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This Title has Nine Words (When We Add "Meditation")

Hold on folks, this entry is mostly going to be about itself. Excited? Good. We've only just gotten started and we're already off to a fantastic start. How far have we made it yet? Well, we're not even finished with the first paragraph. How about now that we've started the second paragraph? This is even wilder than before. We're already several words into this paragraph and even more words into this entry now. Wow. Right now you're probably thinking that this entry could use a picture. I agree. There's a beautiful image from Kyoto, Japan (not to be mistaken for Kyoto, Nebraska). Notice how the curvy rooftops look so beautiful. Who would have ever thought to build things this way? Who would have guessed that making things like that would have turned out awesome? I could just travel there some day. I think I really could. But let's not get distracted by this! This is not the subject of this entry... You're here to read this entry discuss itself and I...
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Minimalism and Travel

 I should mention right away that this entry doesn't really have anything whatsoever to do with the Edo-Tokyo Museum. There, that's out of the way. Whew... It's somewhat interesting to me that while travel blogs and minimalism blogs are both popular, their intersection probably wouldn't be. At least one of the ways of taking their intersection. Let's keep in mind that we're dealing with concepts and not mathematical sets, so we have to allow for some ambiguity. The more obvious way of dealing with "minimalism and travel" would be something akin to "traveling minimalistically" (if that is even a word -- spell check doesn't think so). I.e. "traveling on a budget." That's somewhat interesting, but has probably been done to death. Hasn't everyone backpacked through Europe while a poor private (expensive) liberal arts college undergrad? It's hack! Everyone's been to Vietnam, right? The less obvious way of interpreting...

A Write-Only Post

 For the past several months, I've been reading about blogging and even doing some of it on my other site. It's taken up quite a bit of my free time. The payoff has been very small. One bit of advice I read is to spend a few hours on each entry. You won't get any traffic by slopping something together. Not anymore. I'm sure that's true. However, the converse doesn't necessarily hold, either. It's possible to spend several hours on each entry, and still get next-to-zero traffic. This is obvious. Of course it can happen. Especially when you don't market what you've written. When you have no marketing campaign, you're left waiting on "organic search engine" traffic. That's very difficult to achieve without backlinks. Backlinks are everything. It's extremely difficult to get them, however. Of course it is... It's not, however, impossible to get them. They can be got through some hard work. Essentially, you have to build up a pro...

What is Aleph Googol?

Welcome to this blog. I'm not sure how to make a landing page explaining what this site is about, and perhaps that's a good thing. What this site is about now might not be what it will be about next year, which might not be what it's about the following year. Etc... Let me at least explain a little about the title. Aleph Googol is an infinite number. Does that mean it's infinity?  No. It's just one of the infinite numbers that mathematicians have been studying for well over a hundred years now. It's written: \( \aleph_{10^{100}} \), and represents the \(10^{100}+1 \)-st infinite cardinal. Why the \(+1\)? Because infinite cardinals start with \(\aleph_0\), making \(\aleph_1\) the second infinite cardinal. Will this blog actually cover much more of this material? I'm not sure.

It's Relatively Simple - Gravitational Time Dilation Calculated with Special Relativity

We all know that what goes up must come down, unless escape velocity has been achieved. We also know that whatever escapes the tug of gravity loses some speed in its effort to resist the pull of gravity. But, what happens when the thing can't slow down? What if the thing that was launched into space was a beam of light? As you would expect, even though the beam of light cannot lose any of its speed, it does lose energy. It loses energy by slowing its frequency. This loss of frequency can be viewed as a slowing of the flow of time. Let's hold on to that thought, we'll come back to it later. So, how do we calculate just how much energy is lost? In order to do that we have to switch to considering what happens to a particle with mass. The amount of energy lost leaving a gravity well is just the negative of the kinetic energy gained by a particle falling to the surface from infinity. That energy is equal to the work it took for gravity to bring the particle...