Gravitational Waves and Dark Matter from a 5D Geometric Effective Field Theory

We present the New Lattice Effective (NLE) framework, a candidate theory utilizing a 5D

simplicial geometry (M4 ×S1) and Asymptotic Safety. We refine the phenomenology by

solving for gravitational Dark Matter production during a non-instantaneous reheating

phase. We analytically derive the peak frequency of the Stochastic Gravitational Wave

Background (SGWB). For the Dark Matter-consistent reheating temperature TR ≈9.5 ×1014

GeV, the signal peaks at fpeak ≈570 GHz, targeting future THz-cavity experiments. A

calibrated Monte-Carlo analysis (N= 105) confirms a 2σ viability island for the Radion slope

ϵϕ ≈1.5 ×10−9, robust against mass variations of O(10)