Marginalia

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1  Physics

1.1  The Moon Always Veers Toward the Sun	4
1.2  Gravitational Slingshot	7
1.3  Retrograde Moon?	10
1.4  Two Geophysical Coincidences	12
1.5  Weighing the Moon	14
1.6  The Effect of Variations in Speed	16
1.7  Tilting Pencils	19
1.8  Time for a Rocking Chair	23
1.9  Reactionless Propulsion (Not)	28
1.10  Bell Tests and Biased Samples	30
1.11  Geophysical Altitudes	35
1.12  Compressor Stalls and Mobius Transformations	42
1.13  Normal Shock Waves	48
1.14  Hypocycloidal Engine	50
1.15  If the Sun Were Suddenly to Explode	52
1.16  The Projection Postulate	60
1.17  General Doppler	62
1.18  Varrying the Vacuum Index of Refraction	65
1.19  Talking About Photons	70
1.20  Elusive Interference	76

2  Relativity

2.1  Energy Conservation and Lorentz Invariance	79
2.2  The IEEE Refutes Special Relativity	85
2.3  A Budget of Barn Poles	88
2.4  Accelerating Measurements	97
2.5  Relative Rain	100
2.6  Doppler By Any Means	101
2.7  Hoop-Skirts of the Mind	104
2.8  On a Letter to the EJPC	118
2.9  The Doppler Twins	121
2.10  Light Paths in Rotating Coordinates	125
2.11  Intersecting Loci with Constant Separation	130
2.12  Radar Speed Guns and Tuning Forks	134
2.13  LIDAR Speed Guns and Photons	140
2.14  Frequency and Photons	146
2.15  Time in a Centrifuge	149
2.16  On Groups and Lorentz’s Scale Factor	151
2.17  Analysis of Relativistic Orbits	156
2.18  Newtonian and Relativistic Travel	164
2.19  Slow Clock Transport	167
2.20  Inertial Navigation and Relativity	176
2.21  Special Relativity and Superluminal Travel	180
2.22  Energy and Proper Time	191
2.23  Expanding Spheres	194
2.24  Eigenvectors of Lorentz Transformations	196
2.25  Addition Theorems and Composition	199
2.26  Muons and Clocks	202
2.27  Deducing Mass-Energy Equivalence	211
2.28  Simple Derivations of the Lorentz Transformation	213
2.29  Conjugate Speed Transformations	216

3  Logic

3.1  Bisceting Plane Figures	218
3.2  The Mirror Question	224
3.3  Is Arithmetic Consistent?	232
3.4  Fuzzy Logic	245
3.5  A Procrustean Protocol	248
3.6  Sudoku Symmetries	250
3.7  Finite Subgroups of the Mobius Group	261
3.8  Fractal Logic	262
3.9  Whole Permutation Fractions	266
3.10  Subtracting the Reversal	272
3.11  Series within Parallel Resistance Networks	279
3.12  Precession in a Circle	285
3.13  A Cubic Puzzle	290
3.14  The Sums of Signed Quantities	293
3.15  Counting Zeros and Crossing Over	299
3.16  Twelve Men and a SeeSaw	306
3.17  Partition Parities	310
3.18  Marginalia	317
3.19  Hierarchial Models and Cascading Inferences	330
3.20  Rational Triangles in Spacetime	336
3.21  Areas of Triangle Partitions	341
3.22  A Swiss Triangle	347
3.23  Triangle in a Square	349
3.24  Triangles in a Row	351
3.25  Partitioning Polygons	352
3.26  Curved Paths and Linear Segments	359
3.27  The Longest Night	361
3.28  Sandford's Elevator	363

4  History

4.1  The Increasing Mass of Lincoln Barnett	367
4.2  Feynman, French Curves, and Fragility	369
4.3  Herbert Dingle and the Twins	376
4.4  Maxwell’s Vacuum	386
4.5  Bertelson’s Number	388
4.6  The Quantity of Motion	390
4.7  Maxwell’s Paradox of Attraction	396
4.8  The Y10K Problem, Pascal's Wager, and Petersberg	402
4.9  Certainty in Mathematics and Physics	404
4.10  The Trace in the Footnote	406
4.11  Cosmoclast versus Iconoclast	409