Chapter 1
Relativity and Gravitation
1.1 Introduction
Einstein’s General Relativity (GR) is the standard theory of modern gravitation. It forms one of the key pillars of theoretical physics and has been enormously successful in its ability to explain real physical phenomena. The theory emerged out of an attempt to incorporate Newtonian gravity into Special Relativity (SR) and shortly after its inception in 1916, was successfully tested in the solar system where it instantly confirmed the predictions of the gravitational bending of light-rays coming from the Sun. This experiment was pioneered by Eddington who travelled to the tiny island of Principé o the coast ofWest Africa in 1919, in advance of an expected total solar eclipse. Not long after…show more content…
In this essay, the author
Describes the key pillars of theoretical physics and its enormous success.
Opines that gr is a highly successful theory which has not only radically modified the theory, but has also changed the world.
Opines that while there is little doubt that gr embodies the spirit of gravitational physics in the summary.
Explains that even cosmology suggests that gravity may not be described exactly by gr.
Describes the complicated issues arising from gr, including the lack of a consistent explanation of the problem.
Opines that the existence of the spiral arms of galaxies has placed considerable doubts on the validity of not only the theory.
Opines that as the list of inconsistencies in einstein’s theory of gravitation increases, more and more physicists are interested.
Analyzes how the general framework presented in modified theories of gravity has increased with each year.
Explains that binary pulsars can be used as probes for some aspects of the strong-gravity regime of gr.
Explains the times-of-emission of pulses, to their times of arrival on earth for a large class of metric theories.
Explains that the dynamical but quasi-linear regime can be used to verify the motion of compact objects.
Explains that the strong-field probes non-linear stellar-structural eects and are ineective.
Opines that blackhole accretion discs, may probe gr in the non-linear regime in verification.
Explains that only gravitational waves are capable of testing gr in the strong-field fully non-linear.
Describes possible deviations from gr that may be as large as 10 orders of magnitude more stringent.
Explains that tests of the theory within the solar system places a bound of! 40000, which implies that all its
Explains how gravity into special relativity (sr) was successfully tested in the solar system and confirmed the predictions of the gravitational bending of sr.
Explains how the theory gained credibility when it correctly explained the anomalous precession of the perihelion of mercury’s orbit.
Explains that tools were used to detect radiowaves from sources under the gravitational influence of the sun up to a few parts of 104.
Explains that the theory has passed with extraordinary precision, all the experimental and observational tests that it has been subjected to.
Explains that weak-field tests only probe the post-newtonian range of the theory, implying that relativistic eects are still important in this regime.
Explains that such terms significantly altered the theory leaving its field equations at fourth order rather than second.
Explains that even string theory at the low-energy limit fails to reproduce gr but instead produces a scalar-tensor theory of gravity.
Explains how a mysterious new field known as dark energy is introduced to explain the cosmic acceleration within the context of gr. its eects can best be described as anti-gravitation.
Explains that spacetime around a blackhole is easier to describe than the physical nature of the actual black hole.
Explains that evolution of a uniform and isotropic universe backward in time, results in the big bang.
Explains that curiosity is unphysical in the classical sense although these pathologies are heuristic or physical.
Explains that cosmologists have been forced to invoke yet another exotic and undetectable type of matter to explain galaxy dynamics.
Opines that tests of the theory in the dynamical strong-field regime have not been available.
Explains why direct strong-gravity measurements remain seemingly unattainable, citing the absence of an agreed consensus on the nature of the universe.
Describes hulse and taylor's discovery of the binary pulsar psr b1913+16 in the constellation aquila (the eagle) in 1975.
Explains that binary systems tend to have orbital periods of a few hours, including lightcrossing times, so that their orbitals velocities are of the order of
Explains that velocity is much less than the speed of light where v=c 1. the parametrized post-keplerian (ppk) formalism was constructed in 1992.
Explains that the strong gravitational field of relativistic compact objects such as blackholes, neutron stars or the early universe is subject to astrophysical observations.
Explains that binary pulsars initially played a key role as the initiators of indirect detection of gravitational waves. this later helped eliminate alternate theories such as rosen's bimetric gravity.
Explains that a binary system consisting of neutron stars and/or blackholes may merge, implying that direct gravitational wave detection is possible.
Explains that scalar-tensor theories of gravity (stt) are the most well-tested contenders to gr. they were first proposed in 1969 by brans and dicke (bd).
