... Chief Editor Dmitri Rabounski rabounski@yahoo.com Associate Editors Prof. Florentin Smarandache smarand@unm.edu Dr. Larissa Borissova lborissova@yaho... ...tor Dmitri Rabounski rabounski@yahoo.com Associate Editors Prof. Florentin Smarandache smarand@unm.edu Dr. Larissa Borissova lborissova@yahoo.com Step... ...downloaded free from the E-library of Science: http://www.gallup.unm.edu/ smarandache ISSN: 1555-5534 (print) ISSN: 1555-5615 (online) Standard Addre... ...New Method to Measure the Speed of Gravitation. . . . . . . . . . . . 3 F. Smarandache Quantum Quasi-Paradoxes and Quantum Sorites Paradoxes. . . 7 F.... ...marandache Quantum Quasi-Paradoxes and Quantum Sorites Paradoxes. . . 7 F. Smarandache A New Form of Matter — Unmatter, Composed of Particles and Anti... ...ropy of Space. . . . . . . . . . . . . . . . . . . . . . . . . . . . 81 F. Smarandache There Is No Speed Barrier for a Wave Phase Nor for Entang- led ... ... IN PHYSICS Volume 1 Quantum Quasi-Paradoxes and Quantum Sorites Paradoxes Florentin Smarandache Dept. of Mathematics, University of New Mexico, 200 C... ... A New Form of Matter — Unmatter, Composed of Particles and Anti-Particles Florentin Smarandache Dept. of Mathematics, University of New Mexico, 200 C... ...y” (Tucson, Arizona), February 18, 2005. The authors are grateful to Prof. Florentin Smarandache for his assistance and Stephen J. Crothers for some e...

Progress in Physics has been created for publications on advanced studies in theoretical and experimental physics, including related themes from mathematics. All submitted papers should be professional, in good English, containing a brief review of a problem and obtained results. All submissions should be designed in LATEX format using Progress in Physics template. This template can be downloaded from Progress in Physics home page http://www.geocities.com/ptep_online. Abstract and the necessary information about author(s) should be included into the papers. To submit a paper, mail the file(s) to Chief Editor. All submitted papers should be as brief as possible. Short articles are preferable. All that has been accepted for the online issue of Progress in Physics is printed in the paper version of the journal. To order printed issues, contact Chief Editor. This journal is non-commercial, academic edition. It is printed from private donations....

According to the Dictionary of Mathematics (Borowski and Borwein, 1991 [1]), the paradox is “an apparently absurd or self-contradictory statement for which there is prima facie support, or an explicit contradiction derived from apparently unexceptionable premises”....

... Chief Editor Dmitri Rabounski rabounski@yahoo.com Associate Editors Prof. Florentin Smarandache smarand@unm.edu Dr. Larissa Borissova lborissova@yaho... ...tor Dmitri Rabounski rabounski@yahoo.com Associate Editors Prof. Florentin Smarandache smarand@unm.edu Dr. Larissa Borissova lborissova@yahoo.com Step... ...downloaded free from the E-library of Science: http://www.gallup.unm.edu/ smarandache ISSN: 1555-5534 (print) ISSN: 1555-5615 (online) Standard Addre... ...s. . . . . . . . . . . . . . . . . . . . 92 D. Rabounski, L. Borissova, F. Smarandache Quantum Causality Threshold in the General Theory of Relativity... ...ll, C. M. Klinger Bootstrap Universe from Self-Referential Noise. . 108 F. Smarandache Verifying Unmatter by Experiments, More Types of Unmatter, and ... ...d in the General Theory of Relativity Dmitri Rabounski, Larissa Borissova, Florentin Smarandache Dept. of Mathematics, University of New Mexico, 200 C... ...eneral Theory of Relativity Dmitri Rabounski, Larissa Borissova, Florentin Smarandache Dept. of Mathematics, University of New Mexico, 200 College Roa... ... Experiments, More Types of Unmatter, and a Quantum Chromodynamics Formula Florentin Smarandache Dept. of Mathematics, University of New Mexico, 200 C...

