Hyperspace Quotes
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Hyperspace Quotes
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“It is often stated that of all the theories proposed in this century, the silliest is quantum theory. In fact, some say that the only thing that quantum theory has going for it is that it is unquestionably correct.”
― Hyperspace: A Scientific Odyssey Through Parallel Universes, Time Warps, and the Tenth Dimension
― Hyperspace: A Scientific Odyssey Through Parallel Universes, Time Warps, and the Tenth Dimension
“Some people seek meaning in life through personal gain, through personal relationship, or through personal experiences. However, it seems to me that being blessed with the intellect to divine the ultimate secrets of nature gives meaning enough to life.”
― Hyperspace: A Scientific Odyssey Through Parallel Universes, Time Warps, and the Tenth Dimension
― Hyperspace: A Scientific Odyssey Through Parallel Universes, Time Warps, and the Tenth Dimension
“Srinivasa Ramanujan was the strangest man in all of mathematics, probably in the entire history of science. He has been compared to a bursting supernova, illuminating the darkest, most profound corners of mathematics, before being tragically struck down by tuberculosis at the age of 33... Working in total isolation from the main currents of his field, he was able to rederive 100 years’ worth of Western mathematics on his own. The tragedy of his life is that much of his work was wasted rediscovering known mathematics.”
― Hyperspace: A Scientific Odyssey Through Parallel Universes, Time Warps, and the Tenth Dimension
― Hyperspace: A Scientific Odyssey Through Parallel Universes, Time Warps, and the Tenth Dimension
“As Heinz Pagels has said,
The challenge to our civilization which has come from our knowledge of the cosmic energies that fuels the stars, the movement of light and electrons through matter, the intricate molecular order which is the biological basis of life, must be met by the creation of a moral and political order which will accommodate these forces or we shall be destroyed. It will try our deepest resources of reason and compassion.”
― Hyperspace: A Scientific Odyssey Through Parallel Universes, Time Warps, and the Tenth Dimension
The challenge to our civilization which has come from our knowledge of the cosmic energies that fuels the stars, the movement of light and electrons through matter, the intricate molecular order which is the biological basis of life, must be met by the creation of a moral and political order which will accommodate these forces or we shall be destroyed. It will try our deepest resources of reason and compassion.”
― Hyperspace: A Scientific Odyssey Through Parallel Universes, Time Warps, and the Tenth Dimension
“Just one supernova can temporarily outshine an entire galaxy of 100 billion stars.”
― Hyperspace: A Scientific Odyssey through Parallel Universes, Time Warps, and the Tenth Dimension
― Hyperspace: A Scientific Odyssey through Parallel Universes, Time Warps, and the Tenth Dimension
“Riemann concluded that electricity, magnetism, and gravity are caused by the crumpling of our three-dimensional universe in the unseen fourth dimension. Thus a "force" has no independent life of its own; it is only the apparent effect caused by the distortion of geometry. By introducing the fourth spatial dimension, Riemann accidentally stumbled on what would become one of the dominant themes in modern theoretical physics, that the laws of nature appear simple when expressed in higher-dimensional space. He then set about developing a mathematical language in which this idea could be expressed.”
― Hyperspace: A Scientific Odyssey Through Parallel Universes, Time Warps, and the Tenth Dimension
― Hyperspace: A Scientific Odyssey Through Parallel Universes, Time Warps, and the Tenth Dimension
“When you listen to the beautiful sounds of stereo music, remember that you are listening to the rhythms of trillions of electrons obeying this and other bizarre laws of quantum mechanics.
But if quantum mechanics were incorrect, then all of electronics including television sets, computers, radios, stereo, and so on, would cease to function. (In fact, if quantum theory were incorrect, the atoms in our bodies would collapse, and we would instantly disintegrate. According to Maxwell's equations, the electrons spinning in an atom should lose their energy within a microsecond and plunge into the nucleus. This sudden collapse is prevented by quantum theory. Thus the fact that we exist is living proof of the correctness of quantum mechanics.)
This also means that there is a finite, calculable probability that "impossible" events will occur. For example, I can calculate the probability that I will unexpectedly disappear and tunnel through the earth and reappear in Hawaii. (The time we would have to wait for such an event to occur, it should be pointed out, is longer than the lifetime of the universe. So we cannot use quantum mechanics to tunnel to vacation spots around the world.)”
