A Brief History of Time, Stephen Hawking (1998, read 2015, posting 2017)

Didn’t actually have any notes/report written, just a few highlighted quotes. Probably didn’t enjoy the book that much or really understand it:

Perhaps one of my favorite quotes:

A well-known scientist (some say it was Bertrand Russell) once gave a public lecture on astronomy. He described how the earth orbits around the sun and how the sun, in turn, orbits around the center of a vast collection of stars called our galaxy. At the end of the lecture, a little old lady at the back of the room got up and said: “What you have told us is rubbish. The world is really a flat plate supported on the back of a giant tortoise.” The scientist gave a superior smile before replying, “What is the tortoise standing on?” “

” — Stephen Hawking, A Brief History of Time, loc. 72-77You’re very clever, young man, very clever,” said the old lady. “But it’s turtles all the way down!

, we would then think that there were thirty-seven different types of ball! — Stephen Hawking, A Brief History of Time, loc. 1023-1024If, for some reason, we could only observe the ball at low energies

This is the explanation of why we observe that the thermodynamic and cosmological arrows of time point in the same direction. It is not that the expansion of the universe causes disorder to increase. Rather,

. — Stephen Hawking, A Brief History of Time, loc. 2122-2125it is that the no boundary condition causes disorder to increase and the conditions to be suitable for intelligent life only in the expanding phase

Now,

The plates will act like mirrors for the virtual photons or particles of light. In fact they will form a cavity between them, a bit like an organ pipe that will resonate only at certain notes. This means that virtual photons can occur in the space between the plates only if their wavelengths (the distance between the crest of one wave and the next) fit a whole number of times into the gap between the plates. If the width of a cavity is a whole number of wavelengths plus a fraction of a wavelength, then after some reflections backward and forward between the plates, the crests of one wave will coincide with the troughs of another and the waves will cancel out. Because the virtual photons between the plates can have only the resonant wavelengths, there will be slightly fewer of them than in the region outside the plates where virtual photons can have any wavelength. Thus there will be slightly fewer virtual photons hitting the inside surfaces of the plates than the outside surfaces. One would therefore expect a force on the plates, pushing them toward each other. This force has actually been detected and has the predicted value.suppose one has two parallel metal plates a short distance apart.— Stephen Hawking, A Brief History of Time, loc. 2227-2236Thus we have experimental evidence that virtual particles exist and have real effects.

The reason we say that humans havefree will. However, if the human then goes off in a rocket ship and comes back before he or she set off, we will be able to predict what he or she will do because it will be part of recorded history.is because we can’t predict what they will do. — Stephen Hawking, A Brief History of Time, loc. 2262-2264Thus, in that situation, the time traveler would have no free will

any more than, as Gödel showed, one could formulate arithmetic in terms of a single set of axioms. Instead it may be like maps—However, I believe there may not be any single formulation of the fundamental theory: you need at least two maps in the case of the earth and four for the anchor ring to cover every point. Each map is valid only in a limited region, but different maps will have a region of overlap. The collection of maps provides a complete description of the surface. Similarly, in physics it may be necessary to use different formulations in different situations, but two different formulations would agree in situations where they can both be applied. The whole collection of different formulations could be regarded as a complete unified theory, though one that could not be expressed in terms of a single set of postulates. — Stephen Hawking, A Brief History of Time, loc. 2448-2455you can’t use a single map to describe the surface of the earth or an anchor ring

I think that there is a good chance that the study of the early universe and the requirements of mathematical consistency will lead us to a complete unified theory within the lifetime of some of us who are around today,

. — Stephen Hawking, A Brief History of Time, loc. 2480-2482always presuming we don’t blow ourselves up first