1. "When it comes to the world around us, is there any choice but to explore?"

Quote by Lisa Randall
2. "The uncertainty principle tells us that it would take infinitely long to measure energy (or mass) with infinite precision, and that the longer a particle lasts, the more accurate our measurement of its energy can be. But if the particle is shortlived and its energy cannot possibly be determined with infinite precision, the energy can temporarily deviate from that of a true longlived particle. In fact, because of the uncertainty principle, particles will do whatever they can get away with for as long as they can."

Lisa Randall, Warped Passages: Unraveling the Mysteries of the Universe's Hidden Dimensions
3. "The goal of particle physics is to discover matter’s most basic constituents and the most fundamental physical laws obeyed by those constituents."

Lisa Randall, Warped Passages: Unraveling the Mysteries of the Universe's Hidden Dimensions
4. "How can a fourdimensional and a five(or ten)dimensional theory have the same physical implications? What is the analog of an object traveling through the fifth dimension, for example? The answer is that an object moving through the fifth dimension would appear in the dual fourdimensional theory as an object that grows or shrinks."

Lisa Randall, Warped Passages: Unraveling the Mysteries of the Universe's Hidden Dimensions
5. "In a supersymmetric universe, the partners of quarks and leptons would be new bosons. Physicists, who enjoy whimsical (but systematic) nomenclature, call them squarks and sleptons."

Lisa Randall, Warped Passages: Unraveling the Mysteries of the Universe's Hidden Dimensions
6. "That’s what’s special in special relativity: the special inertial frames are only a small subset of all possible reference frames."

Lisa Randall, Warped Passages: Unraveling the Mysteries of the Universe's Hidden Dimensions
7. "If an extra dimension is rolled up into a circle, the mass of the lightest such particle would differ from the electron’s mass by an amount inversely proportional to the extra dimension’s size. That means that, the larger the extra dimension, the smaller the particle’s mass."

Lisa Randall, Warped Passages: Unraveling the Mysteries of the Universe's Hidden Dimensions
8. "They tell us remarkable things, such as that extra dimensions can be infinite in size yet remain unseen, or that we can be living in a threespatialdimensional sinkhole in a higherdimensional universe."

Lisa Randall, Warped Passages: Unraveling the Mysteries of the Universe's Hidden Dimensions
9. "Spacetime can be so warped that the gravitational field becomes highly concentrated in a small region near a brane—so concentrated that the huge expanse of an infinite dimension is inconsequential."

Lisa Randall, Warped Passages: Unraveling the Mysteries of the Universe's Hidden Dimensions
10. "In the warped scenario, the field lines are equally distributed in all the directions on the brane. However, off the brane the field lines bend back around so that they become essentially parallel to the brane, almost as if the fifth dimension were finite. Even with an infinite dimension, the gravitational field is localized near the brane, and field lines spread essentially as if there were only four (spacetime) dimensions."

Lisa Randall, Warped Passages: Unraveling the Mysteries of the Universe's Hidden Dimensions