― Hyperspace: A Scientific Odyssey Through Parallel Universes, Time Warps, and the Tenth Dimension
But if quantum mechanics were incorrect, then all of electronics including television sets, computers, radios, stereo, and so on, would cease to function. (In fact, if quantum theory were incorrect, the atoms in our bodies would collapse, and we would instantly disintegrate. According to Maxwell's equations, the electrons spinning in an atom should lose their energy within a microsecond and plunge into the nucleus. This sudden collapse is prevented by quantum theory. Thus the fact that we exist is living proof of the correctness of quantum mechanics.)
This also means that there is a finite, calculable probability that "impossible" events will occur. For example, I can calculate the probability that I will unexpectedly disappear and tunnel through the earth and reappear in Hawaii. (The time we would have to wait for such an event to occur, it should be pointed out, is longer than the lifetime of the universe. So we cannot use quantum mechanics to tunnel to vacation spots around the world.)”
― Hyperspace: A Scientific Odyssey Through Parallel Universes, Time Warps, and the Tenth Dimension
“For the ten-dimensional universe, however, there are apparemtly millions of ways in which to curl up. To calculate which state the ten-dimensional universe prefers, we need to solve the field theory of strings using the theory of phase transitions, the most difficult problem in quantum theory.”
― Hyperspace: A Scientific Odyssey Through Parallel Universes, Time Warps, and the Tenth Dimension
― Hyperspace: A Scientific Odyssey Through Parallel Universes, Time Warps, and the Tenth Dimension
“In other words, a star is a nuclear furnace, burning hydrogen fuel and creating nuclear "ash" in the form of waste helium. A star is also a delicate balancing act between the force of gravity, which tends to crush the star into oblivion, and the nuclear force, which tends to blow the star apart with the force of trillions of hydrogen bombs. A star then matures and ages as it exhausts its nuclear fuel.”
― Hyperspace: A Scientific Odyssey Through Parallel Universes, Time Warps, and the Tenth Dimension
― Hyperspace: A Scientific Odyssey Through Parallel Universes, Time Warps, and the Tenth Dimension
“As all matter is crushed in the final moments before doomsday, intelligent life forms may be able to tunnel into higher-dimensional space or an alternative universe, avoiding the seemingly inevitable death of our universe.”
― Hyperspace: A Scientific Odyssey through Parallel Universes, Time Warps, and the Tenth Dimension
― Hyperspace: A Scientific Odyssey through Parallel Universes, Time Warps, and the Tenth Dimension
“The problem is that while twenty-first-century physics fell accidentally into the twentieth century, twenty-first-century mathematics hasn't been invented yet. It seems that we may have to wait for twenty-first-century mathematics before we can make any progress, or the current generation of physicists must invent twenty-first-century mathematics on their own.”
― Hyperspace: A Scientific Odyssey Through Parallel Universes, Time Warps, and the Tenth Dimension
― Hyperspace: A Scientific Odyssey Through Parallel Universes, Time Warps, and the Tenth Dimension
“Either this guy’s a total idiot, or he’s the biggest genius to hit physics in years!”
― Hyperspace: A Scientific Odyssey through Parallel Universes, Time Warps, and the Tenth Dimension
― Hyperspace: A Scientific Odyssey through Parallel Universes, Time Warps, and the Tenth Dimension
“This solves a long-standing mystery in cosmology. Our bodies are made of heavy elements beyond iron, but our sun is not hot enough to forge them. If the earth and the atoms of our bodies were originally from the same gas cloud, then where did the heavy elements of our bodies come from? The conclusion is inescapable: the heavy elements in our bodies were synthesized in a supernova that blew up before our sun was created. In other words, a nameless supernova exploded billions of years ago, seeding the original gas cloud that created our solar system.”
― Hyperspace: A Scientific Odyssey Through Parallel Universes, Time Warps, and the Tenth Dimension
― Hyperspace: A Scientific Odyssey Through Parallel Universes, Time Warps, and the Tenth Dimension
“The Fate of the Earth, points”
― Hyperspace: A Scientific Odyssey through Parallel Universes, Time Warps, and the Tenth Dimension
― Hyperspace: A Scientific Odyssey through Parallel Universes, Time Warps, and the Tenth Dimension
“We recall that the warping of the bedsheet was determined by the presence of the rock. Einstein summarized this analogy by stating: The presence of matter-energy determines the curvature of the space-time surrounding it.”
