Imagine Time As A Tide Medium To Record Bookmarks Of Time For A Universe, But What About The Sum Of Infinite Natural Numbers Equal To -1/12 or -1/8?

Watching “Sum of Natural Numbers (second proof and extra footage)” video on YouTube, and I’m amused how the proof got to an answer of -1/12 for the summation of 1+2+3+4+n… (i.e., n to the infinity).  Part of the proof, the professor uses the geometric series (if I’m not wrong about this to be geometric series) of — 1+x+x^2+x^3+x^n… (as n to the infinity) equal to 1/1-x — to manipulate more numbers in more ways to come up with -1/12 as the answer to the sum of the infinite basic numbers such as 1+2+3+4+n… (as n to the infinity).  So, I guess if the proof in which the professor explains in the video is correct, adding basic items in a series to the infinity would equate to -1/12.  Nonetheless, what mind-blowing about this is that adding all the positive things yet it turns out to be a negative thing as in -1/12 (negative for sure).  Check out this video right after the break.

What is even more nifty is that I found another video on YouTube which relies on the video above to refute the -1/12 answer to the sum of positive things, and the video would argue that -1/8 is the real answer to this scenario.  Well, by now I’m totally confused by both videos for sure.  So, is it -1/12 is the answer to 1+2+3+4+n… (to the infinity) or the answer would be -1/8?  Check out the next video right after the break.

Anyway, it’s quite amusing, and I’m not sure if I’m ever going to be able to understand this proof.  Anyhow, maybe someday my mind will be a little brighter than now and I’ll definitely see how -1/12 would be the answer of the sum of infinite positive numbers.  Or is it that only the sum of all positive number series would equate to -1/12 or -1/8, but adding non-series numbers in total to the infinity would not equate to such answer?  But, all numbers like natural numbers can always be counted to the positive, thus does it really matter that non-series numbers in total to the infinity would turn out to be any differently than -1/12 or -1/8?

Honesty:

To be honest, I was wondering about how time and space can be infinite or not, and a similar question on Quora (Can time be infinite and space be finite?) got an answer which directs me to the first YouTube video which I had posted near the very top of this blog post.  Yep, that’s how I found out about these videos.

Personal thought:

Right now, I imagine time as in a single tide travels to an imaginative beach in which this beach got no sand barrier to block the tide, and this tide would ride on into the infinity and would never be able to hit against the sand barrier of the beach.  I imagine that each tide is a time.  Thus with this imagination I can conclude that each tide is an origin which represents a time medium.  Nonetheless, this time tide medium isn’t a regular tide, and so it would have history of time, like bookmarks of time.  Anything which rides upon the time tide medium would move forward with time, but leave history in bookmarks of time tide medium.  This imagination would allow me to go further by concluding that I can travel in time by revisiting the bookmarks of time tide medium, or perhaps I can jump to another time tide medium to visit the bookmarks of time of not my own altogether.  If this is possible, does it mean jumping to another time tide medium would mean escaping the current universe?  After all, I assume that different universe should allow a different behavior of time tide medium, because each time tide medium could behave differently altogether.  Anyway, this whole crazy mess I just ranted on is my imagination, and it has no proof of anything — meaning it’s nothing in reality and just an imagination (i.e., a fairy tale).

Perhaps, The Real Universes Are Also No Man’s Sky

This June, No Man’s Sky will be released on the 21st of the month.  This is one of those games that I can’t wait to get my game on.  The game is about an almost infinite galaxies and planets that you can travel to and explore.  From what I’d heard the travel between planets and galaxies is seamless.  An open world where wonders and monsters await, and each trip can be randomly dangerous.  If not prepare ahead, your next trip in No Man’s Sky may be a trip to hell.

Enough about the game, because I want to focus on something else entirely in this blog post.  I mentioned No Man’s Sky, because the game is special and unique since it would almost indefinitely generate new instances of parts of the universe that you travel through in your spaceship.  This means game assets and whatnot are going to be randomly created all the time through an algorithm.  This makes me wonder perhaps our real universe is also infinite.

