I think it's often assumed that there is no way to intuitively visualize higher dimensions. I can tell anyone who thinks this is the case, from experience, it is not so. I've been thinking about and in multiple dimensions for so long that the idea has become intuitive to me. Whether one relies...
Please enlighten us then. What do the additional dimensions posited by string theory represent? What are the additional parameters, and why are they necessary?
SU(2) and U(1) as subsets of SU(3)... compelling. If I understand the concept correctly, that does seem to be one way of thinking about it. Since any particle with an identity in SU(3), namely quarks, also necessarily have identity in SU(2) and U(1)... that is to say that quarks also interact...
The more I look into this topic, the more it seems that quantum spin and mass must be independent degrees of freedom corresponding to extra dimensions. Am I really incorrect about this? If I am, how are these identities represented within the 10D manifold?
I am also repeatedly finding...
Hello again, all. Glad to see this thread has remained alive, even if it has gone a bit off topic. I've been looking into the Standard Model a bit over the last few days, and I feel like I'm a lot closer to understanding what I was hoping to understand about all this. I've seen the notation...
Many thanks for your response, ExactlySolved! I feel like I'm getting somewhere here. Of course I'm only left with further questions, but that's only natural. Perhaps you or someone else would be willing to indulge them.
I assume that in the case of the electromagnetic force, your explanation...
That's a good question, OB 50. To be fair, there are models which have emerged more recently as a consequence of M theory and various braneworld conjectures that present the extra dimensions as large in extension. Though regardless of how large these bulk dimensions could be, it still stands...
Right, that's what we've been talking about. That's the typical response I mentioned in the original post. I'm hoping to find out something more specific about all this, such as the specific parameters of the Calabi-Yau space which comprises the compactified dimensions. I know that this is a key...
Yes, that's pretty much how I've been thinking about it. It is indeed an appealing idea, which is why I am loath to presume its accuracy. It seems unlikely that interactions as complex and strange as the nuclear forces could be fully represented as momenta in higher dimensions, but maybe it's...
Hello everyone. This is my first post here, though I've stumbled upon the site on several occasions while investigating various physics concepts over the years.
I've decided to post now because of a maddening dearth of information regarding the definition of each of the additional dimensions...