PeterDonis's latest activity

Invention is a process, not an event. There is no instant of time when an invention "comes into existence". You are trying to draw sharp...

In the sense that humans formed the concept and explicitly recognized its properties, sure. But at least one of those properties--the...

I don't think your usage is consistent with others in this thread--they appear to me to be using "group" in the direct mathematical...

Then at least some prime numbers are discovered--those that appear, for example, in the time periods of cicadas.

Yes, agreed. I think this depends on how you define what a "metric" is. Is it the geometry itself? Or is it the specific form of the...

I agree; I think the distinction between "discovered" and "invented" that this thread is predicated on isn't clean either.

I disagree. We conceptualize it in a particular way, but evolution does what it does whether humans conceptualize it or not, and what it...

Primes aren't a group, mathematically speaking. They aren't closed under either addition or multiplication, the two operations present...

What about the ways prime numbers show up in "natural" settings? For example, there are 13-year and 17-year cicadas. It is not a...

A better wording is simply that the time coordinate in Milne coordinates is different than the time coordinate in standard Minkowski...

@stephen h note that you marked this thread as "Graduate". If your answer to either of the questions I asked above is "no" (and I...

If a phenomenon exceeds the imagination then perhaps it is time to adopt a mathematical description and reason logically from that. This...

What page? Please give a specific link. What references? Be specific. Have you read any actual textbooks or peer-reviewed papers on...

We already have a detailed model of this in cosmology. Have you looked at it?

More precisely, Milne is one "wedge" of MInkowski in different coordinates. So the Milne ##dt## is not the same as the Minkowski ##dt##...