Opines that to construct an stt whose strong-field predictions deviate signicantly from gr while passing the stringent solar-system tests, it is necessary to generalize the bd theory by replacing the parameter!
Explains that they constructed a two-parameter family of models t( 0 ; 00) that passes solar system tests while predicting deviations from gr in the strongfield regime.
Explains that def constructed a quadratic extension of bd theory in 1993 to investigate stellar structure with one scalar field whose coupling to matter is determined by the
Explains that gr in the strong-field regime were induced by an interaction between matter and scalar fields via the conformal factor a().
Explains that spontaneous scalarization occurs in ferromagnets at low temperatures below the critical curie limit in gravitational physics.
These experimental tools were used to detect radiowaves from sources under the gravitational influence of the Sun up to a few parts of 104. Remarkably GR also predicted that electromagnetic signals from astrophysical sources should experience a time-delay as they propagate through a gravitational field [13]. Such a delay was measured for radiowaves transmitted from the Earth to the Cassini spacecraft [9] adding further confirmation of GR to a few parts in 105.
Suce to say that GR is a highly successful theory which has not only radically modified our understanding of gravity, space and time, but also possesses enormous predictive power.
After a whole century later, the theory has managed to pass with extraordinary precision, all the experimental and observational tests that it has been subjected to [198]. Among its most remarkable results are the predictions of exotic objects such as neutron stars, blackholes and an explanation…show more content…
Even on galactic scales, the unexpected and rather counter-intuitive solid-body rotational motion observed for the spiral arms of galaxies, has placed considerable doubts on the validity of not only
Chapter 1: Relativity and Gravitation 3
GR, but even Newtonian gravity which was thought to be adequate for explaining galaxy dynamics.
Cosmologists have been forced once again, to invoke yet another exotic and undetectable type of matter to explain galaxy dynamics. This time they called it dark matter, which is a contributor to the gravitational field accounting for about 20% of the energy density of the universe. This means that only 5% of the universe is observable and hence somewhat understandable [150, 151, 159].
Big Bang cosmology itself comes with its own set of issues related to the initial conditions of the universe namely: the horizon, flatness and exotic relic problems respectively. However, this list is far from exhaustive and a phenomenological approach called cosmic inflation, is frequently required to remedy the aforementioned pathologies [115, 113, 114].
As the list of inconsistencies in Einstein’s theory of gravitation increases, more and more
Talcott, Richard. “Is Time on Our Side?.” Astronomy Vol. 34, No. 2. Feb. 2006: 32-39. SIRS
In this essay, the author
Analyzes how time travel is becoming a new focus of study in the original h.g. wells novel, the time machine.
Explains that the intricacies of how time travel is theorized to work are not considered common knowledge.
Explains that time travel has a number of opponents who strongly believe it is not possible for it to occur. the grandfather paradox is one of the most prominent.
Analyzes how the opponents of time travel have a number of logical reasons why it is not possible, but the proponents of this debated topic have an equal amount of facts supporting them.
Explains the theory that time travel is possible. they explain how time-dilation, the effect of the rate of time changing around the universe, is analogous to a river winding down
Explains that there are both supporters and critics surrounding the worldly study of time travel. the critic stands behind paradoxes and the amount of energy required to travel through time to justify their opinion.
States buniy, roman v., and stephen d.h. hsu. semi-classical wormholes and time machines are unstable.
Explains that time travel paradoxes, path integrals, and the many worlds interpretation of quantum mechanics. kaku, michio. physics of the impossible.
Explains lobo, francisco, and paulo crawford's "time, closed timelike curves and causality". lycan, william g. and pogge, richard.
Explains thorne, kip s., and trefil, james. the physical possibilities of travel through time.
For thousands of years, philosophers and astronomers have been trying to determine the origin of our universe. The twentieth century proved to be a time of intense research in the fields of astronomy and physics. While science still searches for the solution uniting general relativity and quantum mechanics, some astrophysicists have conjectured about the implications of quantum gravity for the universe’s existence. The most exotic objects in our universe, black holes, may hold the key to the creation of our universe. Physicist Lee Smolin has been one of the most prominent theorists in this area of astrophysics. Smolin’s theory of cosmological natural selection attempts to explain the origin of our universe and its fundamental characteristics by using black hole singularities. While the theory has not been proven, its assumptions are based on the theory of evolution and provide a fascinating perspective into the nature of our universe.
In this essay, the author
Explains that philosophers and astronomers have been trying to determine the origin of our universe for thousands of years. some astrophysicists conjectured about the implications of quantum gravity for the universe's existence.
