A Derivation of the CMB Temperature from Atomic Constants, the Heisenberg Uncertainty Principle, and the Landauer Limit V9: the duality condition from the quadratic Casimir of O(D+1)

Key Points

• To explore how atomic constants and principles of quantum mechanics can be used to calculate the temperature of the Cosmic Microwave Background.
• Utilized numerical methods to derive temperature formula
• Applied atomic constants: hbar, m_e, a_0, k_B, alpha
• Set Heisenberg's minimum energy equal to the Landauer minimum thermal energy
• CMB temperature calculated as T_CMB = 2.72548 K
• Achieved a precision of five significant figures
• Demonstrated a minimal error of 0.000194%