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The TECTechnics Classroom

The above diagram is an illustration of the three fundamental concepts needed for a comprehensive understanding of existential problems. It consists of:

(1) The Summary of Existence: a mathematical identity which presents existence as a totality of matter's ({m}n) adventures in its myriad residences (si) in a universal apriori Space Continuum, S.

These adventures are expressed in various snapshots of time t within the boundaries of the time of birth (tb) and the time of death (td), as 7 existential problems called Pj problems: containership, identity, force, motion, change, grouping/interaction and equilibrium. In essence, all problems nature poses to humans are pj problems. In other words, the Knowledge-Information Continuum humans have established is a composite of only pj problems.

Most problems are composites of pj problems. In such scenarios, there are Dependent Pj Problems (DPP) and Independent Pj Problems (IPP). The problem for which solution is sought is the Pj Problem of Interest (PPI). For example, Consider a pot of water that is placed on a heated stove. Initially, there is one pj problem associated with this scenario: the contanership property of the pot. There will be two pj problems if the identity of the liquid in the pot is required (in this case we know that it is water). When the water in the pot begins to boil, the pj problems of motion and force due to the kinetic energy of the atoms of the water come into play. So does the pj problem of change due to the decrease in volume of the boiling water. All pj problems in this scenario except the containership problem are dependent pj problems. The Pj Problem of Interest (PPI) is the problem for which solution is sought. For example, the problem of interest (PPI) may be to determine the change in volume of the water after it has boiled for some time t.

(2) The Problem-Solving Arrow: indicates the duality in matter's residence (static and dynamic spaces) and the duality of the problem flow of existential problems (static <-> dynamic <-> dynamic <-> static).

(3) The Problem Genome: is the complete genetic expressions of existential problems. In other words, existential problems are coded by nature. This code consists of two base sequences (one sequence for the static space and the other for the dynamic space) attached to the Allele of interest of a Pj Problem of Interest. An Allele is a variation of a Pj Problem of Interest. For example, location, volume and area problems are alleles of the Pj Problem containership (P1).

The base sequence for matter in a single-matter static space is P1P2P7 = 127. This base sequence says that matter is in equilibrium in the given space. Its containership is represented by 1; its identity is represented by 2 and its equilibrium is represented by 7.
The base sequence for matter in a single-matter dynamic space is P1P2P7P3P5 = 12735. This base sequence says that the action of some force represented by 3, has resulted in a dynamic space represented by 5 which is a change code since the primary characteristic of a dynamic space is change.
The Allele of Interest of a PPI is then attached to the base sequences to form a Pj Problem String (PPS) with P1 (containership) as its lower bound and the allele of interest of a PPI (PPI.A) as its upper bound. It is important to note that the first 5 prime numbers constitute the alphabet for the base sequences of Pj Problem Strings. Even numbers come into play in the representaion of PPIs and their Alleles and in the representaion of multi-matter spaces.

The Problem Genome is a mesh of infinitely many Pj Problem Strings and it is the Story of the Universe.

The TECTechnics Classroom is a virtual space where we use the concepts of Existential Triad to present pj problems and their solutions. Detailed solutions of the problems are freely accessible to registered users. In the TECTechnics Classroom the movement is from the familiar (all 7 universal concepts are familiar to the average person) to the complex. The student is the teacher and the teacher is the student, that is to say that everyone is a perpetual learner.

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