Explains that lee smolin's theory of cosmological natural selection is based off of two different theories.
Argues that smolin's theory of cosmological natural selection is not falsifiable, meaning that it cannot be proved wrong.
Explains that albert einstein's theory of general relativity is a basis for many of the information that we have collected from space.
Explains that the big bang theory is a postulate of how everything started, but there is no way to prove that it is accurate.
Explains the multi-universe theory, which is based on modern physics and quantum mechanics.
Opines that people are putting forth massive amounts of effort to try to answer every unanswerable question about our universe.
Explains rothman, t., and ellis, g.f.r. "smolin's natural selection hypothesis."
Explains that the theory of cosmological natural selection implies that black holes are essentially the gateways to newly created universes.
Explains smolin, lee, alpher, ralph a., and herman, robert. the life of the cosmos.
...se and everything in it at one time consisted in a very small mass. This mass contained an incredible amount of energy. The theory is that the Stephen's work in this field regarding blackholes, and imaginary time is unsurpassed by anyone and is truly remarkable.
In this essay, the author
Explains that they have always had an interest in science, especially in the sciences regarding outer space.
Opines that stephen is the front runner in his field. many of his peers consider him to be the greatest mind since einstein.
Explains that einstein's general relativity and quantum principle predicted radiation from black holes. gravitational collapse was not as much of a dead end as it had appeared.
Analyzes hawking's answer to the question of how to do the sum over histories for particles and the fabric of space and time. stephen compares imaginary time with the popular idea that the earth was round.
Opines that stephen will find the answers that he is seeking when hawking introduced this concept into the scientific world.
Explains stephen hawking's ultimate goal is to combine all of the information that he and his colleagues have gathered, into one gigantic theory that will allow us to predict the future with some degree of accuracy.
Explains how stephen disproved the possibility of a black hole and proved that they did exist.
Explains the big bang theory, which states that the universe and everything in it at one time consisted of a very small mass. stephen's work in this field regarding blackholes, and imaginary time is truly remarkable.
Cites hawking, stephen, black holes and baby universes and other essays, and penrose, roger, on relativity.
A year later, Einstein theorized the concept of gravitational waves, although he never proved it. A century later, in 2016, scientists finally proved the theory. Even long after his death, Einstein’s research is still influencing new scientific breakthroughs.
In this essay, the author
Explains that albert einstein was born in germany in 1879. he grew up in munich, germany, where his father and uncle collectively ran a company that produced electrical equipment.
Analyzes how einstein struggled in school, arguing with his teachers and challenging the education system, which he saw as a hindrance to real learning.
Explains how einstein's struggle turned out to be a blessing in disguise. in 1902, he began working at the swiss patent office, helping to evaluate patent applications for various machines.
Explains that einstein began to devote more and more time to the pursuit of his personal scientific research projects. he also served as a highly regarded professor and scholar at universities in switzerland, austria, and germany.
Describes how einstein foresaw the changes that the newly empowered adolf hitler and his nazi party would make in germany, and decided that as a jew, he should not return to germany.
Explains that einstein formally renounced his german citizenship and relinquished his passport in march of that year, just weeks before hitler decreed that jews could no longer hold any official positions in germany.
Explains that einstein stayed in america for the rest of his life, becoming a citizen in 1940, but found that he was not completely free from religious persecution.
Explains that the discrimination that einstein faced as a jew influenced him to become an advocate for other important civil rights causes.
Explains that einstein devoted a lot of time and energy throughout his life to causes that fought against discrimination in america, as well as ones that promoted peace across the world.
Analyzes how einstein sent a letter urging president roosevelt to pursue its development prior to world war ii, even though he did so out of fear that the nazis would create an atomic bomb of their own first.
Explains that einstein continued to advocate against the nuclear arms race and violence in general. he correctly predicted that once the atomic bomb was created, it could not be taken back.
Explains that albert einstein was named the ‘person of the century’ by time magazine in 1999. his research advanced science and laid the groundwork for countless technological innovations that we take for granted today.
Explains that einstein's annus mirabilis, or'miracle year', focused on the theory of special relativity, equivalence of mass and energy, photoelectric effect, and brownian motion.
Explains the theory of special relativity, which stated that the speed of light is the same regardless of the position or movement of a light source or observer. this discovery explained the mechanism behind electromagnetic currents, and formed the basis for massive inventions such as the gps.
