Stumbling Over Hubble Tension: How Primordial Black Holes Lose the Race for Dark Matter ✛ ✎ ✦

Original: "Running into tension: primordial black holes from ultra-slow-roll inflation, spectral running, and the Hubble tension"
arXiv:2606.31362 · 2026-06-30 · arXiv non-exclusive · independent analysis · 1 min
New data: attempting to explain Hubble tension only exacerbates the problems of inflationary models for primordial black hole formation.

An asteroid-mass primordial black hole (~$10^{-16}$ M☉) would have a radius smaller than a proton, yet weigh as much as a mountain. If such objects make up dark matter, several of these microscopic black holes pass through each of us every year, like invisible messengers from the Big Bang.

In Peter Watts' novel Blindsight, primordial black holes are not just background but the key to gravitational anomalies on which the mission's fate depends.

M_{\rm PBH} \simeq \mathcal{O}(1)\,M_\odot \times e^{-2(N_1 - 18)}
The mass of the resulting primordial black hole depends exponentially on the position of the USR feature relative to CMB scales: the closer the feature, the heavier the PBH.
\alpha_s \simeq -12\frac{\beta}{V_0^2} - 36\frac{\delta_\star^2}{V_0^2}
The running parameter α_s is determined by deviations from the inflection point of the inflaton potential and is inevitably negative if the inflaton crosses that point.
Scientists
Alan GuthAlexander FriedmannAndrei LindeGeorges LemaîtreJames PeeblesStephen Hawking
Concepts
early dark energy black hole memory burden mass inflation hubble tension inflation refined inflationary dynamics supermassive black hole growth central engine interaction model inflationary gravitational waves extreme mass ratio inspiral hills mechanism hubble constant measurement eternal inflation primordial black hole five sigma inflationary cosmology dark energy black hole interaction hubble flow wald entropy