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Departures |
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1 WAVES |
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1.1 The Wave Equation and Permutation of Rays |
3 |
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1.2 Preserving the Wave |
8 |
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1.3 Spherical Waves in Higher Dimensions |
12 |
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1.4 Causality and the Wave Equation |
19 |
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1.5 Waves in Ascending and Descending Dimensions |
31 |
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1.6 Null Cones in Cylindrical Dimensions |
37 |
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2 AUTOMATA |
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2.1 Cellular Automata |
44 |
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2.2 Impossible Strings for Cellular Automata |
57 |
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2.3 Global Reversibility of Cellular Automata |
60 |
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2.4 Function 34776 |
67 |
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2.5 Binary Reverse-Sum Automata |
71 |
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2.6 LXOR Cellular Automata and Perpendicular Causation |
79 |
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3 EIGEN SYSTEMS |
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3.1 Eigen Duality and Quantum Measurement |
84 |
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3.2 Eigen Systems |
92 |
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3.3 Quasi-Eigen Systems |
97 |
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3.4 Eigenspaces and Automedian Cycles |
102 |
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4 INFINITE GRID |
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4.1 Infinite Grid of Resistors |
109 |
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4.2 The Algebra of an Infinite Grid of Resistors |
120 |
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4.3 Resistor Grids and Matrix Square Roots |
132 |
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4.4 An Infinite Series for Resistor Grids |
143 |
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4.5 Gravity of a Torus |
150 |
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5 FORCES |
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5.1 Musings on Attractive Forces |
156 |
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5.2 Central Forces from Retarded Action |
161 |
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5.3 Non-Laplacian Interactions |
167 |
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5.4 Higher-Order Newtonian Dynamics |
175 |
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6 QUANTUM |
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6.1 Something Like Quantum Mechanics |
181 |
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6.2 Quantum Interactions On Null Surfaces |
183 |
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6.3 Is Entropy Quantized? |
185 |
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6.4 Hawking Radiation as Delayed Choice |
189 |
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6.5 Hawking Radiation and Super-Acoustic Diffusion |
192 |
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6.6 Potential Energy, Inertia, and Quantum Coherence |
198 |
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7 COMPUTATION |
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7.1 On Cumulative Results of Quantum Measurements |
206 |
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7.2 Is the World Provably Indeterminate? |
212 |
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7.3 Can Schrodinger's Cat Factor Numbers? |
216 |
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7.4 A Method Of Factoring Based On 1/N |
219 |
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7.5 Continuous Turing Machines |
222 |
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7.6 The Complex Domain of Probability |
225 |
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7.7 Probabilities and Velocities |
230 |
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8 INTERACTIONS |
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8.1 Aliasing and Uncertainty |
233 |
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8.2 The Filter Of Observation |
237 |
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8.3 The Ordering of Interactions |
247 |
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8.4 Transfer Functions and Causation |
250 |
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8.5 Guessing Faster Than Light |
256 |
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9 FOUNDATIONS |
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9.1 Dialogue on the Foundations of String Theory |
259 |
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9.2 An All-Collapse Interpretation |
270 |
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9.3 Dialogue on Many Worlds |
272 |
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9.4 Quantum Mechanics and Separability |
302 |
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9.5 Einstein, Bohr, Bell |
310 |
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9.6 Information and Energy |
314 |
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9.7 On the Correlations of Entangled Particles |
320 |
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APPENDICES |
328 |