Explains that einstein's theory was contradictory to sir isaac newton, who discovered gravity. the equivalence of mass and energy is represented by the formula e=mc2.
Explains that nuclear fusion and nuclear fission led to the development of nuclear energy and bombs. these two inventions are hugely significant in today's society.
Explains that einstein created the manhattan project, the project in which the united states developed the atomic bomb in an attempt to ensure the nazis did not do so first.
Explains that einstein's photoelectric effect solved the quantum revolution in the field of physics, which led to the invention of televisions, computers, and cell phones.
Explains einstein's contributions to scientific scholarship, such as the first explanation of why the sky is blue, and the 'einstein refrigerator', a refrigerator that used water, ammonia and butane.
Explains that the general theory of relativity, expanding on the special theory, proved certain relationships between masses, space, and time, influencing the later development of the gps system.
Explains that einstein theorized the concept of gravitational waves, although he never proved it. a century later, scientists finally proved the theory.
Explains that albert einstein made great contributions to american society and the world as a whole through his attitude, philosophy, and values. he challenged assumptions and conventional wisdom, inspiring future generations of scientists and engineers.
Explains that einstein's moral values were a predecessor to the activism and social aspect that are major part of the technology world today, showing that technological and societal advancement should not be opposing forces.
Explains that although einstein helped develop and advocate for a weapon so deadly that it has not been surpassed in seventy years, he did so only out of an ardent desire to put an end to the evil nazi empire.
Explains that albert einstein laid the groundwork for many american inventions and institutions that are an integral part of today’s society.
Dyson, Marianne J. Space and Astronomy: Decade by Decade. New York: Facts on File, 2007. 14+. Print.
In this essay, the author
Analyzes how henrietta leavitt discovered the relationship between period and luminosity of cepheid variable stars by examining photographic plates of the small magellanic cloud.
Explains that henrietta leavitt's discovery was published in harvard’s annals and circulars in 1908, but she received little recognition in her lifetime.
Explains waller, william h., the milky way: an insider's guide. princeton, n.j.
Explains that henrietta swan leavitt challenged the notions of female inferiority and ineptitude by entering the predominately male field of astrology and excelling.
Analyzes how henrietta leavitt challenged the notion of female inferiority and ineptitude by pursuing her aspirations of astrology.
Cites dyson, marianne j., impey, chris, krauss, lawrence maxwell, and richard dawkins.
As to conclude the Special theory of relativity is one of the breakthroughs, and can be considered the masterpiece of Einstein’s work. Its principles are bases of technological devices that are still use today, such as the GPS. It has two basic principles that contribute to further conclusion regarding time dilation, length contraction, and mass increase.
In this essay, the author
Explains that the special theory of relativity revolutionized advancements in the relationship between space, and time.
Explains the galilean principle of relativity and the special theory of relativity's second postulate that the speed of light in vacuum is the same in all inertial frames.
Explains that the relativistic mass increase or realistic addition of velocities is the second affect of special theory of relativity.
Explains that m0 = the mass measured at rest relative to an observer traveling with the same velocity.
Explains that the third affect of the special theory of relativity is length contraction. length contraction is the decrease in length observed by a person from stationary reference frame on the object that is in motion.
Concludes that the special theory of relativity is one of the breakthroughs, and can be considered the masterpiece of einstein’s work.
Explains that the simultaneity of events is matter of a person's frame of reference. the first of the special theory of relativity’s affects causes the phenomenon of time dilation.
General relativity explores the relationship between gravitational mass and inertial mass, to be able to figure out the effect of gravity depending only on spacetime and geometry. The geodesic in a flat space is a striaght line that is also the shortest distance between two points in a flat space. A geodesic can still be defined in a curved space, but unlike in a flat space, the geodesic does not necessari...
In this essay, the author
Explains that albert einstein asked himself in 1894 what would happen if he could ride alongside abeam of light, which led him to formulate his theories on relativity.
Explains that einstein explained his special theory of relativity in a paper titled, "zur elektrodynamik bewegter koerper" and that time and space are relative to the observer's position.
Explains einstein's general relativity, which states that gravity and motion can have an effect on time and space.
Explains that general relativity explores the relationship between gravitational mass and inertial mass to figure out the effect of gravity depending only on spacetime and geometry.
Explains that einstein proposed a universe that was defined "with respect to its spatial demensions," not infinite like "newton's universe." the model was published in 1917 in "cosmological consideration on the general theory of relativity."
Explains how einstein's theory of general relativity was proved correct during the solar eclipse of 1919.
