LEADER 05577nam 2200661 a 450 001 9910784822703321 005 20230721031032.0 010 $a1-281-91873-3 010 $a9786611918736 010 $a981-270-915-0 035 $a(CKB)1000000000409642 035 $a(EBL)1679570 035 $a(OCoLC)879023637 035 $a(SSID)ssj0000276294 035 $a(PQKBManifestationID)11218858 035 $a(PQKBTitleCode)TC0000276294 035 $a(PQKBWorkID)10225742 035 $a(PQKB)11699826 035 $a(MiAaPQ)EBC1679570 035 $a(WSP)00006544 035 $a(Au-PeEL)EBL1679570 035 $a(CaPaEBR)ebr10255628 035 $a(CaONFJC)MIL191873 035 $a(EXLCZ)991000000000409642 100 $a20070524d2007 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aZero to infinity$b[electronic resource] $ethe foundations of physics /$fPeter Rowlands 210 $aNew Jersey $cWorld Scientific$dc2007 215 $a1 online resource (738 p.) 225 1 $aK & E series on knots and everything ;$vv. 41 300 $aDescription based upon print version of record. 311 $a981-270-914-2 320 $aIncludes bibliographical references (p. 639-668) and index. 327 $aContents; Preface; 1. Zero; 1.1 An Origin for Everything; 1.2 The Genesis of Number; 1.3 The Genesis of Algebra; 1.4 Group Representations; 1.5 Rewriting Nature; 1.6 Quaternions and Vectors; 2. Why Does Physics Work?; 2.1 A Foundational Level; 2.2 The Origin of Abstraction; 2.3 Symmetry; 2.4 The Meaning of the Conservation Laws; 2.5 The Mathematical Structure of Physical Quantities; 2.6 Where Does Dimensionality Come From?; 2.7 A Group of Order 4; 2.8 Noether's Theorem Revisited; 2.9 Analytic Versus Synthetic; 2.10 The Power of Analogy; 2.11 The Nature of Reality; 3. The Emergence of Physics 327 $a3.1 The Mathematical Character of Physics; 3.2 The Algebra of Space, Time, Mass and Charge; 3.3 The Dirac Algebra; 3.4 The Creation of the Dirac State; 3.5 The Nilpotent Dirac Equation; 3.6 Uniqueness, Qubits and Quantum Computing; 3.7 The Completeness of Mathematical Physics; 3.8 Theoretical Computation; 4. Groups and Representations; 4.1 The Dirac Equation and Quantum Field Theory; 4.2 Reversals of Properties; 4.3 The Dual Group and Higher Symmetries; 4.4 A Broken Octonion; 4.5 A Hierarchy of Dualities; 4.6 Dimensionality; 4.7 Symmetry Hierarchy; 4.8 Colour Representation 327 $a4.9 3-D (Vector) Representation; 4.10 Tetrahedral Representation; 5. Breaking the Dirac Code; 5.1 Singularities and Redundancy; 5.2 Redundancy in the Dirac Equation; 5.3 Defragmenting the Dirac Equation; 5.4 The Dirac 4-Spinor; 5.5 The 4-Component Differential Operator; 5.6 C-Linear Maps and Lifts; 5.7 The Quaternion Form Derived from a Matrix Representation; 5.8 Bilinear Covariants and the Dirac Lagrangian; 5.9 Removing Redundancies in Relativistic Quantum; 5.10 Orthonormality of the Nilpotent Solutions of the Dirac Equation; 6. The Dirac Nilpotent; 6.1 Spin; 6.2 Helicity 327 $a6.3 Fermions and Bosons; 6.4 Vacuum; 6.5 CPT Symmetry; 6.6 Baryons; 6.7 Gluons and Exotic States; 6.8 Parities of Bosons and Baryons; 6.9 Supersymmetry and Renormalization; 6.10 Annihilation and Creation Operators; 6.11 The Quantum Field; 6.12 The Nilpotent State; 6.13 Nonlocality; 6.14 BRST Quantization; 7. Nonrelativistic Quantum Mechanics and the Classical Transition; 7.1 The Bispinor Form of the Dirac Equation; 7.2 The Schro?dinger Approximation; 7.3 The Heisenberg Formulation of Quantum Mechanics; 7.4 Heisenberg v. Schro?dinger; 7.5 The Quantum-Classical Transition; 7.6 The Classical Limit 327 $a7.7 The Dirac Nilpotent Using Discrete Differentiation; 7.8 Idempotent and Nilpotent Versions of Quantum Mechanics; 7.9 A Fundamental Quantum Mechanical Duality; 8. The Classical and Special Relativistic Approximations; 8.1 Linear Versus Orbital Dynamics; 8.2 Scaling Relations; 8.3 Special Relativity; 8.4 The Significance of the Proper Time; 8.5 The Nature of Classical Physics; 8.6 Constructed Quantities; 8.7 Classical Mechanics; 8.8 Classical Electromagnetic Theory; 9. The Resolution of Paradoxes; 9.1 Paradoxes Relating to Conservation and Nonconservation 327 $a9.2 Paradoxes Relating to Continuity and Discontinuity 330 $aUnique in its field, this book uses a methodology that is entirely new, creating the simplest and most abstract foundations for physics to date. The author proposes a fundamental description of process in a universal computational rewrite system, leading to an irreducible form of relativistic quantum mechanics from a single operator. This is not only simpler, and more fundamental, but also seemingly more powerful than any other quantum mechanics formalism available. The methodology finds immediate applications in particle physics, theoretical physics and theoretical computing. In addition, taking the rewrite structure more generally as a description of process, the book shows how it can be applied to large-scale structures beyond the realm of fundamental physics. 410 0$aK & E series on knots and everything ;$vv. 41. 606 $aPhysics 606 $aMathematical physics 615 0$aPhysics. 615 0$aMathematical physics. 676 $a530 700 $aRowlands$b Peter$0602753 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910784822703321 996 $aZero to infinity$91014836 997 $aUNINA