Formulation of gamma rays, gravity and entropy in holographic universe, by using Euler's Beta Function

The formulation of gamma rays, gravity and entropy in holographic universe, by using Euler's Beta Function with a unifying expression asΓ(−α(s ))Γ(−α(t ))/Γ(−α(s )−α(t ))∼exp(Acosmic/4Gℏ)∼L boundary Left: String interaction (gamma rays) via Beta function, Middle: Cosmic entropy from the holographic principle, Right: Information encoding on the cosmic boundary (the "cosmic hologram").Recent ideas (e.g., from quantum error correction and tensor networks) suggest that the bulk spacetime is a form of quantum error-correcting code that emerges from entangled boundary degrees of freedom. Therefore, Euler’s beta function could be seen as one of the mathematical scaffolds encoding interaction rules that sustain the informational fabric of the universe.