Emergence Model Concept Sieve 01: Named Concepts

The table below lists and links the various concepts mode shifted through the company’s original systems review resulting in the development of The Emergence Model. This page lists and links the enumerated concept number along with the name of each re: its particular concept and that page in turn links any associated concepts, including associated mathematics. There is a companion page to this page that is shorter and simpler but only provides the concept enumeration linked to the same pages. Use the page you find most effective for your given situation.

100% of Concept Sieve 01 Mode Shifts

All of these concepts mode shift in a fully compliant manner consistent with the Decision Checkpoint Flowchart and The Elegant Reasonism Generalized Process Flow.

Special Note of Acknowledgement

Accomplishments such as this are never done in a vacuum. Charles C McGowen, who was the lead primary researcher for SOLREI INC, would like to thank everyone whose insights contributed to humanity achieving the ability to perceive and engage the unified Universe. The degree to which any given individual influenced the development of these insights has been lost to history. However, to the best of his memory we have published a specific list of Acknowledgements. Others who contributed are noted by the fact their papers or presentations are stored in the User Library. We will further note that we found these contributions in the public domain, but if you are the primary author and do not wish to be recognized for your contributions to the accomplishment of unification and wish your material removed simply contact us. You will be asked to demonstrate with positive authentication and non-repudiation your claim and on confirmation your material will be removed in event of such a request. This is a one time action. Removed items will never be reinstated.

EMS01 Named Concepts

Over time we are going to turn this simple list into an HTML table enumerating the concept number, listing the concept name and then providing direct linkage to the mode based instantiation (e.g. enabling mode shifting) of that concept consistent with the 2D articulation layer of Translation Matrices. In this way this list serves several purposes. One is that it exemplifies points made on the Generalized Elegant Reasonism Process Flow chart shown in its various phases: Recognition, Illumination, and  Analysis. Another is to act simply as an example for learning.