When we escaped the planet earth, we suddenly realized the surmise of round earth is true.  We see galaxies, but we can’t get there.  We can’t really see the edge of the universe, because a simplest, smallest distance between earth and another planet is already too huge.  Just imagine an ant craws across a hill, and this ant must have thought that the hill is a galaxy.  How would the ant know that there is a universe in which humans are aim to travel across, right?

Imagine the real universe is also being instantly generated indefinitely, thus us humans would probably never be able to see the real edge of the universe.  Because, the edge of the universe would also be expanded farther and farther with no end in sight.  What if there are multiple universes that would never allow one realm to travel to another, but these realms are so different and have infinite generated instances?  Imagine the laws of physics would be so different from one realm to another.

I think as human civilization gets bolder with space, one day we may do No Man’s Sky for real.  Right now I can’t wait to play No Man’s Sky on PC, but our human civilization can’t wait to escape this space region.  I think nuclear power and the likes are progress, but only if us humans can be civilized.  Such technologies can catapult us humans out of this space region and go interstellar.  Nonetheless, we may go extinct if we can’t be civilized among ourselves.

Traveling Within A Network of Multiple Infinite Universes

With a pen and if you’re willing, you can write 0 and 1 into the infinity on an infinite, long paper.  With all of those 0s and 1s, you can basically form infinite patterns that represent whatever you want.  Our computer is much more complicate than using a pen to write down 0s and 1s pattern to form software, because it involves much more than just a pen.  Nonetheless, in theory, if a computer is strong enough, it can create 0s and 1s into the infinity to form a software of infinite.

In my mind, I imagine an infinitely strong computer as a universe.  The 0s and 1s — that form patterns — form up humans, planets, thoughts, and whatnot.  So in theory, if a computer as a universe that can write infinite amount of 0s and 1s without stopping, isn’t it creating an infinite universe?  Nonetheless, I can also imagine we have multiple infinitely strong computers which can create infinite 0s and 1s.  Isn’t this mean we have multiple infinite universes?  And if we can network these universes together in a Local Area Network, isn’t this allowing intelligent beings to travel between universes?  Just like data of 0s and 1s.

Although our existence is made of elements on periodic table, but how do we know the periodic table consists of all the possible elements there are in a universe?  After all, patterns can be formed infinitely in theory. We can already theoretically theorize how an infinitely strong computer can form infinite patterns with just 0s and 1s, and so it’s also possible for us to imagine the basic elements that form the higher elements can also multiply as if 0s and 1s, consequently forming infinite elemental forms within a universe.

I raise all sorts of interesting points about how infinite 0s and 1s can be, because I’m very curious of how infinite our universe would be.  Furthermore, I wonder is it possible that there are multiple if not infinite universes out there.  To go one step further, 0s and 1s existences in this universe are possible for there are those earliest basic elements that formed from the beginning of time since the birth of this universe.  This means, the universe herself probably is an expert in 0s and 1s.  I suspect the universe herself is infinite.  Nonetheless, if she is being networked within a web of universes, perhaps us intelligent beings (among others) are capable in traveling between multiple infinite universes in the future.

My Thought of the Day (April 20, 2015)

Mathematically, things are repeatable in multiple universes… either these phenomenons are to be happened in the span of many universes or in a single one.  The frequency of a specific repeatable thing will definitely be varied.  Why I find this is fascinating?  Well, let’s say multiple copies of you with exact genes from head to toes in different universes or in different time of the same universe.  Isn’t this fascinating?  Still, I would question if this is true for the infinite number in which as the number expands, the infinity would be dragged out and formed a brand new unique number, thus we have an infinity.  Can infinity be the exception to the rules in this regard?  If a number can be infinite, how many things are infinite out there?  Can a unique infinite be repeated at which frequency?  Well, I’m not a math wizard at all, and so I don’t have the answers to my own thoughts.  Funny isn’t it?

(No question is stupid!  Only stupid people would not dare to question!)