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

Multiple Choice Questions

1. How many total dimensions are required by string theory?
(a) Ten.
(b) Seven.
(c) Five.
(d) Eight.

2. Why are the extra dimensions needed in string theory?
(a) To remove time from its equations.
(b) To provide more space for strings.
(c) To prevent the negative and infinite answers to its physical equations.
(d) To account for the infinite-energy problem.

3. Which team of researchers discovered the process for altering Calabi-Yau spaces by rupturing them?
(a) Hawking and Fermi.
(b) Greene and Morrison.
(c) Yau and Tian.
(d) Bohr and Feynman.

4. Under string theory, which of the following is true regarding extra dimensions?
(a) Some or all of them might be time-dimensions.
(b) They must all be space-dimensions.
(c) They must all be time-dimensions.
(d) They must all be space-dimensions, or they must all be time-dimensions.

5. 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) No field of mathematics exists to support it.
(c) The equations governing its shape are too complex.
(d) There are an infinite number of unknowns in its governing equation.

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

7. What is a virtual string pair?
(a) A quantum-entangled pair of unwound, massless strings.
(b) A pair of strings created purely in the curled-up dimensions.
(c) A pair of strings that cancel each other out and therefore do no correspond to real particles.
(d) A short-lived pair of strings resulting from a normal string splitting momentarily.

8. What type of a string can be massless?
(a) An unwrapped string.
(b) A string with more than one dimension.
(c) A non-oscillating string.
(d) A non-vibrating.

9. Which of the following will occur after the collapse of the universe as predicted by string theory?
(a) The universe will be mirrored in another dimension.
(b) The universe will cease to exist.
(c) The universe will become a single black hole.
(d) The universe will expand again.

10. String theory claims that super particles _____.
(a) Come in pairs.
(b) Are the only non-string particles.
(c) Do not exist.
(d) Are massless.

11. The extra dimension or dimensions in M-theory are needed in order to incorporate _____.
(a) Unwound Calabi-Yau spaces.
(b) Electromagnetism.
(c) Electroweak duality.
(d) Supergravity.

12. What distinction does dark matter have?
(a) It can spontaneously form black holes.
(b) It does not give off light.
(c) It exists in curled-up dimensions.
(d) It is composed of anti-matter.

13. What is the collapse and reformation of a Calabi-Yau shape called?
(a) A binary transition.
(b) A space-tearing flop transition.
(c) A conifold transition.
(d) A manifold transition.

14. Who first proposed the existence of extra dimensions?
(a) Hawking.
(b) Einstein.
(c) Maxwell.
(d) Kaluza.

15. By what factor is the minimum mass of a wrapped string in determined?
(a) The vacuum energy of the dimension it is wrapped around.
(b) The string's winding number.
(c) The size of the circular dimension it is wrapped around.
(d) The string's Planck tension.

Short Answer Questions

1. In what important way does string theory affect the cosmological model of the big bang?

2. Who posited the existence of M-theory?

3. Which of the following is true regarding the tearing of space-time according to string theory?

4. When the universe is at its smallest possible size, which other property is also at its maximum?

5. Which of the following best describes the fate of Kaluza-Klein theory?

(see the answer keys)

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