  1. If the original Event’s constituents were finite; the universe is finite
  2. 3 Reality Structure Prior to Collision
  3. Real Particles Must Satisfy Energy-Momentum Relation
  4. Dirac Delta Function understood as a Stieltjes Integral
  5. As a distribution, Dirac Delta is a linear functional in a frame
  6. Dirac Delta functional Distribution Inequality
  7. Generalized Mathematical Form Describing Relationships
  8. Action Principle (Traditional)
  9. Action Principle (Intrinsic Action, e.g. ‘rest action’)
  10. Lagrangian
  11. Euler-Lagrange Concept
  12. ‘Virtual Gravity’ required for the tautochrone
  13. Experimentally ‘Leading Trajectories’ almost linear
  14. Leading Trajectories yield ‘daughter trajectories’
  15. Regge Theory Scattering Amplitude
  16. Regge Theory Crossed Channel Relation
  17. Square of the Energy in the Center of Mass Frame
  18. Meson / Baryon Angular Momentum
  19. Meson / Baryon Centripetal Force
  20. Universal Constant Strength Quark Binding Force
  21. Total Energy in a Quark System
  22. Total Angular Momentum in a Quark System
  23. Euler Beta Function (e.g. Euler Integral of the First Kind)
  24. Euler Gamma Function (e.g. Euler Integral of the Second Kind)
  25. Gamma Function Simple Pole Residue
  26. Riemann zeta function infinite series
  27. Dirichlet Series
  28. Energy Contained in an Unknot Dependent Only on Velocity
  29. Non-relativistic Transverse Velocity of an Unknot’s Energy
  30. Special Case Rest Energy Signature of a single MBP
  31. Generalized Volume of an “n-Ball”
  32. Generalized Surface Area of an “n-Sphere”
  33. Generalized Static Relationship of n-sphere boundary of n-ball
  34. Circumference of a ‘Rest’ Unknot
  35. Probability of Conditions Favorable to Schwarzchild Radius Formation
  36. Conditions Required for Black Hole Formation
  37. Generalized Gell-Mann-Nishijima Formula
  38. Newton’s First Law of Motion
  39. Newton’s Second Law of Motion
  40. Newton’s Third Law of Motion
  41. Jeans Instability
  42. Jeans Simple Physical Argument Gaseous Speed of Sound
  43. Jeans Simple Physical Argument Gravitational Collapse
  44. Jeans Condition for Gravitational Collapse
  45. Jeans Length
  46. Jeans Concepts
  47. Proton-Proton Chain for Lithium Burning
  48. Stellar Hydrostatic Equilibrium
  49. Stellar Mass Continuity
  50. Stellar Energy
  51. Stellar Energy Transport
  52. Stellar Radiative Energy Transport
  53. Stellar Convective Luminosity Energy Transport
  54. Stellar Outward Radiation Pressure
  55. Eddington Luminosity Limit
  56. Black Hole Entropy
  57. Black Hole Mass Constrains Charge & Angular Momentum
  58. The Lorentz Force Law
  59. Schwarzschild Radius
  60. Reissner-Nordström Metric
  61. Schwarzschild Metric in Schwarzchild Coordinates
  62. Stefan-Boltzmann-Schwarzchild-Hawking Power Law
  63. The Astronomical Unit (AU)
  64. Components of Proper Motion
  65. Vector Addition of Proper Motion Components
  66. Position Angle Theta of Proper Motion Components
  67. Leonard-Merritt Mass Estimator Distance
  68. Leonard-Merritt Mass Estimator In Cluster with Constant Mass
  69. Leonard-Merritt Mass Estimator with a Point Mass
  70. Event Horizon of the Particle Horizon
  71. The Universe
  72. The Sum of All Universes
  73. Angle of Curved Motion through Space
  74. Hubble Constant (Hubble Parameter) Classically Defined
  75. Time measured in the reference frame of the structure
  76. Relativistic Time Dilation
  77. Vectors in a Minkowski Frame
  78. Age of the Universe
  79. Probability of Force Delivering Elements to Earth
  80. Kepler’s First Law: Law of Ellipses
  81. Kepler’s Second Law: Law of Equal Areas
  82. Kepler’s Third Law: Law of Harmonics
  83. Power-law Distribution for 5 cm to 300 m Meteors striking Earth
  84. Earth’s Gravity “Potential” Field
  85. Phase Speed of Surface Waves (in water)
  86. Classic Momentum Rate of Change according to Newton’s 2nd Law
  87. Total Relativistic Energy of a System defined by Einstein
  88. Classical four-momentum proposed by Einstein
  89. Momentum in Electromagnetism
  90. Prandtl Number Defined
  91. Entanglement Function Density per Unit Area
  92. Werner Heisenberg’s Uncertainty Principle
  93. Uncertainty in Energy of a Spectral Linewidth
  94. Energy in a recoiling body
  95. Energy Density of Electric & Magnetic Fields
  96. Energy Density in Linear Substances
  97. Deposition of non-cohesive sediments
  98. Navier-Stokes Concepts (general)
  99. Athy’s Law of Compaction
  100. Exponential Compaction Law
  101. Energy Signature of a mass in Local Frame 1 is imaginary
  102. Energy Signature of interacting mass in an Event Frame
  103. Geodesic Energy Signature of mass
