How do dimensions in string theory interact?

In summary, the conversation discusses how dimensions in string theory interact. It is mentioned that the extra dimensions are compacted on complex 3-dimensional manifolds, and there is significant research on the structure of these manifolds. The theory is seen as a combination of general relativity and quantum mechanics, with geodesics exhibiting finite, quantized uncertainty at the Planck scale. Wheeler's concept of "pregeometry" is also mentioned as being prescient of the idea of strings in string theory.
  • #1
Loren Booda
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How do dimensions in string theory interact?
 
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  • #2
Well one thing you don't often see discussed is that the 6-dimensional manifolds (Calabi-Yau or whatever) that the extra dimensions are compacted on are actually complex 3-dimensional manifolds. A complex dimension is two real dimensions plus some structure. And there's plenty of string research on that structure.
 
  • #3
String theory seems to have the best of general relativity (curvature) and quantum mechanics (discreteness). I guess that geodesics exhibit finite, quantized uncertainty at the Planck scale over dimensions of interval and dynamics, and there may resolve as piecewise sinusoidal strings under interdimensional Fourier transform. John Archibald Wheeler was prescient of such artifacts as strings in his "pregeometry."
 

1. What is string theory and how does it relate to dimensions?

String theory is a theoretical framework in physics that attempts to reconcile the fundamental forces in the universe, including gravity, with quantum mechanics. In string theory, the fundamental building blocks of the universe are not point particles, but tiny strings. These strings vibrate at different frequencies, which correspond to different particle properties, such as mass and charge. The number of dimensions in string theory is not fixed, but rather depends on the type of string theory being studied. The most commonly studied version, called superstring theory, requires 10 dimensions for consistency.

2. How do the extra dimensions in string theory interact with the four dimensions we experience?

In string theory, the extra dimensions are compactified, meaning they are curled up and hidden from our view. They are thought to be extremely small compared to the dimensions we experience, and therefore do not have a significant impact on our everyday lives. However, the vibrations of these extra dimensions can influence the behavior of particles in our four-dimensional world, leading to new phenomena that are not explained by traditional theories.

3. Can we observe or test the existence of these extra dimensions?

Currently, we do not have the technology to directly observe the extra dimensions predicted by string theory. However, some scientists are working on experiments and theories that could potentially provide evidence for their existence. One proposal involves the detection of tiny gravitational waves that could be produced by the vibrations of the extra dimensions. Other experiments at the Large Hadron Collider are also searching for evidence of extra dimensions by studying the behavior of particles at high energies.

4. Are the dimensions in string theory fixed, or can they change?

The number of dimensions in string theory is not fixed and can vary depending on the type of string theory being studied. In addition, some theories propose that the dimensions themselves can change over time. This idea is known as "dimensional evolution" and is still a subject of ongoing research and debate among physicists.

5. What implications does string theory have for the concept of space and time?

String theory challenges our traditional understanding of space and time. In this theory, space and time are not separate entities, but rather are intertwined in a concept known as spacetime. Additionally, string theory suggests that the universe may have more than four dimensions, which could have significant implications for our understanding of the structure of the universe and the laws of physics.

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