Skip to main content

Florentin Smarandache

Followers

216

Following

6

Co-authors

6

Public Views

Florentin SMARANDACHE is a professor of mathematics at the University of New Mexico, USA.He got his M. Sc. in Mathematics and Computer Science from the University of Craiova, Romania, Ph. D in Mathematics from the State University of Kishinev, and Post-Doctoral in Applied Mathematics from Okayama University of Sciences, Japan. He is the founder of neutrosophic set, logic, probability and statistics since 1995 and has published hundreds of papers on neutrosophic physics, superluminal and instantaneous physics, unmatter, absolute theory of relativity, redshift and blueshift due to the medium gradient and refraction index besides the Doppler effect, paradoxism, outerart, neutrosophy as a new branch of philosophy, Law of Included Multiple-Middle, degree of dependence and independence between the neutrosophic components, refined neutrosophic over-under-off-set, neutrosophic overset, neutrosophic triplet and duplet structures, DSmT and so on to many peer-reviewed international journals and many books and he presented papers and plenary lectures to many international conferences around the world.

less

Interests

Uploads

Papers by Florentin Smarandache

An outline of cellular automaton universe via cosmological KdV equation

by Victor Christianto, Florentin Smarandache, and Florentin Smarandache

It has been known for long time that the cosmic sound wave was there since the early epoch of the... more It has been known for long time that the cosmic sound wave was there since the early epoch of the Universe. Signatures of its existence are abound. However, such a sound wave model of cosmology is rarely developed fully into a complete framework. This paper can be considered as our second attempt towards such a complete description of the Universe based on soliton wave solution of cosmological KdV equation. Then we advance further this KdV equation by virtue of Cellular Automaton method to solve the PDEs. We submit wholeheartedly Robert Kuruczs hypothesis that Big Bang should be replaced with a finite cellular automaton universe with no expansion [4][5]. Nonetheless, we are fully aware that our model is far from being complete, but it appears the proposed cellular automaton model of the Universe is very close in spirit to what Konrad Zuse envisaged long time ago. It is our hope that the new proposed method can be verified with observation data. But we admit that our model is still in its infancy, more researches are needed to fill all the missing details.

The Twelve Commandments: An extension of Szilard's Ten Commandments

by Victor Christianto and Florentin Smarandache

In their pursuit of new theories, physicists often need a guideline like a lamp shedding light on... more In their pursuit of new theories, physicists often need a guideline like a lamp shedding light on their way. Such a guideline has been proposed by renowned Hungarian physicist Szilard, called " Szilard's 10 commandments. " Here we add two more additional commandments, in the light of new critics to string theory and its variations like superstring and M-theory.

Modeling Virus as Elastic Sphere in Newtonian Fluid based on 3D Navier-Stokes Equations

by Victor Christianto and Florentin Smarandache

Although virus is widely known to significantly affect many biological form of life, its physical... more Although virus is widely known to significantly affect many biological form of life, its physical model is quite rare. In this regard, experiments on the acoustic vibrations of elastic nanostructures in fluid media have been used to study the mechanical properties of materials, as well as for mechanical and biological sensing. The medium surrounding the nanostructure is typically modeled as a Newtonian fluid. In this paper, we present a mathematical model of virus as an elastic sphere in a Newtonian fluid, i.e. via 3D Navier-Stokes equations. We also obtain a numerical solution by the help of Mathematica 11.

How a synthesizer works

by Victor Christianto and Florentin Smarandache

In their classic book, The art of thinking, Robert Bramson and Allen Harrison describe five think... more In their classic book, The art of thinking, Robert Bramson and Allen Harrison describe five thinking styles that one tends to adopt: pragmatist, analyst, realist, synthesist, and idealist. In this paper, we tell our story on thinking modes we often use, and sometimes we took a synthesizer mode, i.e. to combine three or four of the above thinking styles. We present some examples too. We hope this retelling may be useful for young scientists and mathematicians in developing new theories either in theoretical physics and cosmology.