  104. Energy Signature of an Event
  105. Standard Gravitational Parameter (in Celestial Mechanics)
  106. Boltzmann Constant
  107. The zeroth law of thermodynamics
  108. The first law of thermodynamics
  109. Hamiltonian Concepts
  110. Hamiltonian Function
  111. Hamiltonian
  112. Hamiltonian for a Quantum Mechanical Harmonic Chain of N Atoms
  113. Concept 112 Fourier Transforms of x’s and p’s
  114. Phonon Quantization
  115. Commutation Relations of Concept 114
  116. Hamiltonian in terms of Concepts 113, 114 & 115
  117. Concept 116 Energy Levels Are Evenly Spaced
  118. Van der Waals Concept of State
  119. London Force
  120. Zero-point Energy (ground state of quantum harmonic oscillator)
  121. Casimir Force per unit Area
  122. Casimir Operator
  123. Graviton Field Energy
  124. The Proton Complex Reality Structure
  125. The Neutron Complex Reality Structure
  126. Bohr magneton (also called Bohr-Procopiu moment)
  127. Synchrotron Radiation
  128. Photoelectric Work Function
  129. Thermodynamic Electron Energy Gain
  130. Richardson-Dushman Emitted Electron Current Density
  131. Richardson’s Constant
  132. The Photon Complex Reality Structure
  133. Distributed Bragg Reflector reflectivity intensity approximation
  134. Distributed Bragg Reflector reflectivity intensity approximation
  135. Physics Unified
  136. Nernst Partition Law
  137. Capacitance
  138. Relative Permittivity
  139. Electric Susceptibility
  140. Polarization Density
  141. Electric Susceptibility of Space
  142. Electric Displacement
  143. Distribution Function (Normalized)
  144. Maxwell-Boltzmann Distribution Function
  145. Electrical Conductivity
  146. Electrical Resistivity
  147. Electrical Impedance
  148. Electrostatic Potential
  149. Volumetric Flow Rate
  150. Lightly Damped Linear Oscillator with Resonant Frequency
  151. Fourier’s Formula for 2π-periodic functions
  152. Angular Frequency
  153. Intrinsic Impedance through a homogeneous medium
  154. Net Power Radiated
  155. Magnetic Force due to B Magnetic Field and moment m
  156. Methods to Estimate Bulk Melting Point in Crystals
  157. Local Frame Lindemann Index
  158. Laplace Transform
  159. Compton Scattering
  160. Ramberg-Osgood Formula
  161. Radiance
  162. Viscosity
  163. Fluid Shear Stress
  164. Reynolds number
  165. Solving Newton’s Second Law of Motion for any ‘most basic particle’
  166. Mandelbrot Set
  167. Severance velocity relationship to wavelength & frequency
  168. Rapidity
  169. Composition Law for Velocities
  170. Law of Addition of Hyperbolic Tangents
  171. Concept 169 relationship to Concept 170
  172. Four-Vector with Relativistic Length
  173. Structure Moving with Four-Velocity
  174. Solving for the Relativistic Composition Law
  175. Relativistic Composition Law Fourth Dimensional Dilation
  176. Angular Velocity [Unitary] Vector
  177. Angular Velocity Vector
  178. Angular Velocity Tensor
  179. Emission index Severance velocity of a photon in Space
  180. Momentum in Relativistic Physics
  181. Einstein Field Concept in General Relativity
  182. Concept 293 integrating Concept 289 definition of mass
  183. Electromagnetic Field Tensor
  184. Dual Electromagnetic Field Tensor (aka Hodge Dual)
  185. Lorentz Transformation for frames in standard configuration
  186. Lorentz Transformation Tensor
  187. Lorentz Length Contraction
  188. Hamiltonian for Distinct, Rigorously Characterized Logical Systems
  189. Rydberg Concept for Hydrogen in a Local Frame
  190. Extneded Rydberg Concept for Hydrogen in a Local Frame
  191. Rydberg Constant
  192. Rydberg Unit of Energy
  193. Rydberg Constant Alternative Expressions
  194. Negative Angular Momentum Has No Physical Meaning
  195. Total angular momentum of J formed by vectorial addition
  196. Intensity of First Order Transitions
  197. Intensity of First Order Transitions for a Complex Atom
  198. Concept 197 for one-electron Atoms
  199. z component Eigenfunctions for the Integral ϕ of Concept 198
  200. Initial & Final Quantum States of Concept 198
  201. x and y component terms for the ϕ Integral of Concept 198
  202. Magnetic Vector Interaction Energy w/External Magnetic Field
  203. Total Atomic Magnetic Moment due to spin and rotation
  204. Lande g-factor
  205. LS Coupling Sum Over All Electrons in an Atom
  206. Magnetic Moment of a Rotating Charge
  207. Ratio of differential loss of radiation due to an absorbing species
  208. Beer’s Law
  209. Action (e.g. ‘time’) Averaged Spin and Orbital Vectors
  210. Beer’s Law (Concept 208) integrated over the entire band
  211. External Electrostatic Energy of Interaction
  212. Taylor Expansion of Uniform Electric Field over a Charge Distribution
  213. Baseline Energy of Interaction at the Basis Point
  214. Baseline Energy of Summed Interaction at the Basis Point
  215. H2S symmetry plane product operation
  216. Transformation Matrix
  217. Counting Irreducible Representations within Reducible Representation
  218. Reducible Representation of Motions a Gaseous Molecule
  219. No & Types of Irreducible Trans, Rot, & Vib Motions
  220. Equivalent Atom a replacing Atom b in a Symmetry Operation
  221. Example Complex Discontinuous Geometric Map Nomenclature
  222. Planck’s Law
  223. Compton wavelength
  224. Compton Frequency
  225. Aharonov-Bohm effect
  226. Aharonov-Casher effect
  227. Aharonov-Bohm Invariant w/respect to Magnetic Vector Potential
  228. Aharonov-Bohm Phase Difference
  229. Planck’s Constant
  230. Reduced Planck’s Constant
  231. Schrödinger wave-function for an un-preturbed system
  232. Schrödinger Wave-function Energy
  233. Schrödinger Energy Time-Dependent Operator Equivalence
  234. Schrödinger wave-function for an Perturbed system
  235. Schrödinger Concept for Single Particle in a potential
  236. Two-Body Simplified Schrödinger Concept
  237. Klein-Gordon Spin-0 Description
  238. Dirac Concept
  239. Rarita-Schwinger Concept
  240. Levi-Civita symbol
  241. Quantum Defect in Lasers
  242. Hydrogen Atom Electron Binding Energy
  243. Hydrogen Atom Electron Binding Energy as an Angular Momentum Dependent Quantum Defect
  244. Linear Diffusion Concept
  245. Integral Basis of Free Z-module
  246. Perturbation Theory
  247. Example differential Concept leading to first order perturbation
  248. Assumptions in Concept 247 leading to first order perturbation
  249. Example set of solutions for Thought Experiment 0033
  250. Kronecker delta
  251. Topological Group Nomenclature
  252. SU(n) Fundamental Representation
  253. Pauli Matrices
  254. SU(3) Generators in defining representation
  255. Gell-Mann Matrices
  256. Gell-Mann Matrices Relations Rules
  257. Matrix A times Eigenvector v equals Eigenvector v times its Eigenvalue
  258. SU(n) Algebra Commutator Relationship
  259. SU(n) infinitesimal generators are traceless Hermitian matrices
  260. Trace of an n by n square matrix
  261. Imaginary Unit
  262. Powers of i repeat in a cycle
  263. Higher Integral Powers of i
  264. Congruent Modulo
  265. Reality Structure on a ‘logically correct’ Complex Vector Frame V
  266. Reality Structure in a ‘physically correct’ Complex Event Frame V
  267. Standard Reality Structure Decomposition Nomenclature
  268. Reality Structure
  269. Quaternion Multiplication
  270. Generalized Stokes’ Theorem
  271. Classical Stokes’ Theorem
  272. Average Crossing Number of a Knot
  273. Rope Length of Knot Curve C
  274. Fary-Milnor Theorem
  275. Fary-Milnor Theorem for knotted curves is length
  276. Example Transmutation Chain
  277. Formula for Determining the Age of Rocks
  278. Bragg’s Law
  279. de Broglie Concepts Phase Velocity
  280. P-wave velocity in a homogeneous isotropic medium
  281. P-wave modulus
  282. Mohr-Coulomb Failure Criteria (Linear)
  283. Mohr-Coulomb Failure Criteria (3-Dimensional)
  284. Mohr-Coulomb Yield and Plasticity
  285. Magnetic Dipole Moment
  286. Fourier’s Law for Heat Conduction
  287. Soloviev Tsunami Intensity
  288. Overburden Pressure (Lithostatic Pressure)
  289. Mass
  290. The Fundamental Entanglement Function
  291. The Beta Function
  292. Frangibility of Mass
  293. Rest Energy Mass Equivalence
  294. Einstein Energy-mass ‘m’ equivalence E=mc2
  295. Rest Energy – Rest mass ‘m’ equivalence
  296. Energy – Rest mass ‘m’ equivalence
  297. Popular Terminology defining “proper mass”
  298. Relativistic Energy-Momentum Concept
  299. Relativistic Momentum in a Severed Frame
  300. Momentum and kinetic energy case where v is less than c
  301. Relativistic Momentum Force
  302. Relativistic Momentum Invariant
  303. Relativistic Acceleration
  304. Acceleration
  305. Transverse Mass
  306. Longitudinal Mass
  307. Original 1905 Einstein Mass Energy Relation
  308. Einstein’s Photon in Cylinder Mass Displacement
  309. Large Gravitational Force Acting on a Light Body v=Bc
  310. Large Gravitational Force Acting on a Light Body (Reduced Concept)
  311. Enthalpy of a system
  312. Debye Length in a Plasma
  313. Superfluid Local Conservation Law
  314. Energy Density of a Superfluid
  315. Superfluid velocity and momentum density are parallel
  316. Useful Superfluid Thermodynamic Identity for partial derivatives of j0
  317. Superfluid Energy derived from Concept 314 a & b
  318. 1st Variation of total Energy Density of a uniform Superfluid