Progress in Physics has been created for publications on advanced studies in theoretical and experimental physics, including related themes from mathematics. All submitted papers should be professional, in good English, containing a brief review of a problem and obtained results. All submissions should be designed in LATEX format using Progress in Physics template. This template can be downloaded from Progress in Physics home page http://www.geocities.com/ptep_online. Abstract and the necessary information about author(s) should be included into the papers. To submit a paper, mail the file(s) to Chief Editor. All submitted papers should be as brief as possible. Short articles are preferable. All that has been accepted for the online issue of Progress in Physics is printed in the paper version of the journal. To order printed issues, contact Chief Editor. This journal is non-commercial, academic edition. It is printed from private donations....

As shown, experiments registered unmatter: a new kind of matter whose atoms include both nucleons and anti-nucleons, while their life span was very short, no more than 10-20sec. Stable states of unmatter can be built on quarks and anti-quarks: applying the unmatter principle here it is obtained a quantum chromodynamics formula that gives many combinations of unmatter built on quarks and anti-quarks....

In the first chapter of this book we discuss Einstein’s thought experiment with atomic clocks.

Preface (Many Relativities ) In the first chapter of this book we discuss Einstein’s thought experiment with atomic clocks: A rocket travels at a constant speed v with respect to the earth. In the rocket, a light pulse is emitted by a source from A to a mirror B that reflects it back to A where it is detected. The rocket’s movement and the light pulse’s movement are orthogonal. There is an observer in the rocket (the astronaut) and an observer on the earth. The trajectory of light pulse (and implicitly the distance traveled by the light pulse), the elapsed time it needs to travel this distance, and the speed of the light pulse at which is travels are perceived differently by the two observers {depending on the theories used in this book}....

C O N T E N T S Preface (Many Relativities): 7 Chapter 1. On Einstein’s Thought Experiment with the Light Clocks: 19 1.1. Einstein’s Thought Experiment with the Light Clocks: 20 1.2. Relativistic Addition of Velocities: 23 1.3. Counter-Intuitive Results of the Relativistic Addition of Velocities: 23 1.4. Contradictory Results of the Relativistic Addition of Velocities: 24 1.5. Relativistic Addition of Superluminal Velocities: 26 1.6. Extension of Relativistic Formula for the Addition of Many Subluminal Velocities: 27 1.7. Generalization of Einstein’s Thought Experiment with the Light Clocks for Arbitrary Ultimate Velocity K: 35 1.8. Generalization of the Relativistic Addition Formula for Arbitrary Ultimate Velocity K: 37 1.9. Generalized Lorentz Factor: 39 1.10. Generalized Minkowski Norm: 39 1.11. Generalized Time Dilation: 39 1.12. Generalized Length Contraction: 40 1.13. Generalized Relativistic Momentum: 40 1.14. Generalized Energy: 40 1.15. The Generalized Total Energy: 40 1.16. Generalized Kinetic Energy: 41 Chapter 2. A Hypothesis: There is No Speed Barrier in the Universe and One Can Construct Arbitrary ...

...Florentin Smarandache a lansat un nou gen literar-artistic, adaptat cerinţelor cititorului şi scriitorului contemporan grăbit, numit FOTOJURNAL INSTANTANEU bazat pe abundenţa de imagini corespunzătoare textului, plus scrierea...