Redshift in Lattice-Cellular Models of the Universe: Lindquist-Wheeler and beyond

by Victor Christianto and Florentin Smarandache

Many physicists and philosophers alike have debated a long standing puzzle: whether the space is ... more Many physicists and philosophers alike have debated a long standing puzzle: whether the space is continuous or discrete. It has been known for long time that most of the existing cosmology models rely on pseudo-Riemannian metric as the cornerstone of Einsteinian universe. But the metric itself is based on continuum model. It is known that such models have led us to too many (monster) problems, including dark matter and dark energy etc. Now what if the universe is discrete? Then perhaps we can solve these problems naturally. Despite majority of cosmologists rely on such a Standard Model which is called Lambda CDM theory, we will explore here the redshift theory based on a few of lattice-cellular models, including Lindquist-Wheeler theory and beyond it. We will also touch briefly some peculiar models such as Voronoi tesellattice and also Conrad Ranzan's cellular model. It is our hope that the new proposed method can be verified with observation data.

Solving Numerically Ermakov-type Equation for Newtonian Cosmology Model with Vortex

by Victor Christianto and Florentin Smarandache

It has been known for long time that most of the existing cosmology models have singularity probl... more It has been known for long time that most of the existing cosmology models have singularity problem. Cosmological singularity has been a consequence of excessive symmetry of flow, such as " Hubble's law ". More realistic one is suggested, based on Newtonian cosmology model but here we include the vertical-rotational effect of the whole Universe. We review a Riccati-type equation obtained by Nurgaliev, and solve the equation numerically with Mathematica. It is our hope that the new proposed method can be verified with observation data.

It's Déjà Vu All Over Again: A Classical Interpretation of Syntropy and Precognitive Interdiction Based on Wheeler-Feynman's Absorber Theory

by Victor Christianto and Florentin Smarandache

It has been known for long time that intuition plays significant role in many professions and hum... more It has been known for long time that intuition plays significant role in many professions and human life, including in entrepreneurship, government, and also in detective or law enforcement activities. Even women are known to possess better intuitive feelings or " hunch " compared to men. Despite these examples, such a precognitive interdiction is hardly accepted in established science. In this paper, we discuss briefly the advanced solutions of Maxwell equations, and then make connection between syntropy and precognition from classical perspective. It is our hope that the new proposed method can be verified with experimental data. But we admit that our model is still in its infancy, more researches are needed to fill all the missing details.

A Review of Five Approaches of Quantum Potential Including Madelung Hydrodynamics Formulation

by Victor Christianto and Florentin Smarandache

It has been long known that a year after Schrodinger published his equation, Madelung also publis... more It has been long known that a year after Schrodinger published his equation, Madelung also published a hydrodynamics version of Schrodinger equation. But it is often misinterpreted by many contemporary physicists, especially after the famous Bohmian quantum potential. In this paper we will review quantum potential by five different approaches, including Madelung hydrodynamics, complex Madelung, and also Navier-Stokes hydrodynamics approach. In the last section we will also discuss a new expression of quantum potential based on complex Riccati equation. It is our hope that these methods can be verified and compared with experimental data. But we admit that more researches are needed to fill all the missing details.

Note: This paper is prepared as contribution for a book project: "Old problems, New horizons in World Physics."

About Bernoulli's Numbers

In this article we present a simple proof of Borevich-Shafarevich's method to compute the sum of ... more

About Very Perfect Numbers

A Class of DSm Conditioning Rules - with definitions

Inequalities for Integer and Fractional Parts

Immediate Calculation of Some Poisson Type Integrals Using Supermathematics Circular Ex-Centric Functions

This article presents two methods, in parallel, of solving more complex integrals, among which is... more

