Theories of the Causes of Black Holes

Theories of the Causes of Black Holes Black Holes The phrase â€Å"black holes† is introduced to scientific world not by a physicist but a journalist, Ann Ewing in 1964, who made a report on a meeting of the American Association for the Advancement of Science (Ewing, 1964). Some elegant French argued that the phrase has annoying sexual insinuation. After that, the famous physics John Wheeler spread the â€Å"black holes† widely in physics and the public view. Actually the concept of an object so massive that even the light can’t be escaped is proposed by Michell (1783), as well as by Laplace (Gillispie, 2000) But this idea was so radical at that time when the light was thought to be massless. The golden age of black holes came along with the establishment of the generally relativity by A. Einstein (OConnor, 1996). Schwarzschild and Droste solved the Einstein field equations independently and a solution describing a point mass was found (Schwarzchild, 1916; Droste, 1917). The properties of the black holes are dev eloped and explained by a group of important works. G. Lemaitre and R. Oppenheimer have interpreted the singularity (Hooft, 2009; Ruffini, 1971). The event horizon is defined as a boundary inspace and time, inside which an event can’t be observed by the outsider (Wheeler, 2007). The no-hair theory of the black hole is completed by the work of Carter (1971), Israel (1967) and Robinson (1975), declaring that a stationary black hole can be described by only three parameters: the mass, the charge and the angular momentum. The black hole thermodynamics is interpreted by Bardeen et al. (1973). In order to get a direct physical picture of a black hole, an illustration of a non-spinning black hole is given. Based on mathematically solution, a non-spinning black hole possesses a spherically symmetric boundary, which is also the event horizon. The center of the non-spinning black hole is a singularity where the gravitational forces become infinite. The distance between the singularity and the event horizon is called the Schwarzschild radius. The surface gravity of a stationary black hole is constant over the event horizon. One thing to be noted, it is impossible by any procedure, no matter how idealized, to reduce the surface gravity to zero by a finite sequence of operations. Aphoton sphere, the radius of which is 1.5 times of the Schwarzschild radius, is a  spherical  special region where  gravity  forces the  photons  to travel in orbits. Generally the black hole is classified to four groups according to their mass: micro, stellar, intermediate-mass and super ma ssive black hole. Generally the size of a black hole is approximately proportional to its mass, the heavier of a black hole, the bigger of its size. A black hole with mass of 1000 times of solar mass has a radius like the earth. The formation of a black hole is a mystery. Einstein thought that the exotic object, like black holes, would not exist in nature even there are such solutions to Einstein gravitationalfield equations. However, more and more theoretical calculations and even important astronomical observations have proved that Einstein is wrong. Most astrophysicists have reached an agreement that the formation of a black hole usually evolves many stages. First the primary process of the evolution is the gravitational collapse, which is usually occurs after the death of a heavy object, like stars. When a star doesn’t have enough â€Å"fuel† to keep its temperature through nuclearreaction or the star is keeping absorbing matters around it by universalgravitation. After the collapse, if the mass of leftover exceeds over 3 to 4 times of solar mass, it has an opportunity to form a black hole. The second stage is the formation of the event horizon, which is also the way to distinguish the blac k holes and other forms of objects, such as neutron stars, which are also a result of the gravitational collapse. Thanks to the work of Kerr (2009), who proved that the event horizon could be physical not just mathematical. According to the black holes thermodynamics, the area of the event horizon of each black hole does not decrease with time. After the presence of the event