“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.”
― Michio Kaku, quote from Hyperspace
“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.”
― Michio Kaku, quote from Hyperspace
“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.”
― Michio Kaku, quote from Hyperspace
“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.”
― Michio Kaku, quote from Hyperspace
“Just one supernova can temporarily outshine an entire galaxy of 100 billion stars.”
― Michio Kaku, quote from Hyperspace
“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.)”
― Michio Kaku, quote from Hyperspace
“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.”
― Michio Kaku, quote from Hyperspace
“The Fate of the Earth, points”
― Michio Kaku, quote from Hyperspace
“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.”
― Michio Kaku, quote from Hyperspace
“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.”
― Michio Kaku, quote from Hyperspace
“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.”
― Michio Kaku, quote from Hyperspace
“Either this guy’s a total idiot, or he’s the biggest genius to hit physics in years!”
― Michio Kaku, quote from Hyperspace
“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.”
― Michio Kaku, quote from Hyperspace
“In other words, the reason why the string theory cannot be solved is that twenty-first mathematics has not yet been discovered.”
― Michio Kaku, quote from Hyperspace
“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.”
― Michio Kaku, quote from Hyperspace
“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.”
― Michio Kaku, quote from Hyperspace
“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.”
― Michio Kaku, quote from Hyperspace
“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.”
― Michio Kaku, quote from Hyperspace
“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.”
― Michio Kaku, quote from Hyperspace
“These fields, which govern the interaction of all subatomic particles, are now called Yang-Mills fields. However, the puzzle that has stumped physicists within this century is why the subatomic field equations look so vastly different from the field equations of Einstein-that is, why the nuclear force seems so different from gravity. Some of the greatest minds in physics have tackled this problem, only to fail. Perhaps the reason for their failure is that they were trapped by common sense. Confined to three or four dimensions, the field equations of the subatomic world and gravitation are difficult to unify. The advantage of the hyperspace theory is that the Yang-Mills field, Maxwell's field, and Einstein's field can all be placed comfortably within the hyperspace field. We see that these fields fit together precisely within the hyperspace field like pieces in a jig-saw puzzle. The other advantage of field theory is that it allows us to calculate the precise energies at which we can expect space and time to foem wormholes.”
― Michio Kaku, quote from Hyperspace
“A quantum theory of gravity that unites it with the other forces is the Holy Grail of physics.”
― Michio Kaku, quote from Hyperspace
“Since the speed of light squared (c^2) is an astronomically large number, a small amount of matter can release a vast amount of energy. Locked within the smallest particles of matter is a storehouse of energy, more than 1 million times the energy released in a chemical explosion. Matter, in some sense, can be seen as an almost inexhaustible storehouse of energy; that is, matter is condensed energy.”
― Michio Kaku, quote from Hyperspace
“In summary, the rather obscure laws of the weather are easy to understand once we view the earth from space. Thus the solution to the problem is to go up into space, into the third dimension. Facts that were impossible to understand in a flat world suddenly become obvious when viewing a three-dimensional earth.
Similarly, the laws of gravity and light seem totally dissimilar. They obey different physical assumptions and different mathematics. Attempts to splice these two forces have always failed. However, if we add one more dimension, a fifth dimension, to the previous four dimensions of space and time, then the equations governing light and gravity appear to merge together like two pieces of a jigsaw puzzle. Light, in fact, can be explained as vibrations in the fifth dimension. In this way, we see that the laws of light and gravity become simpler in five dimensions.”
― Michio Kaku, quote from Hyperspace
“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.”
― Michio Kaku, quote from Hyperspace
“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.)”
― Michio Kaku, quote from Hyperspace
“Hinton spent most of his adult years trying to visualize higher spatial dimensions. He had no interest in finding a physical interpretation for the fourth dimension. Einstein saw, however, that the fourth dimension can be taken as a temporal one. He was guided by a conviction and physical intuition that higher dimensions have a purpose: to unify the principles of nature. By adding higher dimensions, he could unite physical concepts that, in a three-dimensional world, have no connection, such as matter and energy.”
― Michio Kaku, quote from Hyperspace
“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.”
― Michio Kaku, quote from Hyperspace
“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.”
― Michio Kaku, quote from Hyperspace
“Three of the four forces (excluding gravity) are therefore united by quantum theory, giving us unification without geometry, which appears to contradict the theme of this book and everything we have considered so far.”
― Michio Kaku, quote from Hyperspace
Michio Kaku
Born place: in San Jose, The United States
Born date January 24, 1947
See more on GoodReads
“The sun was already long past the spire when Garrick purchased a mug of coffee from his regular man on the tip of Oxford Street. But his palate had been educated by 21st century coffee, and he judged this mug as bilge water not fit for the Irish.”
― Eoin Colfer, quote from The Reluctant Assassin
“The lives that ended that night mattered. It was a mistake for this city to try to forget, and it's an even bigger one to pretend everything's fine now. Black men and women are dying today for the same reasons they did in 1921. And we have to call them out, Rowan. Every single time.”
― Jennifer Latham, quote from Dreamland Burning
“As far as segregationists were concerned, racial integration and communism were one and the same and posed the same kind of threat to traditional American values. Yet those charged with mounting the American offence in space saw strength in countering the Russian values of secrecy with its opposites - transparency, democracy, equality- and not a simulacrum.”
― quote from Hidden Figures: The American Dream and the Untold Story of the Black Women Mathematicians Who Helped Win the Space Race
“Our popular government has often been called an experiment. Two points in it our people have already settled, the successful establishing and the successful administering of it. One still remains—its successful maintenance against a formidable attempt to overthrow it. It is now for them to demonstrate to the world that those who can fairly carry an election can also suppress a rebellion, that ballots are the rightful and peaceful successors of bullets, and that when ballots have fairly and constitutionally decided, there can be no successful appeal except to ballots themselves at succeeding elections. Such will be a great lesson of peace, teaching men that what they cannot take by an election, neither can they take by war—teaching all the folly of being the beginners of a war.” In”
― Shelby Foote, quote from The Civil War, Vol. 1: Fort Sumter to Perryville
“We seek to stay present, even as the ghosts attempt to draw us away.”
― Patti Smith, quote from M Train
Consent to Kill
Laddie: A True Blue...
Scott Pilgrim, Volum...
The Last Child
Envy
Citizens of London:...BookQuoters is a community of passionate readers who enjoy sharing the most meaningful, memorable and interesting quotes from great books. As the world communicates more and more via texts, memes and sound bytes, short but profound quotes from books have become more relevant and important. For some of us a quote becomes a mantra, a goal or a philosophy by which we live. For all of us, quotes are a great way to remember a book and to carry with us the author’s best ideas.
We thoughtfully gather quotes from our favorite books, both classic and current, and choose the ones that are most thought-provoking. Each quote represents a book that is interesting, well written and has potential to enhance the reader’s life. We also accept submissions from our visitors and will select the quotes we feel are most appealing to the BookQuoters community.
Founded in 2023, BookQuoters has quickly become a large and vibrant community of people who share an affinity for books. Books are seen by some as a throwback to a previous world; conversely, gleaning the main ideas of a book via a quote or a quick summary is typical of the Information Age but is a habit disdained by some diehard readers. We feel that we have the best of both worlds at BookQuoters; we read books cover-to-cover but offer you some of the highlights. We hope you’ll join us.
