##### What's Hot

We extend General Relativity by promoting Planck scale and the cosmological
constant into integration constants, interpreted as fluxes of $4$-forms hiding
in the theory. When we include the charges of the $4$-forms, these `constants’
can vary discretely from region to region. We explain how the cosmological
constant problem can be solved in this new framework. When the cosmological
constant picks up contributions from two different $4$-forms, with an
irrational ratio of charges, the spectrum of its values is a very fine
discretuum. When the charges are mutually irrational, $\frac{2\kappa_{\tt eff}^2 \kappa^2 |{\cal Q}_i|}{3{\cal T}^2_i} < 1$, the discharge processes
populating our discretuum will dynamically relax $\Lambda$, ceasing as
$\Lambda$ approaches zero. Thus the theory exponentially favors a huge
hierarchy $\Lambda/\mpl^4 \ll 1$ instead of $\Lambda/\mpl^4 \simeq 1$.

Share.