horizon, a singularity will form in a black hole (Penrose, 1965). This is considered to be the third stage. A black hole can continually grow up by absorbing the matters and interstellar dust or even merges with other stars or black holes. This is considered to be a way to super massive black holes. The last stage of black holes is the evaporation. If the Hawking’s theory can be verified, a black hole is not totally black but emits its thermal radiation with a quite small quantity. This means that a black hole would loss its mass by Hawking radiation (Parikh, 2000) and vanishes eventually. Simulation res ults show that a small black hole owns very strong emission effects. The Hawking radiation will be discussed in details. Once the scientific world accepts the concept of black holes, a question is launched: are the black holes keep growing and expanding? Hawking says no! By applying quantum field theory into a stationary black hole background, he found that a black hole should radiate particles like a black body near the event horizon (Hawking, 1974). Physical picture to this bizarre phenomenon is the radiation is not come from the black holes directly, but the results of particle-antiparticle formation just beyond the event horizon. Specifically, a particle-antiparticle pair generated from the vacuum fluctuations appears close to the event horizon. One of the pair escapes forms the boundary while another one falls into it (Droste, 1917). Another interesting question is: how can be detected a black hole where even light can’t escape? The direct way is to probing the Hawking radiation, unfortunately the simulation results show that the Hawking radiation is too small to be detected from the Earth. In 2008 NASA launched the Fermi Gammar-ray Space Telescope to search the Hawking radiation which is strong in the last stage of a black hole (Naeye, 2008). Beyond the detection of Hawking radiation. Many indirect approaches to detecting black holes are proposed and realized by astrophysicists. The X-ray binaries, a binary star system, emit bright X-ray spectrum. The XUV radiation is generally considered to be caused by a compact star being accreting interstellar gas and dust. The presence of the X-ray binary gives an opportunity to locating a black hole. In 1999, Celotti reported the existence of the sofr X-ray transients and predicted that a black hole may be formed in the region (Celotti, 1999). Still more data and needed to verify this finding. Another way to detect a black hole is based on the massive gravitational effect caused by the black holes. On candidate is the gravitational lens effect which deforms the space structure to bend the light as if a lens. The way to observe the gravitational lens effect is to observe the orbit of a star near the vicinity of a black hole. The evidence of the black holes caused gravitational lens i s found by Bozza et al. (2010) around Sagittarius A*. A widely accepted view is that a super massive black holes exists in nearly the center of every galaxy, not just active ones. When an observer is falling into a black hole, what kind of experience would he have? Theorists argue that if another observer out of the black holes tries to describe the falling one he should never be able to cross the horizon. This means, the falling one should take infinite time to cross the event horizon if he were not torn apart by tidal forces even before reaching the horizon. On the other hand, for this observer falling across the event horizon, he takes only a finite proper time in his own coordinate. However, he will not find any Hawking radiation. In fact this paradox comes from the contradiction between the general gravitational theory and the quantum mechanism. The two theories are successful in their own regions, general gravitational theory for cosmic and the quantum mechanism for atomic particles, but they can’t fit each other. The funny thing is that Einstein is against the quantum mechanism even he is one of the founders to it and even he was rewarded the Nob ile Prize for his important work in quantum mechanism. Until now this is still an open question to the theoretical and astronomical physicists. The black holes attract attentions both from