## Quantum Mechanics and GravityTheoretical physics is presently at a very exciting time in the history of scientific discovery. For we are at a precipice facing two conflicting 20th century revolutionary movements in physics, each purporting to be basic truths of nature - the quantum theory and the theory of relativity. In the 20th century the mathematical expression of the quantum theory yielded correct predictions of a great deal of the data on the behavior of the molecular, atomic, nuelear and elementary partiele domains of matter. In the same period, the theory of relativity suc cessfully described new features of material systems. In special rela tivity, the relativistic Doppler effects (transverse and longitudinal) of electromagnetic radiation, and the mechanics of matter that moves at speeds elose to the speed of light, revealing, for example, the en 2 ergy mass relation, E = mc , revolutionized our thinking. In its form of general relativity, it has yielded a formalism that successfully pre dicted features of the phenomenon of gravity, also predicted by the elassical Newtonian theory, but in addition, features not predicted by the elassical theory, thereby superceding Newton's theory of universal gravitation. The problem we are now faced with, in these early decades of the 21st century, is that in their precise mathematical forms and their conceptual bases, the theory of relativity and the quantum theory are both logically and mathematically incompatible. |

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### Contents

I | 1 |

II | 2 |

III | 3 |

IV | 4 |

VI | 6 |

VII | 9 |

VIII | 11 |

IX | 15 |

L | 94 |

LI | 95 |

LII | 97 |

LIII | 98 |

LIV | 100 |

LVI | 101 |

LVII | 103 |

LVIII | 108 |

X | 18 |

XI | 21 |

XII | 25 |

XIII | 26 |

XIV | 27 |

XV | 28 |

XVI | 30 |

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XVIII | 34 |

XIX | 36 |

XX | 39 |

XXI | 43 |

XXII | 44 |

XXIII | 47 |

XXIV | 48 |

XXV | 50 |

XXVI | 53 |

XXVII | 54 |

XXVIII | 55 |

XXIX | 58 |

XXX | 61 |

XXXI | 63 |

XXXII | 64 |

XXXIII | 67 |

XXXIV | 71 |

XXXV | 73 |

XXXVII | 75 |

XXXVIII | 76 |

XXXIX | 77 |

XL | 79 |

XLI | 80 |

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XLV | 86 |

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XLIX | 91 |

LIX | 110 |

LX | 111 |

LXI | 113 |

LXII | 114 |

LXIII | 117 |

LXIV | 121 |

LXV | 122 |

LXVI | 124 |

LXVII | 127 |

LXVIII | 130 |

LXIX | 131 |

LXX | 132 |

LXXI | 134 |

LXXII | 135 |

LXXIII | 136 |

LXXIV | 138 |

LXXV | 139 |

LXXVI | 140 |

LXXVII | 141 |

LXXVIII | 143 |

LXXIX | 147 |

LXXX | 148 |

LXXXI | 150 |

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LXXXIV | 155 |

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LXXXVII | 160 |

LXXXVIII | 161 |

LXXXIX | 163 |

XC | 166 |

XCI | 168 |

XCII | 170 |

XCIII | 171 |

XCIV | 175 |

189 | |

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affine connection antiparticle antisymmetric approximation atomic black hole Chap charged matter closed system components conjugate conservation constant coordinate corresponds cosmology coupling covariant curved spacetime decay derived Dirac Einstein group Einstein's field equations Einstein's tensor Einstein's theory electron elementary matter empirical energy equation of motion expression factorization field equations 2.3 flat spacetime follows formalism function galaxies geodesic equation inertial mass irreducible laws of nature linear Mach principle magnetic matter field equations Maxwell's equations Maxwell's field equations measure metric tensor metrical field neutrino neutron Newton's theory nonlinear pair parameters Pauli Pauli exclusion principle physical vacuum pion Poincare group predicted proton quantum mechanics quantum theory quaternion quaternion field reference frame relativistic relativity theory right-hand side scalar Schrodinger Schwarzschild solution space spatial special relativity speed spinor field star stationary orbits symmetry test body theory of gravity theory of matter theory of relativity tion transformations universe vanishes vector wave equation zero

### Popular passages

Page 182 - Complementarity: An essay on the 40th anniversary of the Hicks-Allen revolution in demand theory'. Journal of Economic Literature 12. Sachs, Mendel: 1968, 'A symetric-tensor-antisymmetric-tensor theory of gravitation and electromagnetism from a quaternion representation of general relativity', II Nuovo Cimento 5 SB. Sachs, Mendel: 1970, 'On the most general form of a field theory from symmetry principles'.

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