Wednesday, February 24, 2016

Game Hypothesis Mario 64 Tesseract and Euclidean Space Theory

Cover of Nintendo 64 Cartridge 
(2/23/2016) --- Hello everyone, thank you very much for your last comments on my Rick and Morty: Pocket Morty's Theory which was my first time writing something towards more pop oriented.

This is just a theory of mine, nothing else, in which a little bit of entertainment is mixed with some knowledge in order to create an explanation for a game event or a setting.

We all know Super Mario 64, as it became one of the most iconic games of the late 1990's with the release of the Nintendo 64. The premise of the game is quite simplistic - Princess Peach sent Mario a letter in which she invited him for a cake in the castle. When Mario arrives he found himself greeted by a Lakitu Bros who follow him with a camera (as the Lakitu is the reference point of the player for the adventure); as Mario goes near the castle, Bowser greets him off-camera and ask him to leave. -

Happy Little Toad
- When Mario finally reach inside the castle he is greeted by Toad who explains that Bowser kidnapped Peach again, stole 120 Power Stars and trapped everyone inside the castle walls. - The game itself is quite charming almost 20 years later, in which also introduced the idea of 3D concept into the home consoles to the players.

Yes, the idea of having stereoscopic elements in video games is not new. It goes as far as the 1960's in which the idea of entertainment was explored with The Sword of Damocles in which technically virtually reality was invented by Dr. Ivan Sutherland. There's always that hand between science fiction, physics and technology that goes hand in hand at the moment of creating entertaining.


What it is fantastic about video games is that they can mix a complete set of real life theories into their games mechanics, what it gets my attention within Super Mario 64 is how in a subtle way the concept of Real Coordinate Space is applied in such a joyful fashion, but not only on the Topological level but also concepts from Euclidean Space and the geometrical concept of the Tesseract.

Coordinates
Why I am mentioning the Hypercube as beginning? To start the game models the hub or central point of navigating through the game connects on different coordinates, in which we could consider 0 as the zero object vector if we talk about in algebraic concept.

From that point where Mario arrives in the castle we could consider the cross-polytope as the starting point to navigate through the adventure.

As we explore what Boswer did in order to kidnap Peach we could consider there is no exit or no entrance; we could navigate perfectly back and forth through the different points in time and space, but time itself won't fold backwards or way too forward thus creating a paradox. Time within the game is fixed and will go continuously within certain events that are related through the story line.

Course 1
The paradoxes will appear whenever the player would have the desire to repeat a course or a certain specific level, but since time is fixed as a continuous event, no matter what actions you take when you repeat a mission, as soon you clear it you won't be able to alter the past and the course will show any starts you obtained as shadows of who they were.

Let's discuss this option within the concepts of Discrete Time and Continuous Time  with the first level Bob-Omb Battlefield . The Bob-Omb Battlefield is the first of 15 levels inside the game, each level offers a unique perspective in which how time develops inside the painting or to better say it inside the four-dimensional space that Bowser created inside each paint and how those paintings connect to different physical points of space in which Mario can interact with but as soon as he leaves his own presence times inside those paintings resets.

Big Bob-Omb
Using Big Bob-Omb, the King of the Bob-Ombs as an example. He will always be there whenever the character comes back but his interactions will change depending on which character goes. In Super Mario 64 DS Big Bob-Omb will have a different dialogue with each character, but as soon the player completes the course his star will be gone.

In Mario 64, there is only one set of dialogue that reacts to the plumber but any previous actions will be just shadows. Every single step the plumber takes could be measured within an exact description of what the player does.

Also each scenario exhibits as it was mentioned a reference of an Hypercube, not only where time folds but also we could see how the topography of each course acts as vertex-first perspective projection. To have an idea; the player can see the entirely where he is trapped just by going to a high point in each scenario and look around the sky and see the coordinate dimension that conform each one of the courses.

Tesseract Net
It is just beautiful to see some of those dynamics; it gives even the idea that Mario was already trapped inside Bowser's jaw as soon he placed a foot in the courtyard of the castle. As the outside of the castle seemed to be trapped also inside some form of Tesseract net. The castle being in the middle, the courses inside but as well being distributed on each side of the cubes and eventually Bowser on the top.

Another reason on why I say the entire game is one big Hypercube is because Bowser itself seems to avoid death several times as each painting as their own time and sets of rules. In which Bowser will be alive and dead after each defeat but yet he seems to avoid death several times just by escaping from the each cube or paint.

