The assumption that the Keeling Curve can be approximated with a function $$k=A+B\cdot e^{\alpha t}$$ leads to a solution with $A=258.6$, $B=4,243\cdot 10^{-13}$ and $\alpha=0.0166$ with a high correlation with measured data. The time parameter is years B.C. and $k$ is PPM atmospheric carbon dioxide.
The blue line is the Keeling Curve and the center of the red ribbon correspond to the function $k$. Since the Keeling Curve can be trapped by the function $k$ the parameters $B$ and $\alpha$ are measures (or invariants) of our modern civilization. The baseline parameter $A=258.6$ seems to originate from the pre-industrial climate:
If nothing breaks the (so far invariant) trend, the carbon dioxide content in the year 2100 will be around $$258.6+4.243\cdot 10^{-13}\cdot e^{0.0166\cdot 2100}=843.6$$ (in accordance with the business as usual scenario from IPCC) which more than doubles the carbon dioxide content of the year 2020: $414$ ppm. Due to the law of Arrhenius and IPCC, the increase of global average temperature then would be about $3$ Kelvin between 2020 and 2100.
Seeing what the $1$ Kelvin increment 1970-2020 have done to our society, the possible $3$ Kelvin increment 2020-2100 seems very devastating, so my question is
Are there economic theories applicable to find solutions to this problem? Are there discussion among economists how to reduce the usage of fossil fuels? A reference is desirable.
My view of economics is, the science of how to take care of once interests, as far as one can tell, in an efficient manner.
The Keeling curve, Arrhenius formula and IPCC's assignation of the climate sensitivity (the increment of temperature on Earth when the concentration of carbon dioxide doubles), is as far as one can tell information of high quality.
People react differently on global warming, from YOLO and 'there will be a growing market for air conditioning systems' to 'we want our children to have a greate future'. Economists among the latter group ought to make great effort to the question how their knowledge could be used to take care of their interest in an efficient manner.