THE ELEGANT UNIVERSE, Brian Greene, 1999, 2003
```(annotated and with added bold highlights by Epsilon=One)
```(annotated and with added bold highlights by Epsilon=One)
Chapter 14 - Reflections on Cosmology
Cosmology and Calabi-Yau Shapes
For simplicity, Brandenberger and Vafa imagined that all of the spatial dimensions are circular. In fact, as noted in Chapter 8, so long as the circular dimensions are large enough that they curve back on themselves only beyond the range of our current observational capacity, a circular shape is consistent with the universe we observe. But for dimensions that stay small, a more realistic scenario is one in which they are curled up into a more intricate Calabi-Yau space. Of course, the key question is, Which Calabi-Yau space? How is this particular space determined? No one has been able to answer this question. (Epsilon=One: Since the early 1990s, ** the algebraic geometry of the Pulsoid symbolically and precisely answered "this question" with the Emergent Ellipsoid (EEd) and Elliptical Constant (EC). The Elliptical Constant and resultant Natural Function (NF) can be said to be the Rosetta Stone for an understanding of what can be considered the leading candidate for the Theory of Everything (TOE).) But by combining the drastic topology-changing results described in the preceding chapter with these cosmological insights, we can suggest a framework for doing so. Through the space-tearing conifold transitions, we now know that any Calabi-Yau shape can evolve into any other. So, we can imagine that in the tumultuous, hot moments after the bang, the curled-up Calabi-Yau component of space stays small, but goes through a frenetic dance in which its fabric rips apart and reconnects over and over again, rapidly taking us through a long sequence of different Calabi-Yau shapes. As the universe cools and three of the spatial dimensions get large, the transitions from one Calabi-Yau to another slow down, with the extra dimensions ultimately settling into a Calabi-Yau shape that, optimistically, gives rise to the physical features we observe in the world around us. The challenge facing physicists is to understand, in detail, the evolution of the Calabi-Yau component of space so that its present form can be predicted from theoretical principles. With the newfound ability of one Calabi-Yau to change smoothly into another, we see that the issue of selecting one Calabi-Yau shape from the many may in fact be reduced to a problem of cosmology. 5
**The algebraic geometry of the Pulsoid and Elliptical Constant has been widely described since the 1990s on the World Wide Web, hundreds of manuscripts sent to top University Physics and Philosophy Departments, discussions with Nobel laureates, and endless academic department heads, graduate students, et cetera.