Explains that einstein's general theory of relativity proves that the theory of relativity is important in everyday life.
Opines that einstein's theory on general relativity has a major role in the domain of astronomy, physics, and cosmology.
Galper, A. M., et al. "Characteristics of the GAMMA-400 gamma-ray telescope for searching for dark matter signatures." Bulletin of the Russian Academy of Sciences: Physics 77.11 (2013): 1339-1342.
In this essay, the author
Describes the objectives of the laboratory experiment to design and explain the newton's telescope.
Explains the angular magnification of a newton's reflective telescope, which is defined as the ratio of the image seen looking through the telescope to the object viewed with the unaided eye.
Explains that for objects outside the focal point, an inverted real image is formed, and an erect virtual image will be the outcome. the refracted rays are traveling parallel to each other.
Explains that the magnification equation consists of 1/0+1/f = 1 / i. the virtual image formed by the convex lens is negative, whereas f is positive for the diverging mirrors.
Explains that the ray diagrams for the concave lenses inside and outside the focal point produce erect virtual images that are smaller than the objects.
Explains that the equation behind the image formation is illustrated as 1/0+1/f = /f. the i is positive for a real image, whereas the 0 is normally negative.
Illustrates the formation of the image amid using two mirrors within the newton's telescope.
Explains newton's refractive telescope, which uses mirrors, rather than lenses, to bring the light to a focus.
Illustrates the principles behind the ray tracing techniques in the newton's telescope.
Concludes that newton's work set the stage for future developments of the telescope. reflecting light rather than refracting it solved the problem.
Cites atwood, jenny, ely, cassar, and escarrat's contributions to the spie astronomical telescopes+ instrumentation.
Sant, Joseph. "scientus.org." Copernicanism and Stellar Parallax. Kevin Cannon, n.d. Web. 7 Feb. 2014. .
In this essay, the author
Opines that nicolaus copernicus was the most influential scientific figure to have lived and produced during the renaissance.
Opines that copernicus' ideas were credible, since he was an educated man with plenty of reason to challenge what society had thought about the universe.
Opines that copernicus lived during the 15th and 16th centuries, so we can assume that he lived within this period. the renaissance was an amazing time for europe.
Opines that copernicus was ahead of his time in terms of what he was able to accomplish with his tools.
Concludes that nicolaus copernicus was the greatest scientific historical figure ever to have lived, because he was well-educated and multi-talented. his influence has given us the key to a limitless vault of opportunities in the astronomical world.
Explains that nicolaus copernicus was published in the catholic encyclopedia.
Explains that copernicus re-buried: an interesting but misleading story - catholic culture.
Cites rabin, sheila, and sant, joseph. copernicanism and stellar parallax.
Explains that when the earth moved: copernicus and his heliocentric system of the universe by dr. severyn odziowski.
Greene continues with his explanations of the special theory of relativity.Chapter 3: Of Warps and Ripples Green begins the chapter by describing "Newton's View of Gravity" and continues by discussing the incompatibility of Newtonian Gravity and Special Relativity. The author also talks about how Einstein discovered the link between acceleration and the warping of space and time. Greene also discuses the basic aspects of General Relativity. He later points out how the two theories of relativity effect black holes, the big bang, and the expansion of space.Chapter 4: Microscopic Weirdness This chapter describes, in detail, the workings of quantum mechanics.
In this essay, the author
Analyzes how brian greene examines the fundamentals of what is currently proven to be true by experimentation in the realm of modern physics.
Explains einstein's conclusion that light always travels at the speed of light, and never slows down. maxwell’s theory says light cannot be stationary.
Explains greene's explanations of the special theory of relativity in chapter 3: of warps and ripples and chapter 4: microscopic weirdness.
Analyzes how quantum mechanics effected waves, electromagnetic radiation, or photons, and matter particles. green concludes the discussion by talking about the uncertainty principle.
Compares the theory of general relativity and quantum mechanics, stating that the two can contradict each other, such as the area around a black hole.
Describes the suspected length of a string 10-33 centimeters, and how string theory can unite quantum mechanics and relativity.
Explains how greene tells about how string theory allows for more than three spatial dimensions, nine to be exact.
Analyzes how greene describes the geometry of space and how it fits in with and is affected by string theory.
Analyzes how greene describes the five different types of string theory and how current methods of approximation will not be able to complete m-theory.
Analyzes how greene describes the current model of cosmology, including string theory's view on the big bang, a multiverse, and the possibility of more than one universe.