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Three Roads To Quantum Gravity

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60 THREE ROADS TO QUANTUM GRAVITY<br />

space<br />

time<br />

History of a star<br />

FIGURE 11<br />

A massive object such as a star causes the light cones in its vicinity to tip<br />

towards it. This has the effect of causing freely falling particles to appear to<br />

accelerate towards the object.<br />

oscillate back and forth, as shown in Figure 12. These are the<br />

gravitational waves.<br />

So, Einstein's theory of gravity is a theory of causal<br />

structure. It tells us that the essence of spacetime is causal<br />

structure and that the motion of matter is a consequence of<br />

alterations in the network of causal relations. What is left out<br />

from the notion of causal structure is any measure of quantity<br />

or scale. How many events are contained in the passage of a<br />

signal from you to me, when we talk on the telephone? How<br />

many events have there been in the whole history of the<br />

universe in the past of this particular moment, as you ®nish<br />

reading this sentence? If we knew the answers to these<br />

questions, and we also knew the structure of causal relations<br />

among the events in the history of the universe, then we

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