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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