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Gamma rays from TeV blazars have been detected by ground-based experimentsfor more than two decades. We have collected the most extensive set of archivalspectra from these sources in order to constrain the processes affectinggamma-ray propagation on cosmological distances. We discuss our results on thediffuse photon field that populates universe, called the extragalacticbackground light, on the expansion rate of the Universe, and on fundamentalphysics in the form of axion-like particles and Lorentz-invariance violation.Specifically, we present a spectrum of the extragalactic background light from0.26 to 105 microns constructed from the gamma-ray observations, we measure avalue of the Hubble constant compatible with other estimates, and we constrainthe energy scale at which Lorentz-invariance violation impacts gamma-rayabsorption by the extragalactic background light to be larger than sixtypercent of the Planck scale.

Gamma-ray cosmology and fundamental physics with TeV blazars: results from 20 years of observations