONLY READ ONE BOOK THIS YEAR, MAKE IT THE NEXT GIRL... You thought he’d come to save you. You were wrong. ‘ Absolutely the best thriller I’ve read this year! ’ Goodreads Rev...

  • His Own Heaven synopsis, comments

    His Own Heaven

    Jennie Kew

    Winner of the 2021 Passionate Plume Award for BDSM Romance Finalist in the 2021 Stiletto Contest for Contemporary Romance He taught her to trust, she taught him to love. ​ Lucy Bar...

  • How to Choose a Guy in 10 Days synopsis, comments

    How to Choose a Guy in 10 Days

    Lila Monroe

    The only thing more hilarious than the movies is… real life?! Fall in love with the sizzling grumpysunshine romantic comedy perfect for fans of Sophie Kinsella and Ali Hazlewood! ...

  • Hot Off the Press synopsis, comments

    Hot Off the Press

    Lexy Timms

    "This is what really happened… reported by a free press, for a free people…" Wes Shaw leads a secret double life. As the secret owner of a billion dollar newspap...

  • Silenced Girls synopsis, comments

    Silenced Girls

    Roger Stelljes

    “ Wow wow wow!  Grips you in a choke hold and  does not let go … Oozes suspense and  bonechilling twists and turns .  Astonishing … One of those...

  • Little Women synopsis, comments

    Little Women

    Louisa May Alcott

    An Apple Books Classic edition. Meet the Marches! Louisa May Alcott’s classic introduces us to four unforgettable sisters: beautiful Meg, tomboyish Jo, delicate Beth, and Amy, the ...

  • Dracula synopsis, comments

    Dracula

    Bram Stoker

    An Apple Books Classic edition. Few characters have seized readers’ imaginations quite like Count Dracula of Transylvania, the hero of Bram Stoker’s classic. The 1897 novel put vam...

  • Teased by Fire synopsis, comments

    Teased by Fire

    Molly O'Hare

    From USA Today bestselling author Molly O’Hare comes an enemiestolovers, older brother’s best friend, romantic comedy with a curvy, antisocial, supernaturalobsessed, allyearround h...

  • The Four Loves synopsis, comments

    The Four Loves

    C. S. Lewis

    The Four Loves summarizes four kinds of human loveaffection, friendship, erotic love, and the love of God. Masterful without being magisterial, this book's wise, gentle, candi...

  • Teach Me synopsis, comments

    Teach Me

    Cassandra Dean

    From awardwinning author Cassandra Dean comes a tale where lessons of pleasure between a curious, sunshine widow and a dissolute, grumpy earl leads to passion and allconsuming love...

  • The Seduction Series Boxset synopsis, comments

    The Seduction Series Boxset

    Roxy Sloane

    “Sensual, thrilling and wild!”   Discover the bestselling series in one collection: THE SEDUCTION, THE BARGAIN, and THE INVITATION. Perfect for fans of Ana Huang, Sierra S...

  • The Art of War synopsis, comments

    The Art of War

    Sun Tzu

    An Apple Books Classic edition. It’s believed that Sun Tzu wrote this Chinese military primer during the 5th century BChundreds of years before the Bible. The book’s 13 chapters ex...

  • The Scarlet Letter synopsis, comments

    The Scarlet Letter

    Nathaniel Hawthorne

    An Apple Books Classic edition. Hester Prynne lives in infamy. After committing adultery and bearing a child with a man whose name she refuses to divulge, the heroine of Nathaniel ...

  • Just Me synopsis, comments

    Just Me

    Lexy Timms

    We all need somewhere where we feel safe… After leaving her abusive husband, Katherine Marshall is out on her own for the first time. She's hopped from city to city to avoid t...

  • Pride and Prejudice synopsis, comments

    Pride and Prejudice

    Jane Austen

    An Apple Books Classic edition. Jane Austen’s beloved classic opens with this witty and very memorable line: “It is a truth universally acknowledged, that a single man in possessio...

  • Awaken Me synopsis, comments

    Awaken Me

    Jenna Jacob

    He was more than a ghost haunting my dreams…he was real. By day, I’m Julianna Garrett …a prim, proper accountant. By night, I’m tormented by dreams of an alpha, ambereyed Adonis wh...

  • Become A Better Version of Yourself synopsis, comments

    Become A Better Version of Yourself

    Ben Leighton

    This ebook contains golden nuggets on how to motivate, inspire and improve your current situation. It encompasses the holistic view of self improvement from mental& emotion...

  • Bewitching a Highlander synopsis, comments

    Bewitching a Highlander

    Roma Cordon

    Defying all for the love of a bewitching lass. Breena MacRae, a healer from Skye with a touch of witchery in her blood, embarks on a dangerous search for her missing father. She ar...

  • Good Guy synopsis, comments

    Good Guy

    Kate Meader

    He's a Special Forces veteran making his pro hockey debut. She's a dogged sports reporter determined to get a scoop. She's also his best friend's widow . . . Fa...

  • Inception of Gold synopsis, comments

    Inception of Gold

    Lexy Timms

    Things are not as bad as they seem. They are worse. Being the personal assistant to a narcissistic actress who just happens to own the key to my family's undoing isn't ex...

  • The Wonderful Wizard of Oz synopsis, comments

    The Wonderful Wizard of Oz

    L. Frank Baum

    An Apple Books Classic edition. You’ve seen the iconic 1939 movie, but do you know about the talking field mice, the Winkies, and the Witch of the North that appear in the original...

  • Nothing to Hide synopsis, comments

    Nothing to Hide

    Scarlett Finn

    Prize of a lifetime: travel the world with a celebrity billionaire. Come to LA with us, Roxie… It will be so much fun! We have tickets for a latenight talk show! What could possibl...

  • Dream Psychology synopsis, comments

    Dream Psychology

    Sigmund Freud

    An Apple Books Classic edition. Written by the founding father of psychoanalysis, Sigmund Freud’s 1899 book is the definitive text on learning to interpret dreams. Freud’s groundbr...

  • His Girl Next Door synopsis, comments

    His Girl Next Door

    Khardine Gray

    From USA Today Bestselling author Khardine Gray comes a sizzling hot single dad romance you won't want to miss. No strings attached fun with the ubergorgeous single d...

  • Alpha synopsis, comments

    Alpha

    Sybil Bartel

    Billionaire. Mercenary. Navy SEAL. The Teams trained me to be a killer. War taught me to be ruthless. Then an illfated mission proved I was human. Combat wounded, cut loose by the ...

  • Meditations synopsis, comments

    Meditations

    Emperor of Rome Marcus Aurelius

    Meditations is a series of personal writings by Marcus Aurelius, Roman Emperor 161–180 CE, setting forth his ideas on Stoic philosophy.

  • Wuthering Heights synopsis, comments

    Wuthering Heights

    Emily Brontë

    An Apple Books Classic edition. If you’ve only ever seen Wuthering Heights on screen, you may have an image of Catherine and Heathcliff as the ultimate starcrossed lovers. But that...