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Most people accept the current old-earth (OE) age estimate of around 4.6 billion years.
This age is obtained from radiometric dating and is assumed by evolutionists to provide a sufficiently long time-frame for Darwinian evolution.
And OE Christians (theistic evolutionists) see no problem with this dating whilst still accepting biblical creation, see Radiometric Dating - A Christian Perspective.
This is the crucial point: it is claimed by some that an old earth supports evolutionary theory and by implication removes the need for biblical creation.
But YE scientists point out some anomalies in relation to C-14 and a very old earth.
For instance, measurable amounts of C-14 have been found in fossil material, such as coal (traditionally Carboniferous period c300 mya).
Accepted Dating Methods Here we outline some dating methods, both absolute and relative, that are widely accepted and used by the scientific community.This challenge is mainly headed by Creationism which teaches a young-earth (YE) theory.A young earth is considered to be typically just 6,000 years old since this fits the creation account and some dating deductions from Genesis.These estimates give 4.4-4.5 billion years for moon rock, and 4.54 billion years for iron metreorites.These techniques utilize the physical parameters of the earth, such as ice cores, annual lake sediments, and astronomical cycles.
The earth precesses (wobbles like a spinning top) around the sun in a series of cycles.