  We present a signal reconstruction method for zero-knowledge one-way
communication channels in which a receiver aims to interpret a message sent by
an unknown source about which no prior knowledge is available and to which no
return message can be sent. Our reconstruction method is agnostic vis-\`a-vis
the arbitrarily chosen encoding-decoding scheme and other observer-dependent
characteristics, such as the arbitrarily chosen computation model or underlying
mathematical theory. We investigate how non-random messages may encode
information about the physical properties, such as dimension and length scales
of the space in which a signal or message may have been originally encoