Fredrick Zia Michael

Agathos Scientific and Education

PI

607 Durbin Lane SW

Madison, AL 35756

United States

NASA

Marshall Space Flight Center

Huntsville , AL 35812

United States

Government of the United States of America - National Aeronautics and Space Administration (NASA)

SCHOLARLY PAPERS

29

DOWNLOADS
Rank 45,130

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Top 45,130

in Total Papers Downloads

1,457

SSRN CITATIONS

0

CROSSREF CITATIONS

1

Scholarly Papers (29)

1.

Notes on Prime Numbers, Their Numerical Statistics & Patterns I: Modular Arithmetic and the Eight Fold Period 24 Model

Number of pages: 25 Posted: 22 Dec 2015 Last Revised: 18 Jan 2016
Fredrick Zia Michael and Fredrick Zia Michael
Agathos Scientific and EducationNASA
Downloads 189 (220,123)

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prime numbers, twin primes, cousin primes, nearest neighbor, integer numbers, number theory, numerical, statistical distributions, random matrix theory, nonextensive, nonextensive random matrix theory

2.

Generalized Stochastic Lotka-Volterra Equations

Number of pages: 7 Posted: 28 Oct 2011 Last Revised: 07 Dec 2011
Fredrick Zia Michael and Fredrick Zia Michael
Agathos Scientific and EducationNASA
Downloads 140 (282,337)

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Lotka, Volterra, bistable, fluctuations, colored noise, nonlinear, power-law, q-entropy

3.

Towards a Navier Stokes Exact Solution

Number of pages: 6 Posted: 25 Dec 2012
Fredrick Zia Michael and Fredrick Zia Michael
Agathos Scientific and EducationNASA
Downloads 134 (292,028)

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Hydrodynamics, nonlinear, Partial differential equations, stochastic differential equations, PDE, SDE, mass balance, energy balance , momentum balance, continuity equation, fluid flow, Navier, Stokes

4.

Entropy Primes and Integer Composites: The 2nd Quantization Approach

Number of pages: 11 Posted: 15 Sep 2014
Fredrick Zia Michael and Fredrick Zia Michael
Agathos Scientific and EducationNASA
Downloads 89 (386,037)

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prime numbers, composite numbers, prime entropy, occupation number formalism, second quantization

5.

Riemann Hypothesis & Zeta Function Integral Representation Integrability & Normalization Convergence Correspondences...A Happy Coincidence or a Deeper Connection

Number of pages: 4 Posted: 01 Feb 2016
Fredrick Zia Michael and Fredrick Zia Michael
Agathos Scientific and EducationNASA
Downloads 84 (399,789)

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riemann, reimann, zeta, function, hurwitz, prime number, nontrivial, zeros , complex, nonextensive, tsallis, statistics

6.

Cognitive Neural Network Models of the Brain and the Interaction with Natural Human Surroundings

Number of pages: 12 Posted: 22 Aug 2011
Fredrick Zia Michael and Fredrick Zia Michael
Agathos Scientific and EducationNASA
Downloads 74 (429,860)

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neurons, neural, cognition. cognitive, model, brain, memory, consciousness, power spectrum, Wiener model, capacitance model

7.

A Possible Solution for the Boltzmann Equation

Number of pages: 6 Posted: 26 Oct 2011 Last Revised: 07 Dec 2011
Fredrick Zia Michael and Fredrick Zia Michael
Agathos Scientific and EducationNASA
Downloads 72 (436,282)

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8.

Soliton Equations and Higher Order Nonlinear Partial Differential Equations

Number of pages: 4 Posted: 19 Oct 2011
Fredrick Zia Michael and Fredrick Zia Michael
Agathos Scientific and EducationNASA
Downloads 62 (471,107)

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9.

Notes on Prime Numbers, Their Numerical Statistics & Patterns II: Modular Arithmetic and the Symmetric Triangular Embedding Model

Number of pages: 7 Posted: 18 Jan 2016
Fredrick Zia Michael and Fredrick Zia Michael
Agathos Scientific and EducationNASA
Downloads 59 (482,547)

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primes, prime numbers, number theory, integers, composites, composite numbers, factors, divisors, sieves, statistics of primes, modular arithmetic, mod, modulus

10.

Quantifying Impact of Natural Disasters Such as a Hurricane on a Society

Number of pages: 8 Posted: 22 Aug 2011
Fredrick Zia Michael and Fredrick Zia Michael
Agathos Scientific and EducationNASA
Downloads 58 (486,458)

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disasters, hurricanes, impact , society, economics, psychology, populations, quantification

11.

Debt Risk and Pricing of Risk

Number of pages: 15 Posted: 02 Nov 2014
Fredrick Zia Michael and Fredrick Zia Michael
Agathos Scientific and EducationNASA
Downloads 42 (556,865)

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risk, pricing, finance, economics, loans, debt, collateralized debt obligations, credit default swaps, default, copula, gaussia, student t, gamma, nonextensive, power law

12.

Epidemiology Interacting Many-Body Models

Number of pages: 24 Posted: 26 Jul 2013
Fredrick Zia Michael and Fredrick Zia Michael
Agathos Scientific and EducationNASA
Downloads 41 (561,986)
Citation 1

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epidemiology, epidemics, malaria, predator, prey, lotka, volterra, simulation, modeling, model, interacting, many, body, physics, critical, phase, transition, logistics, stochastic, probability, nonlinear, nonlinear partial differential equations

13.

Particle Mass from Planck-Scale Fluctuations

Number of pages: 7 Posted: 17 Oct 2011 Last Revised: 02 Jun 2013
Fredrick Zia Michael and Fredrick Zia Michael
Agathos Scientific and EducationNASA
Downloads 39 (572,140)

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worm holes, particle spectrum, curved, space, time, space-time, curvature, gravitation, stochastic gravity, quantum gravity, relativistic, thermodynamics, planck scale, geon, geometrodinamics, geometrodynamics, negf, nonequilibrium, green's functions, black hole

14.

Photon and Matter Interaction

Number of pages: 10 Posted: 23 Oct 2011
Fredrick Zia Michael and Fredrick Zia Michael
Agathos Scientific and EducationNASA
Downloads 36 (588,195)

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photon, wave equation, matter, perturbation, NEGF, non equilibrium, Green's function, optoelectronic, Schroedinger, Feynman

15.

The Nonlinearity of a Quantum Gravity Derivation

Number of pages: 6 Posted: 27 Mar 2012
Fredrick Zia Michael and Fredrick Zia Michael
Agathos Scientific and EducationNASA
Downloads 35 (593,830)

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gravity, curved, curvature, spacetime, space, time, quantization, black hole, worm hole, particle mass, planck scale, planck fluctuations

16.

A Dynamic Prime Lending Rate and Growth Rate Theory of Economy

Number of pages: 8 Posted: 23 Mar 2012
Fredrick Zia Michael and Fredrick Zia Michael
Agathos Scientific and EducationNASA
Downloads 35 (593,830)

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economics, economy, statistics, forecasting, fed, prime lending rate, simulation

17.

Spin Dependent Transport in Ferro-Magnetic Heterostructures: An Application of Non-Equilibrium Green's Functions

Number of pages: 8 Posted: 23 Oct 2011
Fredrick Zia Michael, Fredrick Zia Michael and M. D. Johnson
Agathos Scientific and EducationNASA and University of Central Florida
Downloads 29 (629,624)

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spin, magnetic, device, ferr magnet, magneto resistance, current voltage, spin transport, NEGF, non equilibrium , Green's function

18.

Exact Solutions of the Multi Variable Allele Frequency Equations Problems in Population Genetics

Number of pages: 22 Posted: 25 Apr 2014
Fredrick Zia Michael and Fredrick Zia Michael
Agathos Scientific and EducationNASA
Downloads 28 (636,172)

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19.

Towards a Zeta Function Derived from Quantized Discrete States

Number of pages: 6 Posted: 10 Oct 2014
Fredrick Zia Michael and Fredrick Zia Michael
Agathos Scientific and EducationNASA
Downloads 26 (649,801)

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zeta function, partition function, tsallis statistics, nonextensive, superstatistics, occupation number formalism, seond quantization, prime numbers, composite numbers

20.

Lunar & Mars Habitat Construction the Simple Cost Effective and Inexpensive Way

Number of pages: 8 Posted: 04 Sep 2021
Fredrick Zia Michael and Fredrick Zia Michael
Agathos Scientific and EducationNASA
Downloads 24 (663,904)

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21.

Notes on the Nonextensive-Entropy Derived Evolution and Fundamental Metric Tensors in the Continuum Mechanics of Media and of Special and General Relativity

Number of pages: 84 Posted: 10 May 2018
Fredrick Zia Michael and Fredrick Zia Michael
Agathos Scientific and EducationNASA
Downloads 24 (663,904)

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Metric Tensor, Diffusion Tensor, Nonextensive Statistics, Topology, Deformation, Special Relativity, General Relativity, Cosmological Constant, Stress-Energy Tensor, Stress, Strain, Einstein’s Field Equation, Ricci Curvature, Scalar Curvature, Tsallis Statistics, SDE Stochastic, PDE, Covariant

22.

Accelerating Network Statistical Dynamics

Number of pages: 19 Posted: 16 Jan 2014
Fredrick Zia Michael and Fredrick Zia Michael
Agathos Scientific and EducationNASA
Downloads 24 (663,904)

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23.

Interacting Traffic Model. An Application of Physical Social Models

Number of pages: 9 Posted: 28 Aug 2011
Fredrick Zia Michael and Fredrick Zia Michael
Agathos Scientific and EducationNASA
Downloads 23 (671,234)

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24.

Techniques and Applications of Quantum and Classical Statistical Mechanics

Michael, Frederick N., 'Techniques and applications of quantum and classical statistical mechanics' (2002). University of Central Florida Digitized Thesis Library, Retrospective Theses and Dissertations. 1612.
Number of pages: 99 Posted: 23 Feb 2018
Fredrick Zia Michael and Fredrick Zia Michael
Agathos Scientific and EducationNASA
Downloads 20 (693,851)

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condensed matter, theory, self energy, coupling, non equilibrium, statistics, statistical mechanics, quantum, classical, non extensive, nonextensive, multi layer, spintronics, NEGF non equilibrium Green's functions, ballistic transport, heterostructures, financial markets, stochastic, Ito, partial

25.

General Relativity and Maximum Entropy Method

Number of pages: 13 Posted: 16 Nov 2020
Fredrick Zia Michael and Fredrick Zia Michael
Agathos Scientific and EducationNASA
Downloads 16 (725,712)

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Thermodynamics, thermo statistics, maximum entropy method, entropy, statistics, stochastics, relativity, general relativity, scalar curvature, Ricci tensor, Riemann tensor, metric determinant

26.

Genetic Information Coding and Replication Error Descriptive and Instantaneous Corrective Description

Number of pages: 12 Posted: 02 Nov 2011 Last Revised: 23 Nov 2011
Fredrick Zia Michael and Fredrick Zia Michael
Agathos Scientific and EducationNASA
Downloads 16 (725,712)

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genes, gcta, genetics, encoding, coding, genome, information, nonextensive , statistics, time series, power law distribution

27.

The Nonextensive Thermodynamics of Q-Deformed Spacetime in General Relativity

Number of pages: 10 Posted: 28 Dec 2018
Fredrick Zia Michael and Fredrick Zia Michael
Agathos Scientific and EducationNASA
Downloads 14 (742,879)

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thermodynamics, entropy, nonextensive, tsallis, deformation, spacetime, general relativity, black hole, curvature, strain energy tensor

28.

Interacting Many-Particle Extensive Quantum Mechanics

Number of pages: 3 Posted: 23 Oct 2011
Fredrick Zia Michael and Fredrick Zia Michael
Agathos Scientific and EducationNASA
Downloads 14 (742,879)

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29.

Nonextensive Entropy and Geometry in General Relativity

Number of pages: 7 Posted: 16 Nov 2020
Fredrick Zia Michael and Fredrick Zia Michael
Agathos Scientific and EducationNASA
Downloads 10 (779,180)

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Friedman Robertson Walker, Non-Extensive, Entropy, Tsallis, Fokker-Planck, Metric