08.07.2010 Viaţa în Franţa e mai lejeră. În America e mai stresantă. Am scris pe foaia de lichidare că mi ar plăcea să revin în Fran-ţa ca lucrător (cercetător sau profesor la vreo Universitate). Cei de la HAL (prescurtare de la Hyper Articles en Ligne – Articole în exces online; este o arhivă deschisă gesti-onată de către Centrul pentru Comunicarea Ştiinţifică Directă, din Franţa) pretind că au o arhivă deschisă tuturor savanţilor, dar nu este deloc liberă, cum ar trebui. Articolele mele de matematică tradiţiona-lă (nu de avangardă, cum mi-e stilul) aşteaptă cu săptămânile pentru a fi validate. Cele de fizică sunt respinse (de exemplu, unul despre nematerie – unmatter, în engleză): imediat. 08.07.2010     Life in France is lighter. In America's most stressful. I wrote the winding sheet that I would like to return to Fran-ce as a worker (researcher or professor at a university).     Most of the HAL (short for Hyper Articles en Ligne - Online Articles excess, is an open archive pol-Onate by the Centre for Direct Scientific Communication, France) claim to have an archive open to all scientists, but it is not free , as it ...

Prefaţă, de Mircea Monu ………………………………… 4 Călătorul călătorului, eseu de George Anca …………… 9 FRANŢA (la Brest) ……………………………………… 12 UNGARIA (la Pécs) …………………………………… 41 FRANŢA (la Brest, Carnac şi la Paris) ………………… 51 ANGLIA (la Londra) …………………………………… 96 SCOŢIA (la Edinburg) ………………………………… 137 În loc de postfaţă ………………………………………… 165...

Author’s imagination of how would look the physical micro-universe using composed, found, changed, modified, alternated, or computer-programmed art works. These images are part of a series of about 100 cyberart creations representing the unimaginable little word of physics particles, anti-particles, un-particles that compose the matter, anti-matter, and un-matter....

Electronic Art (forward): 4 QUANTUM: 5 …micro-universe images QUANTUM THEORY: 23 …micro-universe images QUANTIZATION: 39 …micro-universe images QUANTUM NUMBERS: 56 …micro-universe images QUANTUM MECHANICS: 72 …micro-universe images GENERALIZATION OF SCHRÖDINGER EQUATION: 88 …micro-universe images...

The scholastic psychunlogy is the part of psychunlogy that studies the multiple aspects of the influence of the disorganized education practiced in schools, of the misprocesses resulted from the educational intervention with the psychological laws of the children’s education and instruction, of unlearning, of lifestyle deformation, and students’ personalities in the misprocess of educational instruction. Along with the child psychunlogy, the scholastic psychunlogy constitutes the principal source of misinformation and fundament of the science of parapedagogy. With this booklet, this unauthor introduces a new literary-scientific genre called psychological science fiction as part of the PARADOXISM movement in literature and science....

The separation of psychunlogy from philosophy and its deformation as an autonomous science takes place, especially as a result of the great regresses registered in some of the unnatural sciences such as biology (the anatomy and biology of the nervous system, the neuronvegetative and endocrine systems, senses organs), and physics (the science that proved the possibility of mess-experimentations and non-objective and relative exact measurements)....

Psychological Science Fiction (Unpreface) ................. 3 Table of Contents .................................. 4 Chapter 1 – The non-object and the psychunlogy’s problems .......... 7 The science of psychunlogy .............................. 7 The psychic, brain’s malfunction, non‐objective reflection of the non‐objective world ....... 7 The psychic misprocess of cognition .......................... 11 The psychic characteristics .............................. 12 The object of the scholastic psychunlogy ........................ 12 Chapter 2 – The unconscious psychic activity ............... 14 The conscienceless notion .............................. 14 The principal malfunctions of the conscienceless ..................... 15 The conscienceless dimensions ............................ 15 Self‐conscienceless (self‐awarenessless) ....................... 16 The collective self‐conscienceless (self‐awarenessless) .................. 16 The levels of disorganization of the psychic inhuman activities ................ 16 The psychic development in autogenesis ........................ 17 The factors of psychic’s non‐develop...