The game itself can be an endless nightmare in which Bowser just created an impossible trap to escape in order to lure and kill Mario. In which probably there is an existential nightmare as which each game over, which is dead there is just a mere beginning to an endless time loop.

References:

  1. http://www.guscalvo.com/2016/02/rick-and-morty-theory-of-what-happened.html
  2. http://www.mariowiki.com/Super_Mario_64
  3. http://design.osu.edu/carlson/history/lesson17.html
  4. http://mathworld.wolfram.com/Tesseract.html
  5. Hazewinkel, Michiel, ed. (2001). https://en.wikipedia.org/wiki/Euclidean_space
  6. https://en.wikipedia.org/wiki/Discrete_time_and_continuous_time

Monday, February 22, 2016

Rick and Morty Theory of What Happened to Prime Rick

Crazy Mysterious Rick
(2/20/2016) --- At the end this is just a theory I had after seeing certain clips within the show, how certain events of the show connect or at least are vaguely explained in between the game as well the different episodes.

We all know, the show exposes the idea of different dimensions but also there is a general lack of continuity in different episodes. That wasn't made randomly, the idea of lack of continuity was made in order to keep the "organic" development of Rick and Morty story-line but at the same time there are some fixed elements that can be give some clues about the characters backgrounds.

The game Pocket Morty's link towards the television show and gives some vaguely but insightful information about the Rick and Morty multiverse and which character is each one. To start we need to locate the focal point of the game in which is Morty, just Morty without any title or other characteristic.

Assuming that this game takes place on the replacement dimension after the events of Episode 6 then Morty from Dimension C-137 and (Rogue) Rick as there are no signs of the Cronenbergs and Jerry seems to be aware of the Rick Citadels as well he seems to be in touch with Rick adventures, an aspect the Jerry from Dimension C-137 wasn't too aware off.

Morty
On the first episode we learned that Rick has been absent from his family for at least 15 years in which expands much of Summer's life as well Morty's entire one, On January 15th Rick suddenly appeared as on the Pilot the viewers know that Rick has been living with the Smith's for at least a month. In that short amount of time he started to bond with his grandchildren, at least the C-137 version's of Summer and Morty.

There are some contradictions in which he seems to be that Rick visited at a certain point of Morty's childhood but overall was extremely absent of his family life, as well on Close Rick-Counters of the Rick Kind the Beth from the Replacement Dimension seem to have a more friendly approach with her father as before the Rick from that dimension died he seemed to be more constant in their lives that the Rick from Dimension C-137.

The Replacement Dimension and C-137 seemed to follow a similar course in their histories, as well from the dimension in which Rick seems to come from, giving him the chance to fit properly in all of them. C-137 has another gap in which it seems the original Rick from that dimension vanished without a trace and the Rogue Rick took his place after killing his own Morty.

Rogue Rick original Morty demise
The idea that the Rick we know is not from C-137 at all comes from the very intro in which he abruptly escapes from a dimension or a planet filled with predator toads in which his Morty eventually got killed. Instead of trying to fix the problem by cloning his Morty or "traveling through time" or dealing with his family, he just jumped to the C-137 in which the Rick there was absent for a long time.

Trying to fix his mistakes he took some interest on his grandson from that dimension and became his protector, up to the point that he had shown some borderline personality to keep his new Morty safe, but also he kept some of his lazy habits in which he created the Cronenberg virus and instead of fixing he just left along with Morty to a dimension in which his replacement counterparts died in an explosion after fixing the Cronenberg virus.

Mysterious Rick
Assuming that the Rick from C-137 came back and found the world infected with the virus and no signs of his Morty he probably went insane for not having the symbiotic relationship most of the Rick have with their Morty's after being separated for certain periods of time. This Rick started desperate to search for his Morty and in the process recruiting almost any Morty's he found as substitutes.

Then during the game events Mysterious Rick or as I like to call it Prime Rick seems to be focused on Rogue Rick Morty, his Morty that Rick stole as Rogue Rick became responsible of his own Morty demise at the jaws of the carnivore toads.

As time passed Mysterious Rick succumbed to the insanity of not being synchronized to his own Morty and couldn't sync with any of the ones he captured or stole to other Ricks and so he became the detonator on why the Pocket Morty's game started, in which it seems to be innocent at the very beginning but the game itself could bring a problem to reality as every Morty needs their own Rick.