scientists and the public. At first, it is only a mathematical expression for a special space time structure where nothing can be escape from it and described in scientific fictions. However with the appearances of more and more indirect evidences, it turns out to be reality with certain possibility. From scientific view of point, the black holes own unique properties and components, such as singularity, the event horizon, Hawking radiation. The black holes can provide particular physical conditions where new physical laws and principles can be verified. The researches on black holes push the frontier of astronomy, including worm holes, interstellar travel between stars, cosmic settlement. Fortunately we have plenty of time, maybe millions of years. References Bardeen, J. M. et al. (1973). The four laws of black hole mechanics. Communication Mathematical Physics, Vol. 31. pp. 161-170. Bozza, V. (2010). Gravitational lensing by black holes.General Relativity and Gravitation, Vol. 42. No.42. pp. 2269–2300. Carter, B. (1971). Axisymmetric black hole has only two degrees of freedom. Physical Review Letters  Vol. 26. No. 6. pp.331-333. Celotti, A.; Miller, J. C.; Sciama, D. W. (1999). Astrophysical evidence for the existence of black holes.Classical and Quantum Gravity,  Vol. 16. No.12. pp. A3–A21. Droste, J.(1917). On the field of a single centre in Einsteins theory of gravitation, and the motion of a particle in that field.  Proceedings Royal Academy Amsterdam, Vol.19.No. 1. pp. 197–215. Droste, J.(2009). On the field of a single centre in Einsteins theory of gravitation, and the motion of a particle in that field.  Proceedings Royal Academy Amsterdam,Vol. 19. No.1. pp.197–215. Gillispie, C., Laplace, P. (2000). 1749–1827: a life in exact science. Princeton University Press. Hawking, S. W. (1974). Black hole explosions?  Nature,Vol. 248.No. 5443. pp. 30–31. Hooft, G.t. (2009). Introduction to the theory of black holes. Institute for Theoretical Physics / Spinoza Institute. pp.47–48. Israel, W. (1967). Event Horizons in Static Vacuum Space-Times.Physical Review  Vol. 164. No. 5. pp. 1776-1779. Kerr, R. P. (2009). The Kerr and Kerr-Schild metrics. Spacetime. Cambridge University Press. Michell, J. (1784).  Philosophical Transactions of the Royal Society, No.74. pp. 35–57. Naeye, R.(2008). Testing fundamental physics. NASA. OConnor, J.J., and Robertson, E.F. (1996). General relativity.University of St. Andrews, Scotland. Parikh, M., Wilczek, F. (2000). Hawking radiation as tunneling. Physical Review Letters, No. 26. No. 21. pp. 1344-1346. Penrose, R.(1965). Gravitational collapse and space-time singularities. Physical Review Letters,Vol. 14. No.3. pp. 57-59. Quinion, M.(2008).  Black Hole.World Wide Words. Robinson, D. (1975). Uniqueness of the Kerr black hole.  Physical Review Letters,Vol. 34. No. 14. pp. 905-906. Ruffini, R.;Wheeler, J. A.(1971). Introducing the black hole.Physics Today,Vol. 24No. 1. pp. 30–41. Schwarzschild, K.(1916). ÃÅ"ber das gravitationsfeld eines massenpunktes nach der Einsteinschen theorie.Sitzungsberichte der Kà ¶niglich Preussischen Akademie der Wissenschaften,No. 7. pp. 189–196. Wheeler, J. Craig. (2007).  Cosmic catastrophes. Cambridge University Press.

Low Visibility Essay

The short story â€Å"Low Visibility† by Margaret Murphy is a fictional story, which deals with many topics, such as violence, love, hate, oppression, and right and wrong and the story is told by an un ­instructed and omniscient 3. person narrator who tells the story as it unfolds. The plot takes off in medias res as we are thrown into a scene where Laura’s husband John is watch ­ing television without any introduction. The structure in the story lets us jump a bit back and forth between two settings, as we are shown what is happening in the streets though Johns television, while we are also following the main characters in the apartment. So the story unfolds two places: the streets and John and Laura’s apartment. The setting shows that Laura and John does not have a lot of money, and are probably low class or low middle class because they live in an apartment above a shop, which is not normally a location those people would choose to live. There is also smaller