Creaţia este un risc Prefaţă Cei care construiesc şi cei care se căsătoresc nu sunt niciodată în siguranţă, sună un proverb suedez. Deci creaţia, care este o c-o-n-s-t-r-u-c-ţ-i-e, presupune un risc, atrăgând prieteni dar şi duşmani, şi lăsând o a treia categorie de oameni indiferenţi (ca-n logica neutrosofică). În a doua jumătate a vieţii producţia-mi literară s-a redus în cantitate, eu fiind absorbit în (şi sponsorizat pentru) creaţia ştiinţifică aplicată (matematică folosită în inginerie, robotică, medicină, aeronautică, sau încercări sporadice de fizică teoretică). În afara unor autotraduceri, şi-acelea înaintând greu din lipsă de timp, iar în domeniul plastic al ‘artei electronice’ (pe computer), mai scriu ca “literatură” doar memoriile despre diversele conferinţe ştiinţifice internaţionale la care sunt invitat să prezint lucrări de cercetare ori seminarii. Memorii care, de fapt, sunt nişte reportaje, îmbinate cu expunerea de idei şi teorii ştiinţifice, documentarii istorice, geografice, filozofice, antropologice, religioase, artistice, etc. de la diversele muzee, galerii de artă, monumente şi locuri culturale ...

Cifrele au început să vibreze mi-am încărcat buzunarele cu cifre şi pătrate şi am vâslit hoinar pe drumuri la fiecare colţ al liniei curbe a vieţii aruncam cu cercuri şi triunghiuri în mulţime şi ele rezonau cu cifre am pavat şoseaua iar sub paşii mei au început să vibreze când mi-am umplut plămânii de ele s-au convertit în litere şi am descins pe drumul poeziei...

...Prefaţă: Creaţia este un risc: 5 INTERVIURI: 6 Legătura dintre paradoxism şi Teoria Dezert-Smarandache (Interviu cu Flavia Teoc): 7 Exil sau diasporă? (Interviu cu Silvia Constantinescu): 11 God does play dice! (Interview with Ovidiu Bufnilă): 21 “Totul este posibil, chiar şi imposibilul!” (Interviu cu Tudor Neg...

Neutrosophic Physics. Let be a physical entity (i.e. concept, notion, object, space, field, idea, law, property, state, attribute, theorem, theory, etc.), be the opposite of , and be their neutral (i.e. neither nor but in between). Neutrosophic Physics is a mixture of two or three of these entities , , and that hold together. Therefore, we can have neutrosophic fields, and neutrosophic objects, neutrosophic states, etc. Neutrosophic Physics is an extension of Paradoxist Physics, since Paradoxist Physics is a combination of physical contradictories and only that hold together, without referring to their neutrality . Paradoxist Physics describes collections of objects or states that are individually characterized by contradictory properties, or are characterized neither by a property nor by the opposite of that property, or are composed of contradictory sub-elements. Such objects or states are called paradoxist entities. ...

2. The Gist of the Present Epistemology: The Surjective Qualon “Mere eruditic logic often turns – as has been generically said – philosophy into folly, science into superstition, and art into pedantry. How far away from creation and solitude, from play and imagination, from day and night, from noon and silhouette it is! How Genius is precisely everything other than being merely situational, alone as the Universe.” Herein we present a four-fold asymmetric theory of Reality whose essence – especially when properly, spontaneously understood – goes beyond the internal constitutions and extensive limitations of continental and analytic philosophies, including classical philosophy in its entirety (most notably: Platonism, neo-Platonism, atomism, dualism, and peripatetic traditions), monism (Spinoza-like and others), sophistic relativism and solipsism (which, as we know, has nothing to do with the actuality of the Einsteinian physical theory of relativity), dogmatic empiricism and materialism, Kantianism and neo-Kantianism, Hegelianism and non-Hegelian dialectics (existentialism), Gestalt psychologism, symbolic logic, hermeneutics, an...

...d Generalization of Reflexive Monism, by Indranu Suhendro … 29 A New Possible Form of Matter, Unmatter – Formed by Particles and Anti-Particles, by Florentin Smarandache … 58 Verifying Unmatter by Experiments, More Types of Unmatter, and A Quantum Chromodynamics Formula, by Florentin Smarandache … 63 Causality in Kaon Oscillations and Decay, by Thomas R. Love … 72 Exa...

