jgill

A particle can assume the characteristics of a wave in an experiment and can be shown to exhibit the characteristics of a more conventional particle b...

I agree with MU here. If it were not for Minkowski spacetime allowing rest frames and thus the "passage" of time with no physical changes I would thin...

Thanks for the Brian Greene piece. My only reservation is that unless one is careful in reading it one might think the illustrated wave is the particl...

Illuminating. Publishing in math seems to be much more nuanced. Or it was during my time. Still, ArXive.org receiving over 150 math research articles ...

In my example the first cause is on the other end of the chain, the nth function. As one lets n go to infinity, at each step back any z within that di...

:up:

I've always required examples to flesh out philosophical or mathematical ideas, so I will return to the causal chain {{F}_{n}}(z)={{f}_{1}}\circ {{f}_...

Another recommendation: Take up Zen under the tutelage of a Master. This would give your life a rigid focus, enforced by the physicality it employs. Y...

Not true. Housekeeper of a famous mathematician asked what the mathematician does. Answer after deliberation: "He scribbles on paper, then scowls and ...

The steps in a dynamical system or causation chain occur at time intervals. Are there chains that display instant movement, like instant velocity? Thi...

There are a few Here, and you can see what the math looks like. Like the standard Euclidean plane. Vertical (imaginary) axis in center and horizontal ...

There is always an image arising in the manner I have described. Even an empty frame. I never know what will materialize from a mathematical procedure...

This depends on the meaning of the word "change". Most usages do require time to complete, but if one thinks of "to change" is "to differ", then time ...

Not a lot. I can only refer to my own "creations", that are observable in the complex plane. By the way, I program from scratch in BASIC, being old wi...

My wife and I started Equilizer 3 on Netflix tonight, but left it temporarily after the first 15 minutes since its beginning is too gruesome. I'll go ...

Amen

:up: This reflects what Minkowski spacetime infers. This is referred to as being at rest in a particular frame of reference. Yes.

A little beyond my pay grade, but thanks. :smile:

Another take on multiple causation. A philosophical approach employing ideas from probability.

Barbie rings my bell. My favorite actress. :smile:

Quite clear, my friend. And mostly I agree. It makes me wish this Fellow were eligible. I'd vote for him.

Are they moving in reference to something else, like revolving? I have brought this up earlier. It has seemed odd that Minkowski spacetime might imply...

I agree. The point under discussion is not a point on the wheel, more of a point on the road that moves with the movement of the vehicle. But whatever...

You have created an interesting and highly literate thread, Count. :clap:

Perhaps climate change should go to the Lounge as well. Keeping it the main page makes it more philosophy than science?

I love causality. Most of the math exploration I do these days is mathematical analogues of causality chains in the complex plane. So, is philosophy v...

In the one-dimensional Casimir Effect one could encounter the Harmonic series, which does not converge. By manipulating this series one can derive a c...

Yes. The speed of the road is zero. Next question?

We were talking about rossii, and I don't know his age. Did I miss something?

Stop reading the philosophical shit that pulls you in this direction. Take up a physical challenge, like hiking or climbing. The psych test might be a...

I don't see the Syndrome in play here. Once he began going to religious meetings with his wife a new personality began to evolve. He was welcomed into...

When one forms a causal chain mathematically, one can assume that at each step a single causal function exists. But in the real world a host of causal...

Shades of the Deep South, where I grew up. Sad.

Thanks for the compliment. But listen carefully here: "Surge the Border" Do you really think those wanting to immigrate pay much attention to "context...

You are correct. Blame is not his alone. But he did call upon those fleeing their oppressive governments to "Surge the borders" of the US. And they ha...

As much as I can recall this is a true story, perhaps inaccurate where my memory fails. He and I were bouldering companions while I got my doctorate a...

I think there may be differences between alternate histories (like Lem's theory) and alternate timelines. But I'm too tired to cogitate. :yawn:

Oh my, you are on a roll. :gasp: First you suggest machine gunning people crossing the Rio Grande, and now you suggest the obvious. Sad days, indeed. ...

Texas, S. Carolina, etc. as far as I recall. Cheaper to live in those states among other amenities. Your suggestion, not mine. :gasp: I did not realiz...

220,000 higher income individuals left CA in 2021. Bye. :smile:

Well, CA and NY seem concerned about that issue.

About 300,000 left NY in one year and about 100,000 migrants arrived in NYC. So, actually, the population is decreasing and NY needs more migrants to ...

When one rich person leaves and one poor person moves in. It's happening. Not necessarily one-to-one. But in general.

A long time ago a good friend of mine, a young man at the time, inhabited a world that was falling apart - or so he perceived it. He had no job, despi...

If one looks at a kind of causation chain that has taken one from birth to the present, at each temporal step a host of causes converges to form the n...

Trump appears to be in the mold of Mussolini - the arrogant stances and stern facial imagery. Back then the Italian people wanted someone to come in a...

Allow n to increase without bound (go to infinity) in the infinite composition (regression) {{F}_{n}}(z)={{f}_{1}}\circ {{f}_{2}}\circ \cdots \circ {{...

Creativity can enter when one speculates on new topics and definitions. If a flight of imagination leads to a new concept (if, in fact, there are any)...

Could be. :up:

I hesitate to enter this conversation, but I can't resist offering a few opinions held by an actual mathematician who has done both teaching and resea...