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format 8, clarify 9, add 33
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:A footnote goes on to say that "In a complicated or contrived series of calculations that most physics majors cannot duplicate even after learning them, the theory of general relativity's fundamental formula, <math>G_{\mu\nu} = 8 \pi K T_{\mu\nu}\,</math>, was conformed to match Mercury's then-observed precession of 5600.0 arc-seconds per century.  Subsequently, however, more sophisticated technology has measured a different value of this precession (5599.7 arc-seconds per century, with a margin of error of only 0.01) ..."
 
:A footnote goes on to say that "In a complicated or contrived series of calculations that most physics majors cannot duplicate even after learning them, the theory of general relativity's fundamental formula, <math>G_{\mu\nu} = 8 \pi K T_{\mu\nu}\,</math>, was conformed to match Mercury's then-observed precession of 5600.0 arc-seconds per century.  Subsequently, however, more sophisticated technology has measured a different value of this precession (5599.7 arc-seconds per century, with a margin of error of only 0.01) ..."
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:Considering only the ''anomalous'' precession, that is, the precession that remains after all known other factors (other planets and asteroids, solar oblateness) have been accounted for, general relativity predicts 42.98 ±0.04 arcseconds per century.  Some observed values are:
 
:Considering only the ''anomalous'' precession, that is, the precession that remains after all known other factors (other planets and asteroids, solar oblateness) have been accounted for, general relativity predicts 42.98 ±0.04 arcseconds per century.  Some observed values are:
 
::: 43.11 ± 0.21 (Shapiro et al., 1976)
 
::: 43.11 ± 0.21 (Shapiro et al., 1976)
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9: ''The discontinuity in momentum as velocity approaches "c" for infinitesimal mass, compared to the momentum of light.''
 
9: ''The discontinuity in momentum as velocity approaches "c" for infinitesimal mass, compared to the momentum of light.''
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:You have to take them going to 0 at the same time! It's nonsense for a massive particle to travel at c!
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:The formulas for velocity, momentum, and mass can in fact be written in such a way that they appear to have discontinuities, just as the tangent function has discontinuities while the underlying sine and cosine functions do not.  But they can also be written in a form that does not show discontinuities.
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:All particles, with or without mass, can have any value of momentum.  The formula for the velocity of a particle, in terms of its mass and momentum, is
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:::<math>v = \frac{pc}{\sqrt{m^2c^2+p^2}}</math>
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:For a particle with mass, this means that momentum of zero gives a speed of zero, and, as the momentum approaches infinity, the speed approaches c.
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:For a massless particle, the speed is always c.
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33: ''Based on Relativity, Einstein claimed in 1909 that the aether does not exist, but in order to make subatomic physics work right, theorists had to introduce the aether-like concept of the Higgs field, which fills all of space and breaks symmetries.''
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Quantum field theory abounds with fields.  The Higgs particle has a Higgs field.  It has nothing to do with the "luminiferous aether".
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