Research papers presented in this collection manifest only a few of many possible applications of neutrosophic logics to theoretical physics. Most of these applications target the theory of relativity and quantum physics, but other sections of physics are also possible to be considered....

We apply the S-denying procedure to signature conditions in a four-dimensional pseudo-Riemannian space — i. e. we change one (or even all) of the conditions to be partially true and partially false. We obtain five kinds of expanded space-time for General Relativity. Kind I permits the space-time to be in collapse. Kind II permits the space-time to change its own signature. Kind III has peculiarities, linked to the third signature condition. Kind IV permits regions where the metric fully degenerates: there may be non-quantum teleportation, and a home for virtual photons. Kind V is common for kinds I, II, III, and IV....

...ivity, Gravitation, and Cosmology................6 S-Denying of the Signature Conditions Expands General Relativity’s Space, by Dmitri Rabounski, Florentin Smarandache, Larissa Borissova, Progress in Physics, 13-19, Vol. 3, 2006.......7 Positive, Neutral, and Negative Mass-Charges in General Relativity, by Larissa Borissova and Florentin Smarandache, Progress in Phy...

Progress and development in our knowledge of the structure, form and function of the Universe, in the true sense of the word, its beauty and power, and its timeless presence and mystery, before which even the greatest intellect is awed and humbled, can spring forth only from an unshackled mind combined with a willingness to imagine beyond the boundaries imposed by that ossified authority by which science inevitably becomes, as history teaches us, barren and decrepit. Revealing the secrets of Nature, so that we truly see ‘the sunlit plains extended, and at night the wondrous glory of the everlasting stars’*, requires far more than mere technical ability and mechanical dexterity learnt from books and consensus. The dustbin of scientific history is replete with discredited consensus and the grand reputations of erudite reactionaries. Only by boldly asking questions, fearlessly, despite opposition, and searching for answers where most have not looked for want of courage and independence of thought, can one hope to discover for one’s self. From nothing else can creativity blossom and grow, and without which the garden of science can o...

After the experiments were completed, the life span of such “atoms” was calculated theoretically in Chapiro’s works [61,62,63]. His main idea was that nuclear forces, acting between nucleon and anti-nucleon, can keep them far away from each other, hindering their annihilation. For instance, a proton and anti-proton are located at the opposite side of the same orbit and move around the orbit’s centre. If the diameter of their orbit is much larger than the diameter of the “annihilation area”, they can be kept from annihilation (see fig. 3). But because the orbit, according to Quantum Mechanics, is an actual cloud spreading far around the average radius, at any radius between the proton and the anti-proton there is a probability that they can meet one another at the annihilation distance. Therefore the nucleon---anti-nucleon system annihilates in any case, as this system is unstable by definition having a life span no more than 10-20 sec....

...me 26 2.7. Magic square problem 27 2.8. Palindromic number and iteration 27 2.9. Non-Euclidean geometry by giving up its fifth postulate 28 2.10. Smarandache Geometry and Degree of Negation in Geometries 28 2.11. Non-Archimedean triangle theorem 33 2.12. The cubic Diophantine equation 33 2.13. Multispaces and applications in physics 34 3 Unsolved Problems in Astrop...

The fourth volume, in my book series of “Collected Papers”, includes 100 published and unpublished articles, notes, (preliminary) drafts containing just ideas to be further investigated, scientific souvenirs, scientific blogs, project proposals, small experiments, solved and unsolved problems and conjectures, updated or alternative versions of previous papers, short or long humanistic essays, letters to the editors...

This short technical paper advocates a bootstrapping algorithm from which we can form a statistically reliable opinion based on limited clinically observed data, regarding whether an osteo-hyperplasia could actually be a case of Ewing’s osteosarcoma. The basic premise underlying our methodology is that a primary bone tumour, if it is indeed Ewing’s osteosarcoma, cannot increase in volume beyond some critical limit without showing metastasis. We propose a statistical method to extrapolate such critical limit to primary tumour volume. Our model does not involve any physiological variables but rather is entirely based on time series observations of increase in primary tumour volume from the point of initial detection to the actual detection of metastases....

