Angular Escape Quotes

Towards midnight the rain ceased and the clouds drifted away, so that the sky was scattered once more with the incredible lamps of stars. Then the breeze died too and there was no noise save the drip and tickle of water that ran out of clefts and spilled down, leaf by leaf, to the brown earth of the island. The air was cool, moist, and clear; and presently even the sound of the water was still. The beast lay huddled on the pale beach and the stains spread, inch by inch. The edge of the lagoon became a streak of phosphorescence which advanced minutely, as the great wave of the tide flowed. The clear water mirrored the clear sky and the angular bright constellations. The line of phosphorescence bulged about the sand grains and little pebbles; it held them each in a dimple of tension, then suddenly accepted them with an inaudible syllable and moved on. Along the shoreward edge of the shallows the advancing clearness was full of strange, moonbeam-bodied creatures with fiery eyes. Here and there a larger pebble clung to its own air and was covered with a coat of pearls. The tide swelled in over the rain-pitted sand and smoothed everything with a layer of silver. Now it touched the first of the stains that seeped from the broken body and the creatures made a moving patch of light as they gathered at the edge. The water rose further and dressed Simon's coarse hair with brightness. The line of his cheek silvered and the turn of his shoulder became sculptured marble. The strange, attendant creatures, with their fiery eyes and trailing vapours busied themselves round his head. The body lifted a fraction of an inch from the sand and a bubble of air escaped from the mouth with a wet plop. Then it turned gently in the water. Somewhere over the darkened curve of the world the sun and moon were pulling; and the film of water on the earth planet was held, bulging slightly on one side while the solid core turned. The great wave of the tide moved further along the island and the water lifted. Softly, surrounded by a fringe of inquisitive bright creatures, itself a silver shape beneath the steadfast constellations, Simon's dead body moved out towards the open sea.

A face that bore no mark of pain or fear or guilt...The shape of his mouth was pride, and more: it was as if he took pride in being proud. The angular planes of his cheeks made her think of arrogance, of tension, of scorn—yet the face had none of these qualities, it had their final sum: a look of serene determination and of certainty, and the look of a ruthless innocence which would not seek forgiveness or grant it. It was a face that had nothing to hide or to escape, a face with no fear of being seen or of seeing, so that the first thing she grasped about him was the intense perceptiveness of his eyes—he looked as if his faculty of sight were his best-loved tool and its exercise were a limitless, joyous adventure, as if his eyes imparted a superlative value to himself and to the world—to himself for his ability to see, to the world for being a place so eagerly worth seeing. It seemed to her for a moment that she was in the presence of a being who was pure consciousness—yet she had never been so aware of a man’s body.

A middle-aged woman stands behind the table. She has curly black hair and olive skin. Her features are stern, so angular they almost make her unattractive, but not quite. Tobias clutches my hand. At that moment I realize that he and the woman have the same nose--hooked, a little too big on her face but the right size on his. They also have the same strong jaw, distinct chin, spare upper lip, stick-out ears. Only her eyes are different--instead of blue, they are so dark they look black. “Evelyn,” he says, his voice shaking a little. Evelyn was the name of Marcus’s wife and Tobias’s mother. My grip on Tobias’s hand loosens. Just days ago I was remembering her funeral. Her funeral. And now she stands in front of me, her eyes colder than the eyes of any Abnegation woman I’ve ever seen. “Hello.” She walks around the table, surveying him. “You look older.” “Yes, well. The passage of time tends to do that to a person.” He already knew she was alive. How long ago did he find out? She smiles. “So you’ve finally come--” “Not for the reason you think,” he interrupts her. “We were running from Erudite, and the only chance of escape we had required me to tell your poorly armed lackeys my name.

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In this chapter we will look at the entire edifice of QFT. We will see that it is based on three simple principles. We will also list some of its achievements, including some new insights and understandings not previously mentioned. THE FOUNDATION QFT is an axiomatic theory that rests on a few basic assumptions. Everything you have learned so far, from the force of gravity to the spectrum of hydrogen, follows almost inevitably from these three basic principles. (To my knowledge, Julian Schwinger is the only person who has presented QFT in this axiomatic way, at least in the amazing courses he taught at Harvard University in the 1950's.) 1. The field principle. The first pillar is the assumption that nature is made of fields. These fields are embedded in what physicists call flat or Euclidean three-dimensional space-the kind of space that you intuitively believe in. Each field consists of a set of physical properties at every point of space, with equations that describe how these particles or field intensities influence each other and change with time. In QFT there are no particles, no round balls, no sharp edges. You should remember, however, that the idea of fields that permeate space is not intuitive. It eluded Newton, who could not accept action-at-a-distance. It wasn't until 1845 that Faraday, inspired by patterns of iron filings, first conceived of fields. The use of colors is my attempt to make the field picture more palatable. 2. The quantum principle (discetization). The quantum principle is the second pillar, following from Planck's 1900 proposal that EM fields are made up of discrete pieces. In QFT, all physical properties are treated as having discrete values. Even field strengths, whose values are continues, are regarded as the limit of increasingly finer discrete values. The principle of discretization was discovered experimentally in 1922 by Otto Stern and Walther Gerlach. Their experiment (Fig. 7-1) showed that the angular momentum (or spin) of the electron in a given direction can have only two values: +1/2 or -1/2 (Fig. 7-1). The principle of discretization leads to another important difference between quantum and classical fields: the principle of superposition. Because the angular momentum along a certain axis can only have discrete values (Fig. 7-1), this means that atoms whose angular momentum has been determined along a different axis are in a superposition of states defined by the axis of the magnet. This same superposition principle applies to quantum fields: the field intensity at a point can be a superposition of values. And just as interaction of the atom with a magnet "selects" one of the values with corresponding probabilities, so "measurement" of field intensity at a point will select one of the possible values with corresponding probability (see "Field Collapse" in Chapter 8). It is discretization and superposition that lead to Hilbert space as the mathematical language of QFT. 3. The relativity principle. There is one more fundamental assumption-that the field equations must be the same for all uniformly-moving observers. This is known as the Principle of Relativity, famously enunciated by Einstein in 1905 (see Appendix A). Relativistic invariance is built into QFT as the third pillar. QFT is the only theory that combines the relativity and quantum principles.