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This test consists of 5 multiple choice questions, 5 short answer questions, and 10 short essay questions.

Multiple Choice Questions

1. Which of the following is true regarding our current knowledge of the Calabi-Yau space?
(a) Its shape is totally unknown.
(b) Its shape is completely known and defined.
(c) Physicists and mathematicians disagree about its shape.
(d) Its shape is not fully known.

2. What property does an external black hole have?
(a) The maximum possible mass for its charge and spin.
(b) The minimum possible radiation.
(c) The maximum possible internal temperature.
(d) The minimum possible mass for its charge and spin.

3. According to modern physics, which of the following may cease to exist at the center of a black hole?
(a) Space.
(b) Strings.
(c) Energy.
(d) Time.

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

5. What metric best approximates the scales at which extra dimensions would have a major impact?
(a) The Kaluza length.
(b) One-billionth of a meter.
(c) The Planck length.
(d) The nanometer.

Short Answer Questions

1. What is a virtual string pair?

2. The horizon problem is the contradiction that which of the following properties of the universe shouldn't be uniform, but is?

3. What is supergravity?

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

5. Which of the following is true regarding the force of gravity in string theory?

Short Essay Questions

1. What is a virtual string pair, and how is it formed?

2. How is the shape of the Calabi-Yau space is determined?

3. What is mirror symmetry, and what is its relevance to string theory?

4. How does a black hole's entropy change?

5. In the context of the big bang, what is symmetry breaking?

6. Describe the state of the universe's expansion, including what its ultimate fate might be.

7. What is the strong-weak duality?

8. Describe the history of space-time tears in physics.

9. What is the Calabi-Yau space?

10. Describe the phenomenon of winding in string theory.

(see the answer keys)

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