.......................................6 ASTRONOMY..................................14 1. First Lunar Space Base, project proposal, by V. Christianto, Florentin Smarandache..15 2. On Recent Discovery of New Planetoids in the Solar System and Quantization of Celestial System, by V. Christianto, F. Smarandache..................28 3. Open and Solved Elementary Questions in A...

The fourth volume, in my book series of “Collected Papers”, includes 100 published and unpublished articles, notes, (preliminary) drafts containing just ideas to be further investigated, scientific souvenirs, scientific blogs, project proposals, small experiments, solved and unsolved problems and conjectures, updated or alternative versions of previous papers, short or long humanistic essays, letters to the editors...

This short technical paper advocates a bootstrapping algorithm from which we can form a statistically reliable opinion based on limited clinically observed data, regarding whether an osteo-hyperplasia could actually be a case of Ewing’s osteosarcoma. The basic premise underlying our methodology is that a primary bone tumour, if it is indeed Ewing’s osteosarcoma, cannot increase in volume beyond some critical limit without showing metastasis. We propose a statistical method to extrapolate such critical limit to primary tumour volume. Our model does not involve any physiological variables but rather is entirely based on time series observations of increase in primary tumour volume from the point of initial detection to the actual detection of metastases....

.......................................6 ASTRONOMY..................................14 1. First Lunar Space Base, project proposal, by V. Christianto, Florentin Smarandache..15 2. On Recent Discovery of New Planetoids in the Solar System and Quantization of Celestial System, by V. Christianto, F. Smarandache..................28 3. Open and Solved Elementary Questions in A...

...cs, and therefore we can think that the quantization of orbit distances can be caused by superfluid helium quantization. This issue is explored by F. Smarandache and V. Christianto. Moreover, F. Smarandache also discusses possible new era of research that is pertaining to superluminal physics and instantaneous physics. Ion Patrascu and D. Rabounski discuss superluminality ...

...RN. (I. Patrascu) Progress in Physics Vol.4, 2011...................127 Superluminal physics and Instantaneous physics as new trends in research (F. Smarandache) ...................129 The Hypergeometrical Universe: Cosmology and Standard Model. (M.A. Pereira). Jan. 2012...................134 On astrometric data and time-varying sun earth distance in light of Carmeli me...

The present book discusses, among other things, various quantization phenomena found in Astrophysics and some related issues including Brownian Motion. With recent discoveries of exoplanets in our galaxy and beyond, this Astrophysics quantization issue has attracted numerous discussions in the past few years. Most chapters in this book come from published papers in various peer-reviewed journals, and they cover different methods to describe quantization, including Weyl geometry, Supersymmetry, generalized Schrödinger, and Cartan torsion method. In some chapters Navier-Stokes equations are also discussed, because it is likely that this theory will remain relevant in Astrophysics and Cosmology While much of the arguments presented in this book are theoretical, nonetheless we recommend further observation in order to verify or refute the propositions described herein. It is of our hope that this volume could open a new chapter in our knowledge on the formation and structure of Astrophysical systems. ...

Abstract We explore Yang’s Noncommutative space-time algebra (involving two length scales) within the context of QM defined in Noncommutative spacetimes and the holographic area-coordinates algebra in Clifford spaces. Casimir invariant wave equations corresponding to Noncommutative coordinates and momenta in d-dimensions can be recast in terms of ordinary QM wave equations in d + 2-dimensions. It is conjectured that QM over Noncommutative spacetimes (Noncommutative QM) may be described by ordinary QMin higher dimensions. Novel Moyal-Yang-Fedosov-Kontsevich star products deformations of the Noncommutative Poisson Brackets are employed to construct star product deformations of scalar field theories. Finally, generalizations of the Dirac-Konstant and Klein-Gordonlike equations relevant to the physics of D-branes and Matrix Models are presented. ...

