The Elegant Universe: Superstrings, Hidden Dimensions, and the Quest For… Test | Final Test - Easy

Brian Greene
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This test consists of 15 multiple choice questions and 5 short answer questions.

Multiple Choice Questions

1. How does the number of extra "curled up" dimensions affect the vibration of strings?
(a) String vibration is not affected by additional dimensions.
(b) More dimensions require more energy for the same vibrational pattern.
(c) More dimensions provide more ways to vibrate.
(d) More dimensions allow for string with length in more than one direction.

2. What is a string's winding number?
(a) The number of dimensions it vibrations through.
(b) The number of times it is wrapped around a circular dimension.
(c) The number of other strings it is threaded with.
(d) The ratio of its Planck tension to its tension at rest.

3. How does the shape of the extra "curled up" dimensions affect the vibration of strings?
(a) The shape does not affect the vibrational patterns.
(b) Only the total energy of the vibration is affected.
(c) The shape determines what types of vibrations are possible.
(d) Only the wavelength of the vibration is affected.

4. Which of the following is true regarding the force of gravity in string theory?
(a) String theory predicts gravity.
(b) Gravity in string theory is stronger than what we actually observe.
(c) Gravity in string theory acts over much longer distances.
(d) Gravity is not addressed in string theory.

5. Which of the following is true regarding tears in space time occurring in normal three-dimensional space?
(a) It has been proven that they can occur.
(b) Such tears have been observed in particle accelerators.
(c) It is unknown whether or not they can occur.
(d) They cannot occur.

6. The method of tearing space-time discovered by Greene and others is called _____.
(a) Space-tearing wormhole formation.
(b) Quantum collision.
(c) Spontaneous tunneling reaction.
(d) Space-tearing flop transition.

7. It is believed that early on, the universe experienced symmetry breaking, meaning that _____.
(a) The three non-gravitational forces were separated out.
(b) Three of the space dimensions expanded asymmetrically compared to the others.
(c) The universe expanded very rapidly for a short time.
(d) Quantum fluctuations caused different expanding areas to have different energy densities.

8. What is one of the difficulties in determining the shape of the Calabi-Yau space?
(a) The shape has an unequal number of real and imaginary dimensions.
(b) The equations governing its shape are too complex.
(c) There are an infinite number of unknowns in its governing equation.
(d) No field of mathematics exists to support it.

9. About how long did the "primordial synthesis" stage of the big bang last?
(a) Four seconds.
(b) Two years.
(c) Three minutes.
(d) One picosecond.

10. Which of the following is true regarding the tearing of space-time according to string theory?
(a) A tear would destroy the universe.
(b) It can tear under special circumstances.
(c) It cannot tear.
(d) It is not known if space-time can tear.

11. What does the string coupling constant govern?
(a) The relative length of threading between strings.
(b) The likelihood of strings joining or separating.
(c) The strength of links between strings.
(d) The number of strings that can be joined at once.

12. In ratios of what number do winding energies come?
(a) Ten.
(b) Two.
(c) Six.
(d) Any whole number.

13. When a Calabi-Yau space collapses, it comes back as a space. What distinction does it have?
(a) It has one less hole.
(b) It has no shielding against tears in space-time.
(c) It has one fewer dimensions.
(d) It has mirror-symmetry with its old shape.

14. The horizon problem is the contradiction that which of the following properties of the universe shouldn't be uniform, but is?
(a) The cosmic background radiation.
(b) The gravitational constant.
(c) The cosmological constant.
(d) The electroweak field depth.

15. Which of the following is NOT a property that is used to define both black holes and elementary particles?
(a) Force charge.
(b) Mass.
(c) Half-life.
(d) Spin.

Short Answer Questions

1. At what scale of length is quantum geometry necessitated?

2. Which team of researchers discovered the process for altering Calabi-Yau spaces by rupturing them?

3. There are many possible Calabi-Yau spaces, but only shapes with which of the following characteristics are considered real possibilities?

4. Kaluza's theory suggested that electromagnetism was carried by ripples in _____.

5. According to string theory, which of the following cannot occur during the collapse of the universe?

(see the answer keys)

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