  Quantum mechanics is one of the most successful theories, correctly
predicting huge class of physical phenomena. Ironically, in spite of all its
successes, there is a notorious problem: how does Nature create a ''bridge''
from fragile quanta to the robust, objective world of everyday experience? It
is now commonly accepted that the most promising approach is the Decoherence
Theory, based on the system-environment paradigm. To explain the observed
redundancy and objectivity of information in the classical realm, Zurek
proposed to divide the environment into independent fractions and argued that
each of them carries a nearly complete classical information about the system.
This Quantum Darwinism model has nevertheless some serious drawbacks: i) the
entropic information redundancy is motivated by a priori purely classical
reasoning; ii) there is no answer to the basic question: what physical process
makes the transition from quantum description to classical objectivity
possible? Here we prove that the necessary and sufficient condition for
objective existence of a state is the spectrum broadcasting process, which, in
particular, implies Quantum Darwinism. We first show it in general, using
multiple environments paradigm, a suitable definition of objectivity, and
Bohr's notion of non-disturbance, and then on the emblematic example for
Decoherence Theory: a dielectric sphere illuminated by photons. We also apply
Perron-Frobenius Theorem to show a faithful, ''decoherence-free'' form of
broadcasting. We suggest that the spectrum broadcasting might be one of the
foundational properties of Nature, which opens a ''window'' for life processes.
