%%USERNAME%%    %%ACCWORDS%% %%ONOFF%% |
 |    Not for the faint of art. |
|
Complex Numbers A complex number is expressed in the standard form a + bi, where a and b are real numbers and i is defined by i^2 = -1 (that is, i is the square root of -1). For example, 3 + 2i is a complex number. The bi term is often referred to as an imaginary number (though this may be misleading, as it is no more "imaginary" than the symbolic abstractions we know as the "real" numbers). Thus, every complex number has a real part, a, and an imaginary part, bi. Complex numbers are often represented on a graph known as the "complex plane," where the horizontal axis represents the infinity of real numbers, and the vertical axis represents the infinity of imaginary numbers. Thus, each complex number has a unique representation on the complex plane: some closer to real; others, more imaginary. If a = b, the number is equal parts real and imaginary. Very simple transformations applied to numbers in the complex plane can lead to fractal structures of enormous intricacy and astonishing beauty. ![Merit Badge in Quill Award
[Click For More Info]
Congratulations on winning Best Blog in the 2021 edition of [Link To Item #quills] !](https://images.Writing.Com/imgs/writing.com/writers/badges/group-Quill_Award-1375927_6.gif) ![Merit Badge in Quill Award 2
[Click For More Info]
2022 Quill Award - Best Blog - [Link To Item #1196512] . Congratulations!!!](https://images.Writing.Com/imgs/writing.com/writers/badges/group-Quill_Award_2-1375927_6.gif) ![Merit Badge in 30DBC Winner
[Click For More Info]
Congratulations on winning the Jan. 2019 [Link To Item #30dbc] !!](https://images.Writing.Com/imgs/writing.com/writers/badges/group-30DBC_Winner-2064535_14.gif) ![Merit Badge in Blogging
[Click For More Info]
Congratulations on winning an honorable mention for Best Blog at the 2018 Quill Awards for [Link To Item #1196512] . *^*Smile*^* This award was sponsored by the blogging consortium including [Link To Item #30dbc] , [Link To Item #blogcity] , [Link To Item #bcof] and [Link To Item #1953629] . For more details, see [Link To Item #quills] .](https://images.Writing.Com/imgs/writing.com/writers/badges/type-Blogging-2180.gif) ![Merit Badge in Highly Recommended
[Click For More Info]
I highly recommend your blog.](https://images.Writing.Com/imgs/writing.com/writers/badges/Kudos-Highly_Recommended.gif) ![Merit Badge in Opinion
[Click For More Info]
For diving into the prompts for Journalistic Intentions- thanks for joining the fun!](https://images.Writing.Com/imgs/writing.com/writers/badges/genre-Opinion-1150.gif) ![Merit Badge in High Five
[Click For More Info]
For your inventive entries in [Link To Item #2213121] ! Thanks for the great read!](https://images.Writing.Com/imgs/writing.com/writers/badges/Kudos-High_Five.gif) ![Merit Badge in Enlightening
[Click For More Info]
For winning 3rd Place in [Link To Item #2213121] . Congratulations!](https://images.Writing.Com/imgs/writing.com/writers/badges/general-Enlightening.gif) ![Merit Badge in Quarks Bar
[Click For More Info]
For your awesome Klingon Bloodwine recipe from [Link to Book Entry #1016079] that deserves to be on the topmost shelf at Quark's.](https://images.Writing.Com/imgs/writing.com/writers/badges/group-Quarks_Bar-2046190_12.gif)       |
| My main sources for scientific discussions are YouTube (I must have broken their algorithm because everything I see on the sidebar is comedy, booze, science, philosophy, music, math, or some combination thereof) and, of course, Cracked. You can go down your own YouTube rabbit hole; today I'm linking the latter. Science is generally self-correcting. Theories are discarded or adjusted when new experimental data comes in, or is interpreted differently. But one thing that remains constant, apart from the speed of light, is that no matter how weird we think the Universe is... it always turns out to be weirder. After all, we’re only here because of a giant explosion that occurred everywhere yet also nowhere, and for no reason, during a time before time. It may have happened infinite times to create an infinite multiverse. It may be happening “now,” though “now” is relative and doesn’t really mean anything worth jack. Yeah, it's not really an explosion because there was nothing for it to explode into. If it actually happened. There's still some pushback to the Horrendous Space Kablooie theory. 5. Do We Have Another Planet? It May Be A 13.8-Billion-Year-Old Primordial Grapefruit 10 Times Heavier Than Earth To quote Douglas Adams, "“Space [...] is big. Really big. You just won't believe how vastly hugely mind-bogglingly big it is. I mean, you may think it's a long way down the road to the chemist, but that's just peanuts to space.” Well, compared to the vast distant reaches of space, even the outer reaches of our solar system might as well be a trip to the chemist (that's pharmacy for us Americans). And, as this section indicates, we don't even know how many things orbit our sun. One thing that probably will be solved in our lifetime, cyborg or not, is among the most mouth-watering space mysteries: the existence and identity of Planet Nine. Is our solar menagerie hiding at least one more big planet? Or just another derelict Kmart? The unequivocal answer is maybe. Your lifetime, maybe; probably not mine. If a hidden planet exists, it’s 400-800 times farther away from the Sun than Earth. So it would trace an elongated 20,000-year orbit. Humans were still wiping themselves with their hands last time it swung around our star. To be clear, we still do; there's just usually paper in said hand. Unless you're fancy