The present book covers a wide-range of issues from alternative hadron models to their likely implications in New Energy research, including alternative interpretation of low energy reaction (coldfusion) phenomena. While some of these discussions may be found a bit too theoretical, our view is that once these phenomena can be put into rigorous theoretical framework, thereafter more 'openminded' physicists may be more ready to consider these New Energy methods more seriously. Our basic proposition in the present book is that considering these new theoretical insights, one can expect there are new methods to generate New Energy technologies which are clearly within reach of human knowledge in the coming years....

In the preceding article we argue that biquaternionic extension of Klein-Gordon equation has numerical solution with sinusoidal form, which differs appreciably from conventional Yukawa potential. In the present article we interpret and compare this result from the viewpoint of EQPET/TSC model described by Takahashi. Further observation is of course recommended in order to refute or verify this proposition....

...ction and calculation of New Energy development – Fu Yuhua 111 4. Some unsolved problems in the physics of elementary particle – V. Christianto & F. Smarandache (PiP, vol. 3 no. 4, 2007) 127 5. About some unsolved problems in physics – M. Pitkanen 132 Beyond Standard Model, Unmatter and Yang-Mills Field 6. Bifurcations and pattern formation in particle physics: an intr...

This book was intended to discuss some paradoxes in Quantum Mechanics from the viewpoint of Multi-Valued-logic pioneered by Lukasiewicz, and a recent concept Neutrosophic Logic. Essentially, this new concept offers new insights on the idea of ‘identity’, which too often it has been accepted as given....

2 Lukasiewicz Multi-Valued-logic: History and Introduction to Multi- Valued Algebra 2.1 Introduction to trivalent logic and plurivalent logic We all have heard of typical binary logic, Yes or No. Or in a famous phrase by Shakespeare: “To be or not to be.” In the same way all computer hardwares from early sixties up to this year are built upon the same binary logic. It is known that the Classical Logic, also called Bivalent Logic for taking only two values {0, 1}, or Boolean Logic from British mathematician George Boole (1815-64), was named by the philosopher Quine (1981) “sweet simplicity.” [57] But this typical binary logic is not without problems. In the light of aforementioned ‘garment analogue’, we can compare this binary logic with a classic black-and-white tuxedo. It is timeless design, but of course you will not wear it for all occasions. Aristotle himself apparently knew this problem; therefore he introduced new terms ‘contingency’ and ‘possibility’ into his modal logic [5]. And then American logician Lewis first formulated these concepts of logical modality. ...

Contents Foreword 6 1 Introduction: Paradoxes, Lukasiewicz, Multi-Valued logic 7 2 Lukasiewicz Multi-Valued Logic: History and Introduction to Multi-Valued Algebra 10 2.1. Introduction to trivalent logic and plurivalent logic 10 2.2. History of Lukasiewicz and Multi-Valued Logic 12 2.3. Introduction to Multi-Valued Algebra, Chang’s Notation 15 2.4. Linkage between Multi-Valued Logic and Quantum Mechanics 15 2.5. Exercise 17 3 Neutrosophy 25 3.1. Introduction to Neutrosophy 25 3.2. Introduction to Non-Standard Analysis 26 3.3. Definition of Neutrosophic Components 27 3.4. Formalization 28 3.5. Evolution of an Idea 30 3.6. Definition of Neutrosophic Logic 31 3.7. Differences between Neutrosophic Logic and IFL 32 3.8. Operations with Sets 33 3.9. Generalizations 34 4 Schrödinger Equation 39 4.1. Introduction 39 4.2. Quantum wave dynamics and classical dynamical system 43 4.3. A new derivation of Schrödinger-type Equation 45 5 Solution to Schrödinger’s Cat Paradox 47 5.1. Standard interpretation 47 5.2. Schrödinger’s Cat Paradox 48 5.3. Hidden-variable hypothesis 50 5.4. Hydrodynamic viewpoint and diffusion i...

