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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. The number of family groups corresponds to a feature of the Calabi-Yau shape. What is this feature?
(a) Its number of folds.
(b) Its number of extended dimensions.
(c) Its degree of internal divisions.
(d) Its number of holes.

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

3. At what scale of length is quantum geometry necessitated?
(a) Cosmological scales.
(b) Nanometers.
(c) The Planck length.
(d) The Riemann scale.

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

5. Who provided the computer programming to process the results of the Morrison-Greene experiment?
(a) Tian.
(b) Aspinwall.
(c) Yau.
(d) Rutherford.

Short Answer Questions

1. What property does an external black hole have?

2. What type of a string can be massless?

3. When a Calabi-Yau space collapses, it comes back as a space. What distinction does it have?

4. The discovery of the tearing of space-time came from cooperation between experts in physics and _____.

5. Which of the following is true regarding tears in space time occurring in normal three-dimensional space?

Short Essay Questions

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

2. How are strings affected by extra dimensions?

3. Describe the phenomenon of winding in string theory.

4. What is the string-coupling constant, and why is it important?

5. What is the major difference between the big bang with and without string theory?

6. Describe the difficulties in studying the entropy of a black hole.

7. Greene suggests that black holes are very similar to, and might in fact be, elementary particles. What evidence supports this suggestion?

8. What is the origin of M-theory, and what are its basic characteristics?

9. What did Morrison and Greene discover together, and why is it important?

10. What is the relationship between the elementary particles and the Calabi-Yau space?

(see the answer keys)

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