details that support this, like the fact that John wears boots inside, and John feels that his wife should not be trusted with anything of value, which might be an indication that they don’t really have many things of value. The title â€Å"Low Visibility† is a synonymous of Laura. She does not have anything to say at home, and she is John submissive. Margaret Murphy plays on this pun, by letting Laura feel invisible to her very filling husband, John. At the end of the story, Laura walks outside and joins the people of low visibility. Thereby she gets over John, and she does not want him to be a part of her life any more. Margaret Murphy shows this by now referring to her by her real name. We don’t hear a lot of factual stuff about Laura, how she looks and so on, but we do know a lot about her character. She used to be a happy, out going person and now her husband has squeezed the spirits out her( P.8 l.19-24). Laura is now a humble, nervous, humourless, unhappy and very submissive person: â€Å"Better that he hurt her absent-mindedly, as a man might puncture and tear at the rim of a polystyrene cup. It comforts her that there is no malice in it. She has learned to find solace in small things.(p. 9 l. 49-51) From this, it is obvious that their marriage is deeply dysfunctional. â€Å" People say he’s light on his feet for a big man, but he never was so with her. When he walked all over her, she felt it.†(P. l. 105-106). The sentence clearly describes their marriage pretty much. He doesn’t know how to love and she can’t stand up for herself. When he is described as a big man, it also symbolizes how he is both verbally and physically abusive and more in control than her. John as young he was always the outsider. The sort of person who always slouched at the edge of a group, eager to be a part of it, but never really was accepted and respected by the others. And exactly this depressing role was the reason for his and Laura’s marriage in the first place. She wanted to help him, to teach him how to interact with others socially. And he was hoping for about the same; that her popularity would make him popular too: â€Å"He thought that her good humour would seep into him, breaching the walls of his defences, that happiness was something that could be absorbed, as a plant takes in water, by osmosis.†(P. 8 l.19-22) Yet it did not work out the way they planned. He simply didn’t have the abilities: â€Å"He hadn’t the in ­telligence for wit or the disposition for contentment†¦Ã¢â‚¬ ( P. 22-24) The masses in the street are revolting because of some sort of oppression even though it is not said directly in the text what they are protesting against, and like he doesn’t have the intelligence to un ­derstand his wife, neither does he understand the people in the street:†What are they protesting about?’ John demands. â€Å"Their own shitty lives?’’(p. 8 l. 14). The riots are like Laura, just in a big ­ger scale. Because John does not understand this, he goes down to the store to fight off all of the looters, to strangle their protest like he strangled her spirit, but when he is beaten up and is lying on the ground, Laura sees that he is just a man, a man who feels afraid. Laura realizes that a person has ability to change. She is revived. â€Å"She feels herself returning – the particles of herself that her hus ­band caused to flee are returning into her† (P12 l. 161-163). She considers killing him with a brick, but chooses the Tigers Eye instead which is placed in her other hand. The Tigers Eye symbolizes that she is focus, patience like a tiger who concentrates on its desire. In this case, Laura’s desire is to be free. The most important is the importance of fighting for your rights and freedom. Laura’s marriage has reduced her to a simple object with no liberty or human rights. As the story however approaches, she realizes that she will have to stand up against her husband, if she wants the situation changed. When Laura walks away, she walks away to be invisible again, to join the invisible people (P. 12 l. 173). She fight oppression and changed the situation, like it is naturally to fight oppression. Some ­times you need a little push like Laura did, but essentially it is inevitable. It secures human survival, and it secured her mental survival. â€Å"A window explodes behind her, sending cascades of glass, mu ­sical, deadly, to the pavement. Laura is unharmed† (P. 12 l .78)