...This second book devoted on advances and applications of Dezert-Smarandache Theory (DSmT) for information fusion collects recent papers from different researchers working in engineering and mathematics. Part 1 of this book presents the current state-of-the-art on theoretical investigation...

...Preamble iii Prefaces v Part I Advances on DSmT 1 Chapter 1 Proportional Conflict Redistribution Rules for Information Fusion 3 by Florentin Smarandache and Jean Dezert 1.1 Introduction . . . . . . . . . . . 3 1.2 The principal rules of combination . . . . . . . 6 1.2.1 Notion of total and partial conflicting masses . . . . . 6 1.2.2 The conjunctive ...

...n the information provided by the sources is both uncertain and (highly) conflicting. This approach, known in literature as DSmT (standing for Dezert-Smarandache Theory), proposes new useful rules of combinations. We gathered in this volume a presentation of DSmT from the beginning to the latest development. Part 1 of this book presents the current state-of-the-art on theo...

...57 8.2.1 Preliminary: about probability . . . 157 8.2.2 Dempster Shafer Theory . . . . 161 8.2.3 Transferable Belief Model . . . . 162 8.3 Dezert Smarandache Theory (DSmT) . . . 163 8.3.1 Dezert Smarandache model . . . . 164 8.3.2 Fusion rule . . . . . 166 8.4 Probability over logical propositions . . . . 167 8.4.1 Definition . . . . . 167 8.4.2 Property . . . . ....

...an Francisco Cable Car by the Danbury Mint Edited by Homer B. Tilton and Florentin Smarandache Pima Community College, East Campus 2 Thi... ...co Cable Car by the Danbury Mint Edited by Homer B. Tilton and Florentin Smarandache Pima Community College, East Campus 2 This book can... ... books can be downloaded from the E-Library of Science: www.gallup.unm.edu/~smarandache/eBooks-otherformats.htm Production Editor: Gloria Valle... ... 2005 PIMA COLLEGE PRESS Edited by: Homer B. Tilton and Florentin Smarandache Production Editor: Gloria Valles Tucson, Arizona... ... PIMA COLLEGE PRESS Edited by: Homer B. Tilton and Florentin Smarandache Production Editor: Gloria Valles Tucson, Arizona 4... ...……... 25 Dr. Larissa B. Borrisova & Dmitri D. Rabounski ……….... 29 Dr. Florentin Smarandache ……………………….……….. 36 Greg Holmberg AKA B. Bash ………... ... Dr. Larissa B. Borrisova & Dmitri D. Rabounski ……….... 29 Dr. Florentin Smarandache ……………………….……….. 36 Greg Holmberg AKA B. Bash …………………….……….... ...onference, and a special welcome to the distinguished author and professor, Florentin Smarandache. Intellectual stimulation is an important part of... ... and a special welcome to the distinguished author and professor, Florentin Smarandache. Intellectual stimulation is an important part of education...

In a lecture that Einstein gave to the Prussian Academy of Sciences in 1921, he said the following: "Geometry predicates nothing about relations of real things, but only geometry together with the purport of physical laws can do so... The idea of the measuring rod and the idea of the clock contained with it in the theory of relativity do not find their exact correspondence in the real world. It is also clear that the solid body and the clock do not in the conceptual edifice of physics play the part of irreducible elements, but that of composite structures, which may not play any independent part in theoretical physics." / Einstein then went on to say that, in spite of the foregoing comment, we should temporarily support the use of the length and time transformations as though they were physically real....

...rrier: its construction and demolition. 14 -- Jim Malmberg. 17 -- DrDavid Iadevaia. 25 -- DrLarissa BBorrisova & Dmitri DRabounski. 29 -- DrFlorentin Smarandache. 36 -- Greg Holmberg AKA BBash. 43 -- Homer BTilton. 83 -- Credits . 100 -- Photos. 101 --...