Aditya Vishwak
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So what actually is space-time.
The discussion centers around the concept of space-time, exploring its definition and meaning within the context of physics. Participants engage with theoretical aspects, mathematical structures, and conceptual analogies, particularly whether space-time can be likened to a fabric and its implications regarding size and structure.
Participants express differing views on the analogy of space-time as a fabric and its mathematical representation, indicating that multiple competing perspectives remain without consensus.
Some statements reflect uncertainty regarding the definitions and interpretations of space-time, particularly in relation to its mathematical structures and physical implications. The discussion also highlights a lack of clarity in the analogy of space-time as a fabric.
Aditya Vishwak said:Any other post.
Aditya Vishwak said:So is space-time like a fabric.
Aditya Vishwak said:I want to know that whether space-time is like a large fabric spread through the universe and whether it is finite in size.
Aditya Vishwak said:So what actually is space-time.
atyy said:No. In relativity, there are mathematical structures called the "manifold" and the "metric tensor". The metric tensor is an additional mathematical structure that is placed on the manifold. Conceptually, the manifold is like a fabric, and the metric tensor is like a system of rulers and clocks at every point on the fabric. What we call "spacetime" in relativity usually refers to the metric tensor, ie. the system of rulers and clocks which live on the fabric.