Observational assessment of the viability of de Sitter Gödel de Sitter phase transition

de Sitter–Gödel–de Sitter phase transition (dGd) is a possible geometrical in the very early universe. It induces fluctuations with possibly observable traces on matter and radiation fields. Here we present simulation based dGd to investigate perturbations which could be along standard inflationary cosmic microwave background distribution of large-scale structure. The power spectrum characterized by parameter pair, labeled here as ( $$p_1, p_2$$ ). With Planck observations find $$p_1=0.008^{+0.003}_{-0.008}$$ $$p_2= 0.002^{+0.001}_{-0.002}$$ consistent pure no hint for transition. Also, it estimated future surveys such Euclid SKA can further tighten constraints up an order magnitude probe physics universe much higher precision.