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“Since only a narrow range of the allowed values for, say, the fine structure constant will permit observers to exist in the Universe, we must find ourselves in the narrow range of possibilities which permit them, no matter how improbable they are. We must ask for the conditional probability of observing constants to take particular ranges, given that other features of the Universe, like its age, satisfy necessary conditions for life.”
John D. Barrow“Since only a narrow range of the allowed values for, say, the fine structure constant will permit observers to exist in the Universe, we must find ourselves in the narrow range of possibilities which permit them, no matter how improbable they are. We must ask for the conditional probability of observing constants to take particular ranges, given that other features of the Universe, like its age, satisfy necessary conditions for life.”
John D. Barrow, The Constants of Nature: The Numbers That Encode the Deepest Secrets of the Universe“… there are no arbitrary constants ... nature is so constituted that it is possible logically to lay down such strongly determined laws that within these laws only rationally determined constants occur (not constants, therefore, whose numerical value could be changed without destroying the theory).”
Albert Einstein, Autobiographical Notes“Only three constants are significant for star formation: the gravitational constant, the fine structure constant, and a constant that governs nuclear reaction rates.”
Ian Stewart, Calculating the Cosmos: How Mathematics Unveils the Universe“Fine Structure Constant: Fundamental numerical constant of atomic physics and quantum electrodynamics, defined as the square of the charge of the electron divided by the product of Planck's constant and the speed of light.”
Steven Weinberg, The First Three Minutes: A Modern View Of The Origin Of The Universe“According to the anthropic principle proponents, if the universal constants (e.g. gravitation, the strong force, etc.) were just a nose-hair off, the universe as we know it would not exist; stars wouldn't form and there would be no life and no us. That supposedly makes our universe truly special. To demonstrate just how ridiculous this fine-tuning argument is, consider the fact that no measurement in physics is perfect. All of them are approximations and have margins of error. That means the universal constants, that make our universe what it is, have some wiggle room. Within that wiggle room are an infinite quantity of real numbers. Each of those real numbers could represent constants that could make a universe like ours. Since there are an infinite number of potential constants within that wiggle room, there are an infinite number of potential universes, like ours, that could have existed in lieu of ours. Thus, there is really nothing special about our universe.”
G.M. Jackson, Debunking Darwin's God: A Case Against BioLogos and Theistic Evolution“The power of the deductive network produced in physics has been illustrated in a delightful article by Victor F. Weisskopf. He begins by taking the magnitudes of six physical constants known by measurement: the mass of the proton, the mass and electric charge of the electron, the light velocity, Newton's gravitational constant, and the quantum of action of Planck. He adds three of four fundamental laws (e.g., de Broglie's relations connecting particle momentum and particle energy with the wavelength and frequency, and the Pauli exclusion principle), and shows that one can then derive a host of different, apparently quite unconnected, facts that happen to be known to us by observation separately ....”
Gerald Holton, The Scientific Imagination: With a New Introduction“The fine structure constant is undoubtedly the most fundamental pure (dimensionless) number in all of physics. It relates the basic constants of electromagnetism (the charge of the electron), relativity (the speed of light), and quantum mechanics (Planck's constant).”
David J. Griffiths“We have one real candidate for changing the rules; this is string theory. In string theory the one-dimensional trajectory of a particle in spacetime is replaced by a two-dimensional orbit of a string. Such strings can be of any size, but under ordinary circumstances they are quite tiny, ... a value determined by comparing the predictions of the theory for Newton's constant and the fine structure constant to experimental values.”
Edward Witten“If the deep logic of what determines the value of the fine-structure constant also played a significant role in our understanding of all the physical processes in which the fine-structure constant enters, then we would be stymied. Fortunately, we do not need to know everything before we can know something.”
John D. Barrow, New Theories of Everything