and own a bidet. Being so far away, scientists can’t see P9, but infer it’s there because nearby objects seem to be pulled by the gravity of something hefty. On the one hand, that's a totally legitimate way to determine if there's another planet involved; it worked to discover Neptune, as I recall. On the other hand, discrepancies in Mercury's orbit compared to prediction led to the hypothesis that there was another planet orbiting even closer to the sun. They even named the planet: Vulcan. Plot twist: Vulcan doesn't exist; the perturbations turned out to be due to relativistic effects. Point being, maybe there's another planet; maybe our theory of gravity needs to be tweaked again; or maybe it's Maybelline. If they do find that planet, please lobby for it to be named Maybelline. Let’s not entertain such dismal, unexciting possibilities. A much more excellent idea is that P9 isn’t a planet but a black hole. A primordial black hole, dating to the first second of creation. As in, the first second ever. No. But it's not as farfetched as you might think. After a certain radius, black holes act just like any other mass. If our sun were to be suddenly replaced by a black hole of the same mass, all the planets would continue orbiting sedately just as they do now, not get sucked directly in like pulp SF would have you believe. Which we'd notice just before we froze to death. 4. We Can Theoretically Wee Actual, Individual Aliens By Making A Solar System-Sized “Virtual Telescope” Please don't wee aliens. They might get pissed off. Scientists just achieved the most amazing visual feat ever: capturing an image of Sagittarius A*, the bulldog of a black hole at the center of our Milky Way. This article came out about the same time as JWST started producing real images, and some of them are pretty amazing. Still, imaging something that far away is pretty amazing, sure. It has the mass of 4 million Suns, packed into an infinitely tiny point. That's a bit misleading. The dimensions of a black hole are undefined because dimension implies space, and the whole point (see what I did there) of a black hole is that it warps space so completely that the concept of "distance" or "radius" or "diameter" is meaningless. And the event horizon, whose diameter can be inferred, isn't infinitely tiny. Whatever. I'm quibbling about language written on a dick joke site that can't even edit out obvious typos in headers. Anyway, the image is helpfully included in the article, but it hardly matters; you've seen it. It's become iconic. Even Star Trek started riffing off of it. The real point is HOW they did it, which involves turning widely-spaced Earthbound telescopes into a giant virtual telescope, which is indeed cool. Now imagine putting a bunch of space telescopes in orbit around the sun, say between Earth and Mars, and turning them into a virtual telescope. That's what they mean when they claim we could "wee" aliens. If aliens existed. 3. Sadly, No Telescope Can See An Anti-Universe With Backward Time Which Could Explain Dark Matter. But Math Can I mean, okay. This is speculation. Math is very, very good at describing the universe (and even perhaps a multiverse), but it doesn't follow that just because math shows something, it must have a physical interpretation. To be clear, no one yet knows exactly what dark matter is. If it's even matter. That's cool; it means there's more to discover. 2. Neutrinos Will Blow Your Ass Out Of Its Mind In addition to the Big Bang and other energetic origins, neutrinos come from nuclear reactions in stars Neutrinos are another thing we don't fully understand. As with anything else we don't understand, speculation runs rampant. Like in this section. Still, as long as we know it's speculation, it's interesting to read about. 1. An Infinite Universe Guarantees The Occurrence Of Things That Are So Unlikely It’s Literally Impossible To imagine, Comprehend, or Perceive I mean, sure. Infinity itself is impossible to imagine, comprehend, or perceive. It also might not really exist, being perhaps one of those mathematical concepts that doesn't have a real-universe counterpart. Infinity means that any non-zero event will occur. I think they mean "any non-zero probability event." Infinitely. Not necessarily. The simplest conception of infinity is "the set of all positive integers." We have notation that can render any arbitrary integer, like 2, or 42, or 10100 — which is just as far away from infinity as 2 is. But each of those numbers is unique. Sure, our notation uses some combination of ten arbitrarily-assigned digits, so two numbers may seem to have something in common, like 543 and 1345, but just because you label something "infinite" doesn't mean, as is sometimes popularly reported, that there's an exact copy of you running around on some exact copy of Earth somewhere else in the universe. And since the universe appears to be infinite, this forces us to ask if infinity exists, or is just a human failing to comprehend the true nature of the cosmos. Or, you know, I could be wrong about that. It's not like I'm any better at comprehending the nature of the cosmos, or infinity, than any other ape. And to be strict about it, there are different kinds of infinity. Hope that clears everything up. |
View Portfolio
Visit Notebook
Send Gift Points
Awards
Badges
Send Email
Community Newsfeed
General Discussion
Sponsored Items
Book of Trinkets
Static Items
Books
Groups
Interactive Stories
Audio
Campfire Creatives
Community Notes
Crossword Puzzles
Documents
Folders
Images
In & Outs
Madlibs
Photo Albums
Polls
Product Reviews
Quizzes
Survey Forms
Web Pages
Word Searches
