Expressions Of Pj Problems

Pj Problems - Overview

Celestial Stars

The Number Line

Geometries

7 Spaces Of Interest - Overview

Triadic Unit Mesh

Creation

The Atom

Survival

Energy

Light

Heat

Sound

Music

Language

Stories

Work

States Of Matter

Buoyancy

Nuclear Reactions

Molecular Shapes

Electron Configurations

Chemical Bonds

Energy Conversion

Chemical Reactions

Electromagnetism

Continuity

Growth

Human-cells

Proteins

Nucleic Acids

COHN - Natures Engineering Of The Human Body

The Human-Body Systems

Vision

Walking

Behaviors

Sensors Sensings

Beauty

Faith, Love, Charity

Photosynthesis

Weather

Systems

Algorithms

Tools

Networks

Search

Differential Calculus

Antiderivative

Integral Calculus

Economies

Inflation

Markets

Money Supply

Painting

PjProblemsStrings Sequences Of The Early Universe

At about time t = 10^{13} secs (300,000 yrs), the Universe was emerging from its early beginnings. The *atom* became the most stable matter about this time.

(a) Highlight the journey of the early Universe from time t = 0 secs to time t = 10^{13} secs.

(b) Why did the Universe not contain atoms, even though protons, neutron and electrons were present from t=10^{2} to t=10^{13}?

(c) What atoms were formed during the process called recombination?

(d) Which forces were responsible for the protons-protons bonding, and the protons-electrons attraction that made the formation of atoms possible?

(e) What is the principal atomic motion that resulted from the success of recombination?

(f) Recombination cleared travel-paths for photons(light's sub particles). Consequently, photons were able to travel freely and farther. A change that made knowledge of the universe possible. True or False?

(g) Our world is made up of Quarks (protons, neutrons) and Leptons (electrons, muons, taus). We can observe in the everyday world, only up and down quarks, electrons and electron-neutrinos. These particles are called first generation particles.

Group these interactions: proton-proton; proton-neutron; proton-electron?

(h) What was the most stable matter in the Universe when it was about 300,001 yrs old?

(i) Describe the PjProblemStrings for each of the highlights in (a). Thus establish the PjProblemStrings Sequences of the early Universe.

**The strings**:
Creation Strings: S_{7}P_{3}A_{32}, S_{7}P_{1}A_{15}, S_{7}P_{4}A_{41}.
**The math**:

All Pj Problems are at play.

Only the Creator of the Universe is privy to the exact details of the pre-origin and early Universe. The information presented here on this subject is best speculations based on current human knowledge of the Universe, billions of years after it was created.
**(a)** The early Universe from birth to 300,000yrs (0 ≤t ≤10^{13}, t in seconds).

At t=0: the Big Bang and there was Light. temperature(temp)=infinitely hot.

At t=10^{-43}: temp about 10^{32}K. radiation everywhere, matter & antimatter present in about the same amount. Knowledge about the Universe at this time is minimal.

At t=10^{-35}: temp about 10^{28}K. Subatomic particles called Quarks emerged.

At 10^{-35} ≤ t ≤ 10^{-32}: inflation of the Universe due to the separation of strong nuclear force from Electroweakforce.

At t=10^{-11}: temp=10^{16}K. Electromagnetic force separates from weak nuclear force.

At t=10^{-6}: temp=10^{13}. Quarks combine to form Baryons(protons and neutrons). Leptons(electrons and neutrinos)emerged.

At 1 ≤t ≤ 100: temp=10^{10}K. Neucleosynthesis - protons and neutrons combine to form nuclei.

At t= 10^{13}(about 300,000yrs): temp=10^{3}. Recombination:electrons-protons attraction established, simplest atoms formed.
**(b)**The Universe was expanding & cooling, but still too hot for protons-electrons attraction.
**(c)** Hydrogen, helium, lithium, beryllium.
**(d)** Strong force and electromagnetic force.
**(e)** Orbital motion of electrons around atomic nuclei.
**(f)** True.
**(g)** Quark-Quark; Quark-Quark; Quark-Lepton.
**(h)** Atoms.
**(i)**
- The Universe was created by the Force (S_{7}P_{3}A_{32}) of an Energy Source.

