co-author: Alexis Clancy
The advanced software of the New Computer Science will have noteworthy game-like qualities, and one of the first areas of business where Shapiro Technologies (a science fictional company which may or may not ever come into existence) will participate will be computer games.
As a living evolutionary system, the living software has to continuously face challenges.
Since these challenges cannot be met within the restricted frame of the immediately available options, the living software has to creatively evolve.
The A-Life creature has to creatively evolve in order to go on living.
The development of the Next Generation of computer games must proceed via the programmer empathically entering into the perspective and viewpoint of the software creature.
Of critical importance here is Alexis Clancy’s mathematical theorem of Mutation.
The Mutation theorem centres around the interactivity between Clifford Bundles and quantum (wave) potentials.
A Clifford Bundle is a section of a Riemann object that has one Möbius Inflection.
A Riemann object is an object of Riemann Geometry, the geometry that frames both quantum mechanics and general relativity.
A Möbius Inflection is associated with the first Symmetry Break, the first dimension that is time.
The aspect of note in a Clifford Bundle lies in the fact that within this Bundle there exists a “reversal of sign”, i.e., a Möbius Inflection.
A single Möbius Inflection is associated with the first break in symmetry – the first dimension – Time.
The Mutation occurs when a pair of collapsing waves interact with the Möbius Inflection of the Bundle.
The Mutation occurs when an Aleph Point (the point of operation of an Aleph Operator) interacts with the Aleph point of the Clifford Bundle.
Newton’s Third Law is violated.
At this point, the operations of the overall system cease to be clockwork, i.e., novel.
If we look at the Schrödinger frame, we see it as a Hyperbolically Pinched (Riemann) Cone.
As the space becomes more confined (or stressed) – in this case, close to the origins of the Hebrew glyph Samekh – there exists a greater probability that the Möbius inflexion of the Clifford Bundle will play on the event, interact with the Aleph point of the wave as the intervals in question are becoming smaller; as too is the Time interval given for the wave to oscillate.
The tighter the confines on the system, the greater the chance of Mutation.
What follows from this is a fundamental revision of standard Genetic Algorithms, where the probability of mutation seems to be always given as a constant.
In our model, the probability of mutation is given to be a coupled function of Time and the Universal Schödinger.
When it comes to stochastics, the closer the method is to a phenomenon, the better the method functions.
Novel behavior is timed more accurately.
Novel behavior is easily programmed, but the key “trick” is allowing the model / application to mutate – i.e., be novel – at the right time.
Where the revision lies is in the concept of Aleph operating on Aleph.
In this case, a Clifford Aleph operating on a Schrödinger Aleph yields a violation of Newton’s Third Law.
Since Aleph is the implicit operator, any operator operating on an operator from a neighboring system will yield a Mutation.
Just imagine the shapes of the Alephs playing.
We propose an Operator as ket; i.e., an Operator as a quantum vector.
The initial deduction lies in examining the energy breakdown of Natalie’s Fractal.
The energy of the instance wave is strictly analogous to the energy of the shadow wave which is strictly analogous to the energy of the instance energy of the collapsed shadow.
The epsilon energy that separates the two collapses.
The epsilon energy is strictly analogous to the Aleph Operator – assuming conservation of energy – and an energy signature infers a time signature.
The orientation of the Aleph Operator is important to the overall description, since this Operator dictates the nature of the “Jump,” or the hops of time-space hems of respective waves operated on by the Aleph.
Aleph-Right is not the same as Aleph-Left – so we have a vector.
An Operator must be given time to operate – this is another critical aspect of our overall stochastic method.
In existing computer science (which is not yet a science and is just computer engineering), so much emphasis is put on speed, but it is actually in our interests to slow many aspects down so that our Operators can do their work.
Further implications of this proposal are that an Operator can Operate on another Operator – and on itself.
We draw on these implications to develop theories of Wave Form Collapse and theories of Mutation.
Computer games and Emotions.
Computer games and Literature.
The “O’Brien License” refers to the initial paragraphs of Flann O’Brien’s novel “At Swim-Two-Birds,” where the author asserts that any given narrative has infinitely many beginnings and infinitely many endings.
O’Brien thus commences his novel with 3 beginnings.
According to our new mathematics, the same is true for mathematical narrative, particularly with respect to the treatment of the origin.
Alexis proposes multiple origins to instantiate a mathematical model and the objects therein, adopting the Hebrew glyph Samekh – “ס “ - to represent these origins.
In the beginning, there is but one origin.
In the end, there is but one origin.
Beginning and end are interchangeable.
Mathematically speaking, time can run either forwards or backwards.
Yet at any point between origin and end – and we are at some point in between – it is not the case that there is but one origin.
[0, ∞] can be re-written as [Samekh left, Samekh right], where, although Samekh is Samekh, a line can be instantiated.
To instantiate a triangle, three Samekhs – or three origins – are required.
Samekh has the Gementria value of 60.
This gives strong narrative weight favouring its adoption.
Describing how our software would be used, Alexis uses the term “Holistic Warmth.”
Holistic Warmth as an emotion is one of the fundamental human seekings.
Holistic Warmth belongs on the second tier of Abraham Maslow’s Hierarchy of Needs – i.e., Security of Body.
We extend this to Security of Mind, Body, and Soul – through Game-Play.
Maslow’s Hierarchy of Needs is a theory in psychology, proposed by Abraham Maslow in his 1943 paper “A Theory of Human Motivation.”
A well-known interpretation of Maslow’s Hierarchy of Needs – by Simons, Irwin, and Drinnien – depicts a pyramid with 5 tiers or levels of Needs.
Such a conception could be the basis for developing a psychological theory of adding emotions to computer games – a project which requires some serious intellectual content.
Level One: Physiological (breathing, food, water, sex, sleep, homeostasis, excretion).
Level Two: Safety (security of: body, employment, resources, morality, the family, health, property).
Level Three: Love/belonging (friendship, family, sexual intimacy).
Level Four: Esteem (self-esteem, confidence, achievement, respect of others, respect by others).
Level Five: Self-actualization (morality, creativity, spontaneity, problem solving, lack of prejudice, acceptance of facts).
How do you find enough time to write this blog ?!?