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Published equation contexts

ρΛnaive QFT estimateρΛobserved  ∼  10120\frac{\rho_{\Lambda}^{\text{naive QFT estimate}}}{\rho_{\Lambda}^{\text{observed}}} \;\sim\; 10^{120}

Why this formula appears here

Quantum field theory predicts that empty space should carry a vacuum energy density set by the ultraviolet scales in the theory — naively, something near the Planck scale. Steven Weinberg’s 1989 review laid out the problem in its modern form: astronomical observations constrain the cosmological constant to be many orders of magnitude smaller than any of the contributions particle theory predicts for it, and the review catalogues five distinct classes of proposed solution, from supersymmetry to anthropic reasoning, none of which he judged fully satisfactory at the time [ 2 ] . The often-quoted headline is that the naive theoretical estimate and the observed value differ by around 120 orders…

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ρΛnaive QFT estimate\rho_{\Lambda}^{\text{naive QFT estimate}}

Symbol rho_Lambda^naive QFT estimate

rhoLo_Lambdana^naive QFT estimate occurs above the fraction bar. The numerator is divided by the entire denominator below it.

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ρΛobserved\rho_{\Lambda}^{\text{observed}}

Symbol rho_Lambda^observed

rhoLo_Lambdaoa^observed occurs below the fraction bar. The quantity above the bar is divided by this expression; zero is excluded as a denominator.

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How to interpret it

With a fixed numerator, increasing a nonzero denominator reduces the fraction.

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Published contexts (1)

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ρΛnaive QFT estimateρΛobserved  ∼  10120.\frac{\rho_{\Lambda}^{\text{naive QFT estimate}}}{\rho_{\Lambda}^{\text{observed}}} \;\sim\; 10^{120}.

Equation 1 · Evolutionary Physics

Fine-Tuning Without a Tuner: Selection Effects in Physics

This mathematical expression combines the displayed quantities; its precise role follows from the surrounding article text.

Quantum field theory predicts that empty space should carry a vacuum energy density set by the ultraviolet scales in the theory — naively, something near the Planck scale. Steven Weinberg’s 1989 review laid out the problem in its modern form: astronomical observations constrain the cosmological constant to be many orders of magnitude smaller than any of the contributions particle theory predicts for it, and the review catalogues five distinct classes of proposed solution, from supersymmetry to anthropic reasoning, none of which he judged fully satisfactory at the time [ 2 ] . The often-quoted headline is that the naive theoretical estimate and the observed value differ by around 120 orders…

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