  319. 2nd Variation of Quadratic Form is a Jacobian Matrix Superfluid
  320. First Positivity Thermodynamic Condition in a Superfluid
  321. Second Positivity Thermodynamic Condition in a Superfluid
  322. Using Concept 316 Thermodynamic Inequalities of a Superfluid Result in Concept 322 a & b
  323. Generalized non-zero inter-component velocity w requirement
  324. Superfluid Positive Compressibility Requirement
  325. Bose-Einstein Condensate Critical Temperature
  326. Boltzmann Probability for BEC Indistinguishable Case
  327. Normalization constant C for large N numbers of BEC particles
  328. Transition Temperature for maximum number of BEC excited particles
  329. Centripetal Force
  330. Probability of a System in Unperturbed k State in Unity
  331. Concept 330 terms canceled re: Concept 233
  332. Unity According to the Orthogonality Theorem
  333. Substituting m for k in Concept 332 we arrive at Normalized Derivative in Concept 333
  334. Assuming Probability of Ground State Coefficient then Concept 333 becomes 334
  335. Concept 231 Expressed as Product of Time Dependencies
  336. Perturbing Hamiltonian for the Interaction of a Radiation Field
  337. Transition Moment Integral or Matrix
  338. Electromagnetic Energy of ‘x direction’ vector at frequency and time
  339. Concept 231 Expressed as Product of Time Dependencies
  340. Concept 339 Integrated to Time Index
  341. Bohr Condition for Emission from State m to State k
  342. Bohr Condition for Absorption from State k to State m
  343. Concept 340 complex conjugate
  344. Concept 343 Simplified
  345. Concept 344 Simplified Further
  346. E0x(ω) Constant Near Bohr Condition
  347. Transition Probability Directly Proportional to Radiation Field Density
  348. Einstein Proportionality Constant for Induced Absorption
  349. Einstein Absorption Coefficient
  350. Einstein 3-Dimensional General Absorption Coefficient
  351. Rate Molecules (or atoms) Are Pumped into Level m via absorption
  352. Rate Molecules (or atoms) Are Pumped into Level k via absorption
  353. Thermodynamic Equilibrium Rates for Quantum States k & m
  354. Ratio of Nm to Nk
  355. Boltzmann Relation for two nondegenerate states
  356. Radiation Intensity, erg/cm2
  357. Radiation Intensity relation to Planck’s Radiation Law
  358. Einstein Coefficient for Spontaneous Emission rel: to Planck’s Law
  359. First-order Decay Constant Demonstrating Spontaneous Severance
  360. Spontaneous Radiative Lifetime of Excited State
  361. Einstein Coefficients for Absorption & Emission (Ex of: Severance)
  362. Electric Quadrupole Moment Q
  363. Concept 361 Dynamic & Complex Fields (Ex of: Complex Severance)
  364. Calculating the f(x) component (Obsolete Concept?)
  365. Calculating the dy component (see Concept 289 d)
  366. Speed of Entanglement Probability
  367. Newton’s Law of Universal Gravitation
  368. Mass of the structural component responsible for gravitation
  369. Gravitational Constant G
  370. Gauge Invariant QCD Lagrangian
  371. Weak Isospin relationship to Electric Charge
  372. Long Distance Behavior of the Weak Nuclear Force
  373. Electromagnetic Electric Field Vector
  374. Electromagnetic Magnetic Field Vector
  375. Instantaneous Energy Density of Electromagnetic Radiation
  376. Electromagnetic Field Vectors in esu / emu (common terms)
  377. Isotropic Instantaneous Electromagnetic Energy
  378. Electromagnetic Energy Density for a Specific Frequency
  379. Relation between electricity, magnetism, speed of light (Severance)
  380. Maximum Kinetic Energy of an Ejected Electron
  381. Law of Reflection
  382. Dipole Moment Relationship to Dielectric Constant & Refractive Index
  383. Law of Refraction
  384. AC Current Density Skin Effect
  385. AC Current Skin Depth
  386. Energy of a quantized non-rotating simple harmonic oscillator
  387. Nonquantized Vibrational Frequency in Wave number Units
  388. Coulomb’s Law expressed in its scalar form
  389. Coulomb’s Force Constant
  390. Coulomb Barrier
  391. Elementary Charge
  392. Maxwell’s Electromagnetic Wave Concept
  393. Electromagnetic Radiation Pressure Exerted
  394. The Electric Constant (vacuum permittivity)
  395. Electric Displacement Field (D)
  396. Electric Dipole Moment
  397. Fine Structure Coupling Constant
  398. Faraday’s Law of Induction
  399. The Magnetic Constant (vacuum permeability)
  400. Gauss’s Law
  401. Gauss’s Law of Magnetism
  402. Time 2nd Derivative of Entanglement
  403. Bell’s Theorem
  404. The Second Law of Thermodynamics
  405. The Third Law of Thermodynamics


*** End Emergence Model Sieve 01 Concept List ***

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