Pj Problems - Overview
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Painting
At about time t = 1013 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 = 1013 secs.
(b) Why did the Universe not contain atoms, even though protons, neutron and electrons were present from t=102 to t=1013?
(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: S7P3A32, S7P1A15, S7P4A41.
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 ≤1013, t in seconds).
At t=0: the Big Bang and there was Light. temperature(temp)=infinitely hot.
At t=10-43: temp about 1032K. 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 1028K. 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=1016K. Electromagnetic force separates from weak nuclear force.
At t=10-6: temp=1013. Quarks combine to form Baryons(protons and neutrons). Leptons(electrons and neutrinos)emerged.
At 1 ≤t ≤ 100: temp=1010K. Neucleosynthesis - protons and neutrons combine to form nuclei.
At t= 1013(about 300,000yrs): temp=103. 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 (S7P3A32) of an Energy Source.
- The Force established matter's residency (S7P1A15) in Space.
- An infinitely hot mobile residency (S7P4A41).
- Subatomic particles, Quarks emerged (S7P2A22).
- strong nuclear force separates from electroweak force (S7P3A32).
- Electromagnetic force separates from weak nuclear force (S7P3A32).
- Quarks combine to form Baryons(protons and neutrons) (S7P6A66).
- Leptons(electrons and neutrinos)emerged (S7P2A22).
- Neucleosynthesis - protons and neutrons combine to form nuclei S7P6A66).
- Recombination:electrons-protons attraction established (S7P3A31).
- Recombination cleared travel-paths for photons (S7P5A52)
- Simplest atoms formed (S7P7A72).
Thus, the approximate PjProblemStrings Sequences of the early Universe from birth to about 300,000yrs (0 ≤t ≤1013, t in seconds):
S7P3A32S7P1A15S7P4A41S7P2A22S7P3A32S7P6A66S7P3A31S7P5A52S7P7A72.
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 = x2 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