The Synchronicity Theorem

Be one with whats around you, but be not of it.

...Mal spoke up while Jynx Played in the water. The stream filled with ripples as the child splashed about.
"I was allowed to research at the Alexandrian University, in Egypt. You've never heard of it?”
“Not at all.” He took a bite of his stew. It tasted fantastic. The mix of complex flavors created by the spices, vegetables, and meats danced on his palate.
“Morrigan must be tight lipped then. While at the university I focused my studies on the finer points of chaotic systems and started getting weird patterns.”
“Like what?” Tyler said, filling the silence as Mal took a bite herself.
“Mostly numbers. I would set a number generator or possibly play a roulette wheel and get a string of numbers. Sometimes it was a phone number that when called…” she stopped and shuddered.
“I'd rather not. Other times it led me to locations. That's how I found Jynx. She was being abused and mistreated in an asylum back in 89. I pulled the fire alarm, set her loose and set the place ablaze. Feel sorry for the doc though. Jynx shows no mercy.”
“With a scalple.” Jynx said almost in awe with her cheerful voice.
“Found gyp caught in a bear trap a few years later. He was right at the coordinates given to me by a winning lottery ticket. He lived in this wagon, offered to take me into the Chaosphere for helping him. We met our dark mother, soon after."

— From Morrigan

The Synchronicity Theorem

Synchronicity is an effect one can experience by analyzing the events in the world around you. To the initiated, it can be used to do a variety of tasks.
Chaos mages believe that coincidence and deja vu are much more than they seem. They are, to those who believe, a way of understanding your place in the world. To experience deja vu is to know that no matter what, you are right where you should be. Coincidence is another element of the theorem, particularly the titular synchronicities that occur in every day life.

In simple terms, synchronicity is a moment where a seemingly impossible coincidence occurs. Siblings being born on the same day, thinking of a bygone lover only to have them show up in your life not hours later, and having a song stuck in your head, only to hear it soon after you realize it are all examples of these events. These moments are brushed of as insignificant superstition, but to the precious few who understand them, they are so much more.
These moments can be tapped into by a chaos mage. The moment they experience it, they know that their environment is primed for a perfect storm. They can feel the desire to change in the very world around them. They breath it in and absorb this energy, clearing their mind as all mages do. They tap into these moments, these machinations of luck, and when they do one's fortune and fate can be changed for better or worse.

Luck Be A Lady...

It Isn't clear what it is that these practitioners do to cause the strange effects around them. Some speculate that the true cause lies in their openness to opportunity and taking chances. One cannot get lucky if they don't try ,after all. The idea is that one who is more open to taking chances and willing to jump at an opportunity is more likely to achieve positive results and thus, be lucky.
They are also more susceptible to focusing on the positive results than less desirable outcomes that occur. This self delusion can be powerful as more positive events begin to occur than the negative.

While this mindset is definitely required by all who practice the genre, it should not be considered the defining feature that makes this genre work. Luck is an oddity in the world as it doesn't appear to even exist, and yet there are plenty of spirits and metaphysical beings that actually represent it.
In reality luck is a secluded and often difficult to traverse domain that exists within the many domains of chaos. It is tucked away in the back corner of the metaphysical realm. No form of Arcane energy flows from it nor do any of its denizens have active control or influence over the physical world.

...Who Kills You While You Sleep

This presents a problem, the very problem the theorem is trying to solve: What is luck, if it even exists, and how can it be harnessed, controlled, and improved?
Those who sought to answer this question found it alarmingly difficult to do so.
On one hand luck is difficult to even prove. On the other, its incredibly easy to get it and lose it. Luck doesn't seem to be a primary factor in how our lives play out either as those who are luckiest can fail just as easily as those who are not.
Beings that are a metaphysical representation of luck have a reputation of behaving erratically, often without any kind of reason. One second, luck is on your side and the next, misfortune follows you where ever you go. Those who sought an answer seemed to have one, but spirits of luck don't attach themselves to just anything. It still seems a piece of the puzzle is missing.
Mages then came across a potential answer. It has been known for eons that there are countless worlds, one for every possible outcome to every possible moment. Luck could very well be the tie that binds the multiverse together and determines the outcome of each world. Perhaps Arcana Discordia gives one the power to reach out and tap into this process, persuading this force to choose outcomes that are in their favor.
It is effective in many ways and practitioners tend to have the kind of luck that would give anyone a moment's pause to contemplate whether or not they are cheating at life itself. Anyone who thinks this misunderstands the concept entirely, as any practitioner is more than capable of experiencing Lady Luck's cold shoulder. In fact, they know the icy sting more than most.

Ripples And Waves

This theorem is designed to prove that a practitioner can use coincidence and synchronicity as well as the ebb and flow of fortune and misfortune to actually cause changes in the world around them. These practitioners can give or take away luck and bestow it upon themselves or an ally. They can even take bad luck they have gathered over time and send it to their enemies as a parting gift.

Practitioners accomplish this by actively following synchronicity wherever they find it, no matter how good or bad it might end up.

They each have a set of sensations they rely on. Luck is not an arcane energy. It is not as tactile or visual as these energies are. They rely on trial and error, the best among them know exactly how much they have gathered and what they might be able to do with it just on these sensations alone. Some feel it within. They experience an overwhelming sense of happiness or sadness. Others rely on instinct, following a hunch or a feeling in their gut. Either way, they are certainly doing something as everything seems to go their way.
Once it is found, one could say that they bottle this luck whether good or bad, and contain it within themselves. This can be to the practitioners detriment as not balancing the good and bad luck one has gathered can cause some unexpected outcomes such as tripping over rocks that just happened to be at the right place at the right time or stumbling onto the very thing you've been searching for over many years. This magic is powerful, but difficult to maintain. most practitioners fail to do so and end up suffering some rather lethal consequences because of it.

The Key To Pandora's Box

The need of taking a chance as well as making sure to never pass up opportunities that come your way cannot be overstated. This is how one can passively gather luck. This is the true purpose of the theorem and why it has withstood the test of time. Teaching it prepares users who are new to the concept and genre the fundamental elements that support the use of the other three theorems. Gathering luck and using it is a special gift, but it is not the true power of the genre. The true power comes from the balance of potential and causation.