Dark Matter and Cosmology in the TQF Framework(v1)

(Version 2 update is Available now. Choose Version 2 for more deep exploration of TQF Dark matter.) We investigate the dark matter and cosmological implications of the TQF framework, formulated as an extension of a grand unified gauge theory based on SU(5) symmetry. The theory contains an ex tended scalar sector with an adjoint field responsible for grand unified symmetry breaking, together with additional singlet scalars. Within this setup, a real scalar field X, stabilized by a discrete Z2 symmetry, emerges as a viable dark matter candidate. The dark matter particle interacts with the visible sector through Higgs-portal interactions of the form (H†H)X2 , which govern the anni hilation processes responsible for setting the thermal relic abundance. Under standard freeze-out assumptions, we derive analytic estimates for the region of parameter space consistent with the observed dark matter relic density. The theory also includes nonminimal couplings between scalar fields and gravity. In particular, the interaction ξXX2R allows the scalar field X to participate in inflationary dynamics in the early Universe. At the level of analytic slow-roll estimates, inflationary constraints can be made compatible with the dark matter sector. The TQF framework therefore provides a unified scenario connect ing grand unified symmetry breaking, scalar dark matter, and infla tionary cosmology. Within the approximations used here, the inferred dark matter mass scale is near the electroweak scale and can be probed by current and upcoming direct-detection experiments as well as col lider searches.