Skyrmions : a great finishing touch to classical Newtonian philosophy / editors, Maricel Agop and Nicolae Mazilu.

Includes bibliographical references (pages [217]-228) and index.

Description based on print version record.

English.

SKYRMIONS -- A GREAT FINISHING TOUCH TO CLASSICAL NEWTONIAN PHILOSOPHY ; LIBRARY OF CONGRESS CATALOGING-IN-PUBLICATION DATA ; CONTENTS ; PREFACE ; SKYRMIONS -- A GREAT FINISHING TOUCH TO CLASSICAL NEWTONIAN PHILOSOPHY ; INTRODUCTION ; Chapter 1 A CLASSICAL ATOM UNDER LIGHT ; 1. THE FORCES OF QUANTIZED ATOM ; 2. DISCUSSION OF THE TWO FORCES ; 3. A TYPICAL NEWTONIAN QUESTION AND ITS ANSWER ; 4. THE TWO FORCES IN A SHORT HISTORY ; 5. SUFFICIENT CLASSICAL CONCEPTS: THE CASE OF ORBIT ; 6. BRIEFLY: SOMETHING EXTRA ABOUT SL(2, R) ; 7. SOME CONCLUSIONS POINTING OUT TO A DEFINITE CHOICE.

Chapter 2 A MODERN KEPLERIAN SYNTHESIS FOR THE MODERN THEORETICAL PHYSICS 1. A LITTLE HISTORY ; 2. GEOMETRICAL SHAPES OF HEAVENLY FORMATIONS OF MATTER ; 3. THE CLASSICAL CONNECTION ; 4. A VIEW OF CELESTIAL MATTER ; 5. THE UNIVERSALITY PROPERTY ; Chapter 3 THE ABSOLUTE GEOMETRY OF 2 2 MATRICES ; 1. THE TWO ACTIONS OF 2 2 MATRICES ; 2. THE ANALYTIC GEOMETRY OF 2 2 MATRICES ; 3. HOMOGRAPHIC ACTION IN ONE DIMENSION ; 4. THE CONSERVATION LAWS ; 5. SOME CLASSICAL EXAMPLES ; Chapter 4 THE ATOMIC NUCLEUS AND THE HARMONIC MAPS ; 1. THE CLASSICAL KEPLER PROBLEM.

2. A CLASSICAL DESCRIPTION OF THE NUCLEUS 3. CASTING NEW LIGHT ON THE OLD NUCLEUS ; Chapter 5 THE SKYRMIONS ; 1. VARIATION ON THE THEME OF HARMONIC MAPS ; 2. THEORY OF MANTON: A MATTER BRIDGE BETWEEN GEOMETRIES ; 3. A MERIT OF MANTON'S GEOMETRIZATION ; 4. A POTENTIAL OF DEFORMATION OF HIGHER DEGREE ; 5. A GEOMETRICAL CHOICE OF ENERGY OF DEFORMATION ; 6. AN ILLUSTRATIVE EXAMPLE OF POTENTIAL ; Chapter 6 NEWTONIAN FORCES IN CONTINUA ; 1. THE FOUNDATIONS OF MANTON GEOMETRIZATION ; 2. THE UNIVERSALITY OF MANTON GEOMETRIZATION.

Chapter 7 SOME PHYSICAL GEOMETRY AND A FEW STATISTICAL CONNECTIONS 1. THE BINARY CUBIC: MEANING AND NOTATIONS ; 2. THE ALGEBRA RELATED TO CUBIC EQUATION ; 3. AN EXTERNAL GAUGE FACTOR ; 4. A PHYSICAL INTERPRETATION ; 5. NOVOZHILOV'S STATISTICS AND THE SPECIFICATION OF HESSIAN ; 6. BARBILIAN'S DIFFERENTIAL GEOMETRY ; 7. THE APOLAR TRANSPORT OF CUBICS ; 8. PETER MCCULLAGH'S OBSERVATION ON CAUCHY STATISTICS ; Chapter 8 POST-NEWTONIAN THEORY OF FORCES AND THEIR NEWTONIAN ANCESTRY ; 1. THE FORCES INSIDE NUCLEUS ; 2. A PURELY MATHEMATICAL REASON FOR NEWTONIAN FORCE.

3. A COMPLEX THREE-DIMENSIONAL GENERALIZATION 4. A SPECIAL DYNAMICS ; 5. FORCES AND HARMONIC COORDINATES ; 6. THE REFERENCE FORCES OF CLASSICAL MECHANICS ; 7. THE CLASSICAL NEWTONIAN PRINCIPLE ; 8. A LITTLE GEOMETRY AND LOTS OF PHYSICS ; 9. AN S-MATRIX ENDING TO THIS NEWTONIAN STORY ; Chapter 9 THE HEAVENS TALK TO US THROUGH LIGHT ; 1. JAYNES' PROGRAM ; 2. PLANE HOMOGENEOUS QUADRATIC FORMS ; 3. GROUPS ALONG AND ACROSS A CONIC SECTION ; 4. JOINT INVARIANT FUNCTIONS IN 2D THEORETICAL PHYSICS ; 5. A PROBABILISTIC DESCRIPTION OF THE LIGHT-ATOM ENCOUNTER.

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