What happened to the Rick we see the on the very beginning is the same Rick that took over in C-137 out of guilt of letting his own Morty die, while the Prime Rick was away, thus leading to the events of Pocket Morty's Game and transforming him into Mysterious Rick which at the beginning and the end Mysterious Rick was only trying to recover his Morty from Rogue Rick by using a very complex plot that probably started by a mere accident.

Friday, February 5, 2016

The Legend of Zelda and How the Many Worlds Interpretation

Official Zelda Timeline - Hyrule Historia
(2/05/2016) --- Lately I've been thinking on how the concepts of physics as well biology are applied on video games towards their own cosmology rules. Instead of going through a hypothetical lengthy explanation we can use the concept of involving pop culture to analyze and theorize some of the theoretical scenarios towards video game universe.

On this first entry let's going to talk a little bit about The Legend of Zelda and how through over the last 30 years has offered different games in which they set on a kingdom known as Hyrule but there are multiple divergences on the actions the character Link takes towards personal decision or the external influences of others.

The Many-Worlds Interpretation is not a relative concept that is linked towards the Legend of Zelda, at least speaking on a pop culture level. Companies as Marvel and DC Comics had used the Multiverse and Many Worlds theory to explain the different approaches of the different reboots or shifts in reality that their heroes face.

DC Comics New 52
In the DC-verse within the current New 52 universe where it is explained that the multiverse created 52 different parallel Earths (Hyde, 2011). In part that decision was to create a new line-up for the comics but as well to give the readers a complex story line on how the universe through the wave-function collapse can in theory regenerate itself or through the course of certain beings.

This concept itself was at first proposed by physicist Hugh Everett in 1957  (Byrne, 2010) in which he termed as the "relative state of formulation". The theory itself can be described as an ontological and literal interpretation of the creation of other worlds just by mere interaction with the universe.

It is simple but yet complex to describe it in one simple entry, but as well is fascinating to think on how much physics and astrophysics towards their literal speculation towards philosophy and nature can give to the mass cultures so much influence and entertainment.

Many-world implies that all possible alternate histories and futures are real, each one of them representing an actual "world" or in another case an actual universe. The hypothesis states that there is a very large number of universe, even so maybe infinite, leading the possibilities that any actions that didn't happened in our past but there was a chance they could, has occurred in some other universe. The theory itself has links to the Copenhagen Interpretation as well to the Schrodinger  Equation in which everything at the end could be a correlation paradox.

The many faces of Link
Each of the time-lines (3 in total) until divided by Ocarina of Time (Zeldapedia: Ocarina of Time, 1998) give outlooks on the decisions each of the characters had taken as well on how the world adapted after each action and war.

One example goes on the "Downfall Timeline" in which Link is killed after failing to stop Ganondorf and Ganondorf eventually is sealed on the Sacred Realm which due the evil influence it turned into the Dark World.

Then on the timeline known as the "Adult Timeline" in which Links defeat Ganondorf, the tragedy mirrors what happened in the "Downfall" one and because of the actions of Ganon eventually Hyrule is flooded and later a new continent is discovered where the Kingdom is reborn. Each of these two timelines goes into a correlation in which there is not a physical description of reality but rather similar scenarios that are destined to mirror each other all based on actions.

Demise
The idea of the different worlds could be applied to the metaphysical concept of reincarnation that is known as reincarnation and is applied to the game. The most specific example is with Demise course in which he set an endless cycle of suffering for Link, Zelda and Groose descendants in which no matter what generation they are, it will be a new world and a new time where suffering is linked to all of them in order to achieve glory.

The different worlds are created just by mere actions and odds in history. Giving the player the chance to explore different hypothetical scenarios about Hyrule and the adventures of Link.

It is matter of time to wait to see how the game known as Zelda Wii U will fit on the chronology of the franchise.



References:

  • http://www.dccomics.com/blog/2011/08/17/super-hero-fans-expected-to-line-up-early-as-dc-entertainment-launches-new-era-of-comic-books (Hyde 2011)
  • Peter Byrne (2010). The Many Worlds of Hugh Everett III: Multiple Universes, Mutual Assured Destruction, and the Meltdown of a Nuclear Family.
  • https://en.wikipedia.org/wiki/Schr%C3%B6dinger_equation
  • Quantum physics & observed reality: a critical interpretation of quantum mechanics. World Scientific. p. 2.
  • http://zelda.wikia.com/wiki/The_Legend_of_Zelda:_Ocarina_of_Time