Day-age theory is an old-Earth creationism view based on and supported by the Bible. The word for "day" (Hebrew yom) in Genesis 1 may be interpreted as an ordinary day, or as an extended period (e.g., Genesis 2:4). The day-age view understands the days of Genesis 1 to give chronological information, but not a depiction of literal 24-hour days. Day-age theory seeks to harmonize faithful interpretation of the Bible with a modern understanding of science.
The day-age theory (as considered here) agrees with observed geological and astronomical time scales. However, it does not admit Darwinian (unguided) evolution, instead believing the Genesis account of how God created life and especially humans (Genesis 2:7). Contrary to wide-spread public impression, (neo)-Darwinian evolution cannot account for the initial origin of life. According to Genesis, you do not get from inorganic matter to organic by unguided natural processes, but only by God's spoken word (e.g., Genesis 1:26).
Two concerns about the day-age view are addressed in the Scripture section below. First is the problem of the appearance of light on the fourth day. Second is the implication that disease and death must have existed before the Fall of man.
The day-age theory is an old Earth creationism view that agrees with observed astronomical and geological time scales but does not allow Darwinian evolution. The age of the universe is estimated at about 13.7 billion years, based on two primary methods: by studying the oldest stars, and by measuring the expansion rate of the universe and then extrapolating back to the beginning. Both the Bible (Genesis 1:1) and astronomical evidence confirm that the universe had a beginning. The fine-tuning of the universe over a long stellar history in order to support human life is an incredible proof of divine design.
Radiometric dating of meteorite material and ancient rocks give an estimate for the age of the Earth at 4.5 billion years. There are assumptions and uncertainties in the estimated age; the scientific view could change if new evidence is discovered. Day-age theory asserts that Earth’s geologic features formed over long ages through both gradual and catastrophic processes. The age of the Earth has no bearing on the initial (divine) origins of life. An ancient Earth does not equate with Darwinian evolution. Darwinian evolution (change through unguided processes) is unbiblical, biologically untenable, and not supported by the fossil record. The sudden and rapid diversification of life forms during the Cambrian period (around 541 million years ago) is seen as evidence of a prolonged creative period, rather than an ordinary day. This explosion of diversity is difficult to explain through gradual evolution over millions of years.
God miraculously created life, including Adam and Eve (Genesis 1:27), who were uniquely made in the image of God and from whom humanity’s sin originated. As an (old-earth) creationism view, day-age theory fits withing the framework of the Bible.