Exam 2

BIOS102- 250  Fall  2012  Sample  Second  Exam MULTIPLE  CHOICE. Choose  the  one  alternative  that  best  completes  the  statement  or  answers  the  question. 1) Which  of  the  following  statements  describes  NAD + ? A) In  the  absence  of  NAD + ,  glycolysis  can  still  function. B) NAD+   is  reduced  to  NADH  during  glycolysis,  pyruvate  oxidation,  and  the  citric  acid  cycle. C) NAD+   can  donate  electrons  for  use  in  oxidative  phosphorylation. D) NAD+   has  more  chemical  energy  than  NADH. E) NAD+   is  oxidized  by  the  action  of  hydrogenases. ) During  glycolysis,  when  each  molecule  of  glucose  is  catabolized  to  two  molecules  of  pyruvate,  most  of  the potential  energy  contained  in  glucose  is A) stored  in  the  NADH  produced. B) transferred  directl y  to  ATP. C) transferred  to  ADP,  forming  ATP. D) retained  in  the  two  pyruvates. E) used  to  phosphorylate  fructose  to  form  fructose  6 – phosphate. 3) Starting  with  one  molecule  of  glucose,  the  energy – containing  products  of  glycolysis  are A) 6  CO2 ,  30  ATP,  and  2  pyruvate. B) 2  NAD+ ,  2  pyruvate,  and  2  ATP. C) 6  CO2 ,  2  ATP,  and  2  pyruvate. D) 2  FADH2 ,  2  pyruvate,  and  4  ATP. E) 2  NADH,  2  pyruvate,  and  2  ATP. ) Why  is  glycolysis  described  as  having  an  investment  phase  and  a  payoff  phase? A) It  uses  stored  ATP  and  then  forms  a  net  increase  in  ATP. B) It  both  splits  molecules  and  assembles  molecules. C) It  uses  glucose  and  generates  pyruvate. D) It  attaches  and  detaches  phosphate  group s. E) It  shifts  molecules  from  cytosol  to  mitochondrion. 5) The  primary  role  of  oxygen  in  cellular  respiration  is  to A) combine  with  lactate,  forming  pyruvate. B) yield  energy  in  the  form  of  ATP  as  it  is  passed  down  the  respiratory  chain. C) act  as  an  acceptor  for  electrons  and  hydrogen,  forming  water. D) combine  with  carbon,  forming  CO 2 .E) catalyze  the  reactions  of  glycolysis. 6) In  liver  cells,  the  inner  mitochondrial  membranes  are  about  five  times  the  area  of  the  outer  mitochondrial membranes. What  purpose  must  this  serve? A) It  increases  the  surface  for  oxidative  phosphorylation. B) It  allows  for  an  increased  rate  of  glycolysis. C) It  increases  the  surface  for  substrate – level  phosphorylation. D) It  allo ws  the  liver  cell  to  have  fewer  mitochondria. E) It  allows  for  an  increased  rate  of  the  citric  acid  cycle. 1 7) In  the  absence  of  oxygen,  yeast  cells  can  obtain  energy  by  fermentation,  resulting  in  the  production  of A) ATP,  pyruvate,  and  acetyl  CoA.B) ATP,  CO2 ,  and  lactate. C) ATP,  NADH,  and  pyruvate. D) ATP,  pyruvate,  and  oxygen. E) ATP,  CO2 ,  and  ethanol  (ethyl  alcohol). 8) Phosphofructokinase  is  an  allosteric  enzyme  that  catalyzes  the  conversion  of  fructose  6 – phosphate  to  fructose 1,6- bisphosphate,  an  early  step  of  glycolysis. In  the  presence  of  oxygen,  an  increase  in  the  amount  of  ATP  in  a cell  would  be  expected  to A) inhibit  the  enzyme  and  thus  increase  the  rates  of  glycolysis  and   the  citric  acid  cycle. B) activate  the  enzyme  and  thus  slow  the  rates  of  glycolysis  and  the  citric  acid  cycle. C) inhibit  the  enzyme  and  thus  slow  the  rates  of  glycolysis  and  the  citric  acid  cycle.D) inhibit  the  enzyme  and  thus  increase  the  rate  of  glycolysis  and  the  concentra tion  of  citrate. E) activate  the  enzyme  and  increase  the  rates  of  glycolysis  and  the  citric  acid  cycle. 9) Which  of  the  events  listed  below  occurs  in  the  light  reactions  of  photosynthesis? A) Carbon  dioxide  is  incorporated  into  PGA. B) NADP  is  produced. C) Light  is  absorbed  and  funneled  to  reaction – center  chlorophyll  a. D) ATP  is  phosphorylated  to  yield  ADP. E) NADPH  is  reduced  to  NADP + . 