Empirical Signatures of the Density-Time Metric: Precise Falsification Criteria for Euclid and LISA

Abstract. This paper establishes the phenomenological falsification criteria for the Theory of the Density-Time Metric (IMZD) / Intrinsic Metric Time Dilation, a comprehensive thermodynamic extension of General Relativity. While the foundational framework unifies cosmological dynamics and quantum mechanical phenomena through a density-dependent lapse function N(ρ), this supplementary work focuses on three strict, testable signatures for upcoming observational data from the Euclid and LISA satellite missions. It is mathematically demonstrated that the IMZD theory enforces specific deviations in the distance duality relation (η≈1.12), in the bispectrum of primordial density fluctuations (fNLvoid≈0.12), and an exponential amplitude damping of gravitational waves ("Dark Damping"). These quantitative predictions are not adjustable parameters but imperative geometric results of the modified field equations, allowing for a rigorous, binary empirical distinction between the cosmological standard model (ACDM) and the IMZD metric.