Friday, 21 November 2025

Entanglement Origin of Dark Energy

Here, we derive the cosmological constant $\Lambda$ and the dark energy coupling $\alpha_1 \approx 0.23$ from first principles using quantum entanglement theory. The universe is modeled as a holographic quantum computer with $N \approx 43$ degrees of freedom per Planck area, encoded in an $N \times N$ entanglement matrix with eigenvalues $\lambda_k = e^{2\pi i k/N}$ that satisfy Euler's identity $e^{i\pi} + 1 = 0$. The cosmological constant is the energetic cost of maintaining this entanglement: $\Lambda = (8\pi G/c^4) \times (E_{\text{ent}}/V_{\text{universe}})$ where $E_{\text{ent}} = T_c \times S_{\text{ent}}$ with $T_c = M_{\text{Pl}}/\sqrt{N}$ is the quantum rigidity temperature and $S_{\text{ent}}$ the von Neumann entanglement entropy. We find $\alpha_1 = f(N) \times (\log N / N^\beta)$ where $f(N) = 0.918$ is the entanglement fraction, yielding $\alpha_1 = 0.23$ in perfect agreement with observations. This explains why dark energy constitutes 23% of the universe: it is the fraction of energy devoted to maintaining quantum entanglement. The universe is literally a quantum computer maintaining its own entanglement.

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