Emergent Graph Theory (EGT) starts from one thesis: stable structure, at any scale, is a configuration that has become invariant under energy-conserving dynamics.
It rests on four postulates. Energy is fundamentally spectral and carries the history of its interactions. Information routing through the graph emerges from spectral overlap. Time is the cumulative count of interaction events, not an external parameter. And the substrate itself is active – a fifth force acting outside matter.
In simulation, the framework runs complete cosmological cycles while global energy drift stays at the 10⁻¹⁰ scale. For us, EGT is more than physics: it is the blueprint for an intelligence that builds structure where it pays off – and lets go of what no longer does.