10) Which  of  the  following   statements  best  describes  the  relationship  between  photosynthesis  and  respiration?A) Respiration  is  anabolic  and  photosynthesis  is  catabolic. B) ATP  molecules  are  produced  in  photosynthesis  and  used  up  in  respiration. C) Photosynthesis  stores  energy  in  complex  organic  molecules,  whereas  respiration  releases  it. D) Photosynthesis  occurs  only  in  plants  and  respiration  occurs  only  in  animals. E) Respiration  runs  the  biochemical  pathways  of  photosynthesis  in  reverse. 11) In  thylakoids,  protons  travel  through  ATP  synthase  from  the  thylakoid  space  to  the  stroma. Therefore,  the catalytic  ? knobs? of  ATP  synthase  would  be  located A) on  the  ATP  molecules  themselves.B) built  into  the  center  of  the  thylakoid  stack  (granum). C) on  the  pi gment  molecules  of  photosystem  I  and  photosystem  II. D) on  the  stromal  side  of  the  membrane. E) on  the  side  facing  the  thylakoid  space. 12) What  is  the  primary  function  of  the  Calvin  cycle? A) use  ATP  to  release  carbon  dioxide B) use  NADPH  to  release  carbon  dioxide C) synthesize  simple  sugars  from  carbon  dioxide D) split  water  and  release  oxygen E) transport  RuBP  out  of  the  chloroplast 2 13) Photorespiration  occurs  when  rubisco  reacts  RuBP  with A) 3 – phosphoglycerate. B) CO 2 . C) O2 . D) glyceraldehyde  3 – phosphate. E) NADPH. 4) Compared  to  C 3   plants,  C 4   plants A) make  a  four- carbon  compound,  oxaloacetate,  which  is  then  delivered  to  the  citric  acid  cycle  in mitochondria. B) have  higher  rates  of  photorespiration. C) can   continue  to  fix  CO 2   even  at  relatively  low  CO2 concentrations  and  high  oxygen  concentrations. D) grow  better  under  cool,  moist  conditions. E) do  not  use  rubisco  for  carbon  fixation. 15) Taxol  is  an  anticancer  drug  extracted  from  the  Pacific  yew  tree. In  animal  cells,  Taxol  disrupts  microtubule formation  by  binding  to  microtubules  and  accelerating  their  assembly  from  the  protein  precursor,  tubulin. Surprisingly,  this  stops  mitosis.Specifically,  Taxol  must  affect A) the  formation  of  the  mitotic  spindle. B) the  S  phase  of  the  cell  cycle. C) formation  of  the  centrioles. D) chromatid  assembly. E) anaphase. 16) Measurements  of  the  amount  of  DNA  per  nucleus  were  taken  on  a  large  number  of  cells  from  a  growing fungus. The  measured  DNA  levels  ranged  from  3  to  6  picograms  per  nucleus. In  which  stage  of  the  cell  cycle did  the  nucleus  contain  6  picograms  of  DNA? A) G1 B) G0 C) M D) S E) G2 17) What  is  a  cleavage  furrow? A) a  ring  of  vesicles  forming  a  cell  plate B) the  metaphase  plate  where  chromosomes  attach  to  the  spindle C) the  separation  of  divided  prokaryotesD) the  space  that  is  created  between  two  chromatids  during  anaphase E) a  groove  in  the  plasma  membrane  between  daughter  nuclei 18) Which  of  the  following  describe(s)  cyclin- dependent  kinase  (Cdk)? A) Cdk  is  present  throughout  the  cell  cycle  and  is  an  enzyme  that  attaches  phosphate  groups  to  other proteins. B) Cdk  is  inactive,  or  ? turned  off,? in  the  presence  of   cyclin. C) Cdk  is  an  enzyme  that  attaches  phosphate  groups  to  other  proteins. D) Cdk  is  inactive,  or  ? turned  off,? in  the  presence  of  cyclin  and  it  is  present  throughout  the  cell  cycle.E) Cdk  is  present  throughout  the  cell  cycle. 3 19) Why  do  neurons  and  some  other  specialized  cells  divide  infrequently? A) They  no  longer  carry  receptors  for  signal  molecules. B) They  no  longer  have  active  nuclei. C) They  have  been  shunted  into  G 0 . D) They  can  no  longer  bind  Cdk  to  cyclin. E) They  show  a  drop  in  MPF  concentration. 20) For  a  chemotherapeutic  drug  to  be  useful  for  treating  cancer  cells,  which  of  the  following  is  most  desirable? A) It  only  attacks  cells  that  are  density  dependent. B) It  interferes  with  cells  entering  G0 . C) It  interferes  with  rapidly  dividing  cells. Exam 2

The Democrats And The Whigs Were Polar Opposites Essay

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