- The Force established matter's residency (S_{7}P_{1}A_{15}) in Space.

- An infinitely hot mobile residency (S_{7}P_{4}A_{41}).

- Subatomic particles, Quarks emerged (S_{7}P_{2}A_{22}).

- strong nuclear force separates from electroweak force (S_{7}P_{3}A_{32}).

- Electromagnetic force separates from weak nuclear force (S_{7}P_{3}A_{32}).

- Quarks combine to form Baryons(protons and neutrons) (S_{7}P_{6}A_{66}).

- Leptons(electrons and neutrinos)emerged (S_{7}P_{2}A_{22}).

- Neucleosynthesis - protons and neutrons combine to form nuclei S_{7}P_{6}A_{66}).

- Recombination:electrons-protons attraction established (S_{7}P_{3}A_{31}).

- Recombination cleared travel-paths for photons (S_{7}P_{5}A_{52})

- Simplest atoms formed (S_{7}P_{7}A_{72}).

Thus, the approximate PjProblemStrings Sequences of the early Universe from birth to about 300,000yrs (0 ≤t ≤10^{13}, t in seconds):

S_{7}P_{3}A_{32}S_{7}P_{1}A_{15}S_{7}P_{4}A_{41}S_{7}P_{2}A_{22}S_{7}P_{3}A_{32}S_{7}P_{6}A_{66}S_{7}P_{3}A_{31}S_{7}P_{5}A_{52}S_{7}P_{7}A_{72}.

Math

The *point* **.** is a mathematical abstraction. It has negligible size and a great sense of position. Consequently, it is front and center in abstract existential reasoning.

Derivation Of The Area Of A Circle, A Sector Of A Circle And A Circular Ring

Derivation Of The Area Of A Trapezoid, A Rectangle And A Triangle

Derivation Of The Area Of An Ellipse

Derivation Of Volume Of A Cylinder

Derivation Of Volume Of A Sphere

Derivation Of Volume Of A Cone

Derivation Of Volume Of A Torus

Derivation Of Volume Of A Paraboloid

Volume Obtained By Revolving The Curve y = x^{2} About The X Axis

Single Variable Functions

Absolute Value Functions

Conics

Real Numbers

Vector Spaces

Equation Of The Ascent Path Of An Airplane

Calculating Capacity Of A Video Adapter Board Memory

Probability Density Functions

Boolean Algebra - Logic Functions

Ordinary Differential Equations (ODEs)

Infinite Sequences And Series

Introduction To Group Theory

Advanced Calculus - Partial Derivatives

Advanced Calculus - General Charateristics Of Partial Differential Equations

Advanced Calculus - Jacobians

Advanced Calculus - Solving PDEs By The Method Of Separation Of Variables

Advanced Calculus - Fourier Series

Advanced Calculus - Multiple Integrals

Production Schedule That Maximizes Profit Given Constraint Equation

Separation Of Variables As Solution Method For Homogeneous Heat Flow Equation

Newton And Fourier Cooling Laws Applied To Heat Flow Boundary Conditions

Fourier Series

Derivation Of Heat Equation For A One-Dimensional Heat Flow

Homogenizing-Non-Homogeneous-Time-Varying-IBVP-Boundary-Condition

The Universe is composed of *matter* and *radiant energy*. *Matter* is any kind of *mass-energy* that moves with velocities less than the velocity of light. *Radiant energy* is any kind of *mass-energy* that moves with the velocity of light.

Periodic Table

Composition And Structure Of Matter

How Matter Gets Composed

How Matter Gets Composed (2)

Molecular Structure Of Matter

Molecular Shapes: Bond Length, Bond Angle

Molecular Shapes: Valence Shell Electron Pair Repulsion

Molecular Shapes: Orbital Hybridization

Molecular Shapes: Sigma Bonds Pi Bonds

Molecular Shapes: Non ABn Molecules

Molecular Orbital Theory

More Pj Problem Strings