This independence created by philosophical insight is—in my opinion—the mark of distinction between a mere artisan or specialist and a real seeker after truth. (Einstein to Thornton, 7 December 1944, EA 61-574)
See also: Entheorizing
So nature has it’s way in which it may express itself, yet, to settle on how such selections are parametrized in expression is to “know in advance” what you are looking for. How to approach it for the simplest summation of that event that may help one to arrive at a conclusion. So this procedure has done that.
The search looks at a class of events called jets plus missing energy – proton collisions that result in a shower of hadronic particles plus a stable, neutral particle that escapes detection – and ignores events that show signs of electrons or muons.See:Keep it simple, SUSY
Both the theorists and the experimentalists looked only at the pile of tokens that landed in a particular slot at the bottom of the Plinko board. While the experimentalists had a set of guidelines about how the tokens should have gotten there and excluded any tokens that didn’t follow the rules, the theorists didn’t care as much about that. They were primarily concerned with the mass of the initial particles, the mass of the final particles and the ratio between them.
When the initial massive particles decay into lighter ones, the total energy must be conserved. Sometimes this energy goes missing; if the missing energy adds up to a certain amount, it could mean that a supersymmetric particle carried it away without being detected.See:Keep it simple, SUSY
So the coordination in thought process is to know what events help us to distinguish where such events allow for missing energy to be in evidence, so as to direct our attention to that amount of energy that is missing.
This has been known for quite sometime, as to the dimensional significance of new areas of probability concerns, as to extend our rationalizations on extra dimensions of a space, that we have been to this point limited on explanations and sought after by those looking to explain the abstract world that as yet remains unseen other then in this venue.
Naysayers comment loudly on abstraction in mathematical explanations but it helps one to be able to know what space we are talking about so don’t let them persuade you into thinking it’s not worth the time or expense of theoretical thought to venture into such areas as being irresponsible action around scientific thought.
Black swan theory
The Black Swan Theory or Theory of Black Swan Events is a metaphor that encapsulates the concept that The event is a surprise (to the observer) and has a major impact. After the fact, the event is rationalized by hindsight.
The theory was developed by Nassim Nicholas Taleb to explain:
- The disproportionate role of high-impact, hard to predict, and rare events that are beyond the realm of normal expectations in history, science, finance and technology
- The non-computability of the probability of the consequential rare events using scientific methods (owing to the very nature of small probabilities)
- The psychological biases that make people individually and collectively blind to uncertainty and unaware of the massive role of the rare event in historical affairs
Unlike the earlier philosophical “black swan problem“, the “Black Swan Theory” (capitalized) refers only to unexpected events of large magnitude and consequence and their dominant role in history. Such events, considered extreme outliers, collectively play vastly larger roles than regular occurrences.
See Also:The Black Swan
In this article I talk about the Demarcation problem:
The demarcation problem (or boundary problem) in the philosophy of science is about how and where to draw the lines around science. The boundaries are commonly drawn between science and non-science, between science and pseudoscience, between science and philosophy and between science and religion. A form of this problem, known as the generalized problem of demarcation subsumes all four cases.
After over a century of dialogue among philosophers of science and scientists in varied fields, and despite broad agreement on the basics of scientific method, the boundaries between science and non-science continue to be debated.
Hind sight dictates that the solution for consideration is parametrized by the selection and location where such events might be identified to help discern that such location exist in space
The machine consists of a vertical board with interleaved rows of pins. Balls are dropped from the top, and bounce left and right as they hit the pins. Eventually, they are collected into one-ball-wide bins at the bottom. The height of ball columns in the bins approximates a bell curve.
Overlaying Pascal’s triangle onto the pins shows the number of different paths that can be taken to get to each pin.
A large-scale working model of this device can be seen at the Museum of Science, Boston in the Mathematica exhibit.
Distribution of the balls
If a ball bounces to the right k times on its way down (and to the left on the remaining pins) it ends up in the kth bin counting from the left. Denoting the number of rows of pins in a bean machine by n, the number of paths to the kth bin on the bottom is given by the binomial coefficient . If the probability of bouncing right on a pin is p (which equals 0.5 on an unbiased machine) the probability that the ball ends up in the kth bin equals . This is the probability mass function of a binomial distribution.
According to the central limit theorem the binomial distribution approximates normal distribution provided that n, the number of rows of pins in the machine, is large.
Several games have been developed utilizing the idea of pins changing the route of balls or other objects:
|Wikimedia Commons has media related to: Galton box|
- An 8-foot-tall (2.4 m) Probability Machine (named Sir Francis) comparing stock market returns to the randomness of the beans dropping through the quincunx pattern. from Index Funds Advisors IFA.com
- A simulation with explanations
- Another simulation from John Carroll University
- Quincunx and its relationship to normal distribution from Math Is Fun
- Dynamical turbulent flow on the Galton board with friction
- Animations for the Bean Machine by Yihui Xie using the R package animation