A Derivation of the CMB Temperature from Atomic Constants, the Heisenberg Uncertainty Principle, and the Landauer Limit V8: the formula predicts D=3 spatial dimensions as the unique solution

Q: What does this research mean for the field?

The temperature of the Cosmic Microwave Background can be expressed as T_CMB = 2.72548 K using only atomic constants and the factorial 5!. Novelty: ClaimNovelty.NOVEL_FINDING. Consensus alignment: ConsensusAlignment.NEUTRAL.

Judicael Brindel

doi:10.5281/zenodo.18847690

March 3, 2026Open Access

A Derivation of the CMB Temperature from Atomic Constants, the Heisenberg Uncertainty Principle, and the Landauer Limit V8: the formula predicts D=3 spatial dimensions as the unique solution

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Key Points

The main aim is to derive the temperature of the Cosmic Microwave Background using atomic constants and principles from physics.
Derived temperature based on atomic constants: hbar, m_e, a_0, k_B, alpha, and the factorial 5!
Set equal the Heisenberg minimum energy to the Landauer minimum thermal energy.
Calculated temperature to five significant figures.
Cosmic Microwave Background temperature predicted as T_CMB = 2.72548 K
Achieved error margin of 0.000194% from the predicted value
Identified D=3 spatial dimensions as the unique solution to the derived formula

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Implication

Numerical observations derive cosmic microwave background temperature using atomic constants, suggesting unique dimensionality.

Abstract

We report a numerical observation: the temperature of the Cosmic Microwave Background (T_CMB = 2.72548 K) can be expressed to five significant figures using only atomic constants — hbar, m_e, a_0, k_B, alpha — and the factorial 5!. The formula emerges from setting equal the Heisenberg minimum energy and the Landauer minimum thermal energy. Error: 0.000194%. No theoretical derivation is offered.

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Judicael Brindel (2026) studied this question.

synapsesocial.com/papers/69a91e57d6127c7a504c24e3 https://doi.org/10.5281/zenodo.18847690

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A Derivation of the CMB Temperature from Atomic Constants, the Heisenberg Uncertainty Principle, and the Landauer Limit V8: the formula predicts D=3 spatial dimensions as the unique solution

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Abstract

Discussion

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A Derivation of the CMB Temperature from Atomic Constants, the Heisenberg Uncertainty Principle, and the Landauer Limit V8: the formula predicts D=3 spatial dimensions as the unique solution

Key Points

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Abstract

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Cite This Study

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