The Big Bang in EBIKK-β Cosmology: Primordial Gravitational Waves and Regularized Initial State

This paper presents a novel cosmological scenario within the EBIKKβ framework, offering solutions to key problems of standard Big Bangtheory:• Initial singularity resolution via β-regularization • Inflation without scalar fields driven by entropic Tent ln det Gterms• Modified expansion history with testable CMB signatures• UV-complete thermodynamics preserving holographic duality• Primordial gravitational wave spectrum with β-dependent features:– Amplitude suppression at high frequencies (f > β−1/4)– Characteristic turnover at fturn ≈ 10−3β−1/8 HzKey predictions include:• Tensor-to-scalar ratio• Spectral index ns = 0.965 ± 0.004β1/8• Suppressed low-ℓ CMB power (∆Cℓ/Cℓ ∼ 10−6)• Modified B-mode polarization spectrumThe model agrees with Planck 2018 data while providing distinct signatures for future CMB-S4, LiteBIRD, and LISA observations.