Cardinal Functions and Integral Functions

A Generalization of a Leibniz Geometrical Theorem

A Class of DSm Conditioning Rules

Degree of Uncertainty of a Set and of a Mass

About Bernoulli's Numbers

A Class of DSm Conditional Rules

Corr, Aug 1, 2009

In this paper we introduce two new DSm fusion conditioning rules with example, and as a generaliz... more

A Class of DSm Conditioning Rules 1

An outline of cellular automaton universe via cosmological KdV equation

by Victor Christianto, Florentin Smarandache, and Florentin Smarandache

It has been known for long time that the cosmic sound wave was there since the early epoch of the... more It has been known for long time that the cosmic sound wave was there since the early epoch of the Universe. Signatures of its existence are abound. However, such a sound wave model of cosmology is rarely developed fully into a complete framework. This paper can be considered as our second attempt towards such a complete description of the Universe based on soliton wave solution of cosmological KdV equation. Then we advance further this KdV equation by virtue of Cellular Automaton method to solve the PDEs. We submit wholeheartedly Robert Kuruczs hypothesis that Big Bang should be replaced with a finite cellular automaton universe with no expansion [4][5]. Nonetheless, we are fully aware that our model is far from being complete, but it appears the proposed cellular automaton model of the Universe is very close in spirit to what Konrad Zuse envisaged long time ago. It is our hope that the new proposed method can be verified with observation data. But we admit that our model is still in its infancy, more researches are needed to fill all the missing details.

The Twelve Commandments: An extension of Szilard's Ten Commandments

by Victor Christianto and Florentin Smarandache

In their pursuit of new theories, physicists often need a guideline like a lamp shedding light on... more In their pursuit of new theories, physicists often need a guideline like a lamp shedding light on their way. Such a guideline has been proposed by renowned Hungarian physicist Szilard, called " Szilard's 10 commandments. " Here we add two more additional commandments, in the light of new critics to string theory and its variations like superstring and M-theory.

Modeling Virus as Elastic Sphere in Newtonian Fluid based on 3D Navier-Stokes Equations

by Victor Christianto and Florentin Smarandache

Although virus is widely known to significantly affect many biological form of life, its physical... more Although virus is widely known to significantly affect many biological form of life, its physical model is quite rare. In this regard, experiments on the acoustic vibrations of elastic nanostructures in fluid media have been used to study the mechanical properties of materials, as well as for mechanical and biological sensing. The medium surrounding the nanostructure is typically modeled as a Newtonian fluid. In this paper, we present a mathematical model of virus as an elastic sphere in a Newtonian fluid, i.e. via 3D Navier-Stokes equations. We also obtain a numerical solution by the help of Mathematica 11.

How a synthesizer works

by Victor Christianto and Florentin Smarandache

In their classic book, The art of thinking, Robert Bramson and Allen Harrison describe five think... more In their classic book, The art of thinking, Robert Bramson and Allen Harrison describe five thinking styles that one tends to adopt: pragmatist, analyst, realist, synthesist, and idealist. In this paper, we tell our story on thinking modes we often use, and sometimes we took a synthesizer mode, i.e. to combine three or four of the above thinking styles. We present some examples too. We hope this retelling may be useful for young scientists and mathematicians in developing new theories either in theoretical physics and cosmology.

Redshift in Lattice-Cellular Models of the Universe: Lindquist-Wheeler and beyond

by Victor Christianto and Florentin Smarandache

Many physicists and philosophers alike have debated a long standing puzzle: whether the space is ... more Many physicists and philosophers alike have debated a long standing puzzle: whether the space is continuous or discrete. It has been known for long time that most of the existing cosmology models rely on pseudo-Riemannian metric as the cornerstone of Einsteinian universe. But the metric itself is based on continuum model. It is known that such models have led us to too many (monster) problems, including dark matter and dark energy etc. Now what if the universe is discrete? Then perhaps we can solve these problems naturally. Despite majority of cosmologists rely on such a Standard Model which is called Lambda CDM theory, we will explore here the redshift theory based on a few of lattice-cellular models, including Lindquist-Wheeler theory and beyond it. We will also touch briefly some peculiar models such as Voronoi tesellattice and also Conrad Ranzan's cellular model. It is our hope that the new proposed method can be verified with observation data.

Solving Numerically Ermakov-type Equation for Newtonian Cosmology Model with Vortex

by Victor Christianto and Florentin Smarandache

It has been known for long time that most of the existing cosmology models have singularity probl... more It has been known for long time that most of the existing cosmology models have singularity problem. Cosmological singularity has been a consequence of excessive symmetry of flow, such as " Hubble's law ". More realistic one is suggested, based on Newtonian cosmology model but here we include the vertical-rotational effect of the whole Universe. We review a Riccati-type equation obtained by Nurgaliev, and solve the equation numerically with Mathematica. It is our hope that the new proposed method can be verified with observation data.

It's Déjà Vu All Over Again: A Classical Interpretation of Syntropy and Precognitive Interdiction Based on Wheeler-Feynman's Absorber Theory

by Victor Christianto and Florentin Smarandache

It has been known for long time that intuition plays significant role in many professions and hum... more It has been known for long time that intuition plays significant role in many professions and human life, including in entrepreneurship, government, and also in detective or law enforcement activities. Even women are known to possess better intuitive feelings or " hunch " compared to men. Despite these examples, such a precognitive interdiction is hardly accepted in established science. In this paper, we discuss briefly the advanced solutions of Maxwell equations, and then make connection between syntropy and precognition from classical perspective. It is our hope that the new proposed method can be verified with experimental data. But we admit that our model is still in its infancy, more researches are needed to fill all the missing details.

A Review of Five Approaches of Quantum Potential Including Madelung Hydrodynamics Formulation

by Victor Christianto and Florentin Smarandache

It has been long known that a year after Schrodinger published his equation, Madelung also publis... more It has been long known that a year after Schrodinger published his equation, Madelung also published a hydrodynamics version of Schrodinger equation. But it is often misinterpreted by many contemporary physicists, especially after the famous Bohmian quantum potential. In this paper we will review quantum potential by five different approaches, including Madelung hydrodynamics, complex Madelung, and also Navier-Stokes hydrodynamics approach. In the last section we will also discuss a new expression of quantum potential based on complex Riccati equation. It is our hope that these methods can be verified and compared with experimental data. But we admit that more researches are needed to fill all the missing details.

Note: This paper is prepared as contribution for a book project: "Old problems, New horizons in World Physics."

About Bernoulli's Numbers

In this article we present a simple proof of Borevich-Shafarevich's method to compute the sum of ... more

About Very Perfect Numbers

A Class of DSm Conditioning Rules - with definitions

Inequalities for Integer and Fractional Parts

Immediate Calculation of Some Poisson Type Integrals Using Supermathematics Circular Ex-Centric Functions

This article presents two methods, in parallel, of solving more complex integrals, among which is... more

Cardinal Functions and Integral Functions

A Generalization of a Leibniz Geometrical Theorem

A Class of DSm Conditioning Rules

Degree of Uncertainty of a Set and of a Mass

About Bernoulli's Numbers

A Class of DSm Conditional Rules

Corr, Aug 1, 2009

In this paper we introduce two new DSm fusion conditioning rules with example, and as a generaliz... more

A Class of DSm Conditioning Rules 1

An Outline of Cellular Automaton Universe via Cosmological KdV equation

by Victor Christianto and Florentin Smarandache

This file has been presented in Conference on Theoretical Physics and Nonlinear Phenomena 2017 (C... more This file has been presented in Conference on Theoretical Physics and Nonlinear Phenomena 2017 (CTPNP), in Catholic University of Parahiyangan, Bandung, 1 aug 2017. We discuss a novel approach for cosmology modelling based on cellular automata. It seems that there are similar researchers working on this direction recently, see for instance Conrad Ranzan, http://www.cellularuniverse.org