Published December 31, 2024 | Version v7
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Resolution of the Vacuum Catastrophe from a New Quantum Scale and the Holographic Principle

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This study addresses the vacuum catastrophe, a significant discrepancy between quantum field theory (QFT) and general relativity (GR) by introducing the Lambda scale, a revolutionary natural system of units incorporating the cosmological constant Lambda, alongside hbar, c, and G. Using dimensional analysis and the Holographic Principle the traditional dominance of the Planck scale is challenged. A new quantum cut-off frequency for zero-point energy fluctuations reproduces exactly the energy density of the vacuum given in GR and aligns with observational data. We derive Lambda directly from first principles, demonstrating its pivotal role in conditioning the vacuum and unifying the gravitational and electromagnetic constants through the fine structure constant. The Lambda scale resolves the vacuum catastrophe and establishes gravity as an emergent thermodynamic phenomenon governed by the holographic principle. A new framework is presented for understanding why the constants of nature have the values they do. This study offers profound implications for cosmology and quantum gravity.

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