― Hyperspace: A Scientific Odyssey Through Parallel Universes, Time Warps, and the Tenth Dimension
― Hyperspace: A Scientific Odyssey Through Parallel Universes, Time Warps, and the Tenth Dimension
“When the Ramanujan function is generalized, the number 24 is replaced by the number 8. Thus the critical number for the superstring is 8 + 2, or 10. This is the origin of the tenth dimension. The string vibrates in ten dimensions because it requires these generalized Ramanujan functions in order to remain self-consistent. In other words, physicists have not the slightest understanding of why ten and 26 dimensions are singled out as the dimension of the string. It's as though there is some kind of deep numerology being manifested in these functions that no one understands. It is precisely these magic numbers appearing in the elliptic modular function that determines the dimension of space-time to be ten.”
― Hyperspace: A Scientific Odyssey Through Parallel Universes, Time Warps, and the Tenth Dimension
― Hyperspace: A Scientific Odyssey Through Parallel Universes, Time Warps, and the Tenth Dimension
“According to string theory, if we could somehow magnify a point particle, we would actually see a small vibrating string. In fact, according to this theory, matter is nothing but the harmonies created by this vibrating string. Since there are an infinite number of harmonies that can be composed for the violin, there are an infinite number of forms of matter that can be constructed out of vibrating strings. This explains the richness of the particles in nature. Likewise, the laws of physics can be compared to the laws of harmony allowed on the string. The universe itself, composed of countless vibrating strings, would then be comparable to a symphony.”
― Hyperspace: A Scientific Odyssey Through Parallel Universes, Time Warps, and the Tenth Dimension
― Hyperspace: A Scientific Odyssey Through Parallel Universes, Time Warps, and the Tenth Dimension
“String theory, therefore, is rich enough to explain all the fundamental laws of nature. Starting from a simple theory of a vibrating string, one can extract the theory of Einstein, Kaluza-Klein theory, supergravity, the Standard Model, and even GUT theory. It seems nothing less than a miracle that, starting from some purely geometric arguments from a string, one is able to rederive the entire progress of physics for the past 2 milleninia. All the theories so far discussed in this book are automatically included in string theory.”
― Hyperspace: A Scientific Odyssey Through Parallel Universes, Time Warps, and the Tenth Dimension
― Hyperspace: A Scientific Odyssey Through Parallel Universes, Time Warps, and the Tenth Dimension
“Nature is like a work by Bach or Beethoven, often starting with a central theme and making countless variations on it that are scattered throughout the symphony. By this criterion, it appears that strings are not fundamental concepts in nature.”
― Hyperspace: A Scientific Odyssey Through Parallel Universes, Time Warps, and the Tenth Dimension
― Hyperspace: A Scientific Odyssey Through Parallel Universes, Time Warps, and the Tenth Dimension
“Unforunately, string theorists are, at present, at a loss to explain why ten dimensions are singled out. The answer lies deep within mathematics, in an area called modular functions. Whenever we manipulate the KSV loop diagrams created by interacting strings, we encounter these strange modular functions, where the number ten appears in the strangest places. These modular functions are as mysterious as the man who invented them, the mystic from the East. Perhaps if we better understood the work of this Indian genius, we would understand why we live in our present universe.”
― Hyperspace: A Scientific Odyssey Through Parallel Universes, Time Warps, and the Tenth Dimension
― Hyperspace: A Scientific Odyssey Through Parallel Universes, Time Warps, and the Tenth Dimension
“In the work of Ramanujan, the number 24 appears repeatedly. This is an example of what mathematicians call magic numbers, which continually appear, where we least expect them, for reasons that no one understands. Miraculously, Ramanujan's function also appears in string theory. The number 24 appearing in Ramanujan's function is also the origin of the miraculous cancellations occurring in string theory. In string theory, each of the 24 modes in the Ramanujan function corresponds to a physical vibration of the string. Whenever the string executes its complex motions in space-time by splitting and recombining, a large number of highly sophisticated mathematical identities must be satisfied. These are precisely the mathematical identities discovered by Ramanujan. (Since physicists add two more dimensions when they count the total number of vibrations appearing in a relativistic theory, this means that space-time must have 24 + 2 = 26 space-time dimensions.)”
― Hyperspace: A Scientific Odyssey Through Parallel Universes, Time Warps, and the Tenth Dimension
― Hyperspace: A Scientific Odyssey Through Parallel Universes, Time Warps, and the Tenth Dimension
“Some people seek meaning in life through personal gain, through personal relationships, or through personal experiences. However, it seems to me that being blessed with the intellect to divine the ultimate secrets of nature gives meaning enough to life.”
― Hyperspace: A Scientific Odyssey Through Parallel Universes, Time Warps, and the Tenth Dimension
― Hyperspace: A Scientific Odyssey Through Parallel Universes, Time Warps, and the Tenth Dimension
“The geometry of a universe is very like the grammatical structure of a sentence. Just as a sentence has no structure and no existence apart from the relationships between the words, space has no existence apart from the relationships that hold between the things in the universe. If you change a sentence by taking some words out, or changing their order, its grammatical structure changes. Similarly, the geometry of space changes when the things in the universe change their relationships to one another.”
― Hyperspace: A Scientific Odyssey Through Parallel Universes, Time Warps, and the Tenth Dimension
― Hyperspace: A Scientific Odyssey Through Parallel Universes, Time Warps, and the Tenth Dimension
“Because both quantum theory and Einstein's theory of gravity are united in ten-dimensional space, we expect that the question of time travel will be settled decisively by the hyperspace theory. As in the case of wormholes and dimensional windows, the final chapter will be written when we incorporate the full power of the hyperspace theory.”
― Hyperspace: A Scientific Odyssey Through Parallel Universes, Time Warps, and the Tenth Dimension
― Hyperspace: A Scientific Odyssey Through Parallel Universes, Time Warps, and the Tenth Dimension
“In sum, the fruition of 50 years of research, and several hundred million dollars in government funds, has given us the following picture of sub-atomic matter. All matter consists of quarks and leptons, which interact by exchanging different types of quanta, described by the Maxwell and Yang-Mills fields. In one sentence, we have captured the essence of the past century of frustrating investigation into the subatomic realm, From this simple picture one can derive, from pure mathematics alone, all the myriad and baffling properties of matter. (Although it all seems so easy now, Nobel laureate Steven Weinberg, one of the creators of the Standard Model, once reflected on how tortuous the 50-year journey to discover the model had been. He wrote, "There's a long tradition of theoretical physics, which by no means affected everyone but certainly affected me, that said the strong interactions [were] too complicated for the human mind.")”
― Hyperspace: A Scientific Odyssey Through Parallel Universes, Time Warps, and the Tenth Dimension
― Hyperspace: A Scientific Odyssey Through Parallel Universes, Time Warps, and the Tenth Dimension
“Men imagine gods to be born, and to have clothes and voices and shapes like theirs....Yea, the gods of the Ethiopians are black and flat-nosed, and the gods of the Thracians are red-haired and blue-eyed.”
― Hyperspace: A Scientific Odyssey Through Parallel Universes, Time Warps, and the Tenth Dimension
― Hyperspace: A Scientific Odyssey Through Parallel Universes, Time Warps, and the Tenth Dimension
“In other words, the reason why the string theory cannot be solved is that twenty-first mathematics has not yet been discovered.”
― Hyperspace: A Scientific Odyssey Through Parallel Universes, Time Warps, and the Tenth Dimension
― Hyperspace: A Scientific Odyssey Through Parallel Universes, Time Warps, and the Tenth Dimension
“One consequence of this formulation is that a physical principle that unites many smaller physical theories must autoomatically unite many seemingly unrelated branches of mathematics. This is precisely what string theory accomplishes. In fact, of all physical theories, string theory unites by far the largest number of branches of mathematics into a single coherent picture. Perhaps one of the by-products of the physicists' quest for unification will be the unification of mathematics as well.”
― Hyperspace: A Scientific Odyssey Through Parallel Universes, Time Warps, and the Tenth Dimension
― Hyperspace: A Scientific Odyssey Through Parallel Universes, Time Warps, and the Tenth Dimension
“Of course, the set of logically consistent mathematical structures is many times larger than the set of physical principles. Therefore, some mathematical structures, such as number theory (which some mathematicians claim to be the purest branch of mathematics), have never been incorporated into any physical theory. Some argue that this situation may always exist: Perhaps the human mind will always be able to conceive of logically consistent structures that cannot be expressed through any physical principle. However, there are indications that string theory may soon incorporate number theory into its structure as well.”
― Hyperspace: A Scientific Odyssey Through Parallel Universes, Time Warps, and the Tenth Dimension
― Hyperspace: A Scientific Odyssey Through Parallel Universes, Time Warps, and the Tenth Dimension
“The key point is now this: If the wave function of a particle vibrates along this surface, it will inherit this SU(N) symmetry. Thus the mysterious SU(N) symmetries arising in subatomic physics can now be seen as by-products of vibrating hyperspace! In other words ,we now have an explanation for the origin of the mysterious symmetries of wood: They are really the hidden symmetries coming from marble.”
― Hyperspace: A Scientific Odyssey Through Parallel Universes, Time Warps, and the Tenth Dimension
― Hyperspace: A Scientific Odyssey Through Parallel Universes, Time Warps, and the Tenth Dimension