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It is not a matter of whether the science itself is faulty.
The reality is that the science is rather elegant in its function.
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Are you speaking of Veteran's benefits or benefits from the state of Virginia....
In fact, the natural production of radiocarbon has varied as well.
Before the industrial revolution, from 1800 - 1400 AD, the natural production of radiocarbon was high, so dates are "too young." From 1400 AD to 300 BC they are "too old," and prior to 300 BC , they are too young.
This bomb radiocarbon has been gradually removed from the atmosphere by by natural processes, but the "bomb spike" can be shown through the dating by means such as comparing the bottle date and radiocarbon age of wines. Nitrogen atoms high in the atmosphere can be converted to radiocarbon if they are struck by neutrons produced by cosmic ray bombardment. The rate of bombardment is greatest near the poles, where the Earth's magnetic field is dipping into the Earth and therefore does not deflect incoming cosmic rays. Increased rates of deep-water upwelling may responsible for the "too old" radiocarbon ages during the last glaciation. Atmospheric radiocarbon calibration beyond 11,900 cal BP from Lake Suigetsu. The production of radiocarbon has not varied wildly through time, but the changes produce consistent differences from calander ages.