A new paradigm for the modelling of reality is currently being developed called Process Physics.
In Process Physics we start from the premise that the limits to logic, which are implied by Gödel's incompleteness theorems, mean that any attempt to model reality via a formal system is doomed to failure. Instead of formal systems we use a process system, which uses the notions of self-referential information with self-referential noise and self-organised criticality to create a new type of information-theoretic system that is realising both the current formal physical modelling of reality but is also exhibiting features such as the direction of time, the present moment effect and quantum state entanglement (including EPR effects, nonlocality and contextuality), as well as the more familiar formalisms of Relativity and Quantum Mechanics. In particular a theory of Gravity has already emerged.
In short, rather than the static 4-dimensional modelling of present day (non-process) physics, Process Physics is providing a dynamic model where space and quantum matter emerge from a fundamentally random but self-organising system. The key insight is that to adequately model reality we must move on from the traditional non-process syntactical information modelling to a process semantic information modelling; such information is `internally meaningful'.
The new theory of gravity which has emerged from Process Physics is in agreement with all experiments and observations. This theory has two gravitational constants: G, the Newtonian gravitational constant, and a second dimensionless constant which experiment has revealed to be the fine structure constant. This theory explains the so-called `dark matter' effect in spiral galaxies, the bore hole gravitational anomalies, the masses of the observed black holes at the centres of globular clusters and spherical galaxies, and the anomalies in Cavendish laboratory measurements of G. As well it gives a parameter-free account of the supernovae Hubble expansion data without the need for dark energy, dark matter nor accelerating universe. This reveals that the Friedmann equations are inadequate for describing the universe expansion dynamics.
The experimental and theoretical research program to study and develop this theory of gravity was supported in 2005-2006 by an Australian Research Council Discovery Grant.
In 2010 the Telesio - Galilei Academy of Science awarded Professor Reg Cahill a Gold Medal for the development of Process Physics. The ceremony was held at the University of Pecs, Hungary.