A Portal Special Presentation- Geometric Unity: A First Look: Difference between revisions
A Portal Special Presentation- Geometric Unity: A First Look (edit)
Revision as of 15:18, 10 April 2020
, 10 April 2020→Four flavors of GU with a focus on the endogenous version
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===== Four flavors of GU with a focus on the endogenous version ===== | ===== Four flavors of GU with a focus on the endogenous version ===== | ||
<p>[01:06:19] So with that, let us begin to think about what we mean today by Geometric Unity. GU comes in four flavors, but I'm only getting one shot to do this, so I'm going to do the most exciting of them to me | <p>[01:06:19] So with that, let us begin to think about what we mean today by Geometric Unity. GU comes in four flavors, but I'm only getting one shot to do this, so I'm going to do the most exciting of them to me. | ||
<p>[01:06:42] What I'm gonna do is I'm going to take the concept of observation and I'm going to break the world into two pieces. A place where we do our observation and a place where most of the activity takes place. And I'm going to try and do this without loss of generality. So in this case, we have $$X^4$$ and it can map into some other space, and we are going to call this an observerse. | <p>[01:06:42] There's a completely exogenous flavor. | ||
What I'm gonna do is I'm going to take the concept of observation and I'm going to break the world into two pieces. A place where we do our observation and a place where most of the activity takes place. And I'm going to try and do this without loss of generality. So in this case, we have $$X^4$$ and it can map into some other space, and we are going to call this an observerse. | |||
<p>[01:07:15] The idea of an observerse is a bit like a stadium. You have a playing field and you have stands. They aren't distinct entities, they're coupled. And so, fundamentally, we're going to replace one space with two. Exogenous model simply means that U is unrestricted, although larger than $$X^4$$, so any manifold of four dimensions or higher that is capable of admitting $$X^4$$ as an immersion. | <p>[01:07:15] The idea of an observerse is a bit like a stadium. You have a playing field and you have stands. They aren't distinct entities, they're coupled. And so, fundamentally, we're going to replace one space with two. Exogenous model simply means that U is unrestricted, although larger than $$X^4$$, so any manifold of four dimensions or higher that is capable of admitting $$X^4$$ as an immersion. | ||
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<p>[01:09:36] And then the curvature is built on the connection. We turn this around, we imagine we're looking for a connection and we wish it to build a metric because connections are amenable to quantization in a way that metrics are not. The next point is that we always want to have a plan to return to finite dimensions without losing sight of the quantum. | <p>[01:09:36] And then the curvature is built on the connection. We turn this around, we imagine we're looking for a connection and we wish it to build a metric because connections are amenable to quantization in a way that metrics are not. The next point is that we always want to have a plan to return to finite dimensions without losing sight of the quantum. | ||
<p>[01:09:56] And lastly, we want to liberate matter from its dependence on the metric for its very existence. So we now need to build [[fermions]] onto our four dimensional manifold in some way without ever choosing a metric, if we're even going to have any hope of playing a game involving matter, starting from this perspective of no information other than the most bare information. | <p>[01:09:56] And lastly, we want to liberate matter from its dependence on the metric for its very existence. So we now need to build [[fermions]] onto our four-dimensional manifold in some way without ever choosing a metric, if we're even going to have any hope of playing a game involving matter, starting from this perspective of no information other than the most bare information. | ||
<p>[01:10:23] Let's get started. We take $$X^4$$, we need metrics. We have none. We're not allowed to choose one. So we do the standard trick | <p>[01:10:23] Let's get started. We take $$X^4$$, we need metrics. We have none. We're not allowed to choose one. So we do the standard trick. We choose them all. | ||
===== Choosing All Metrics ===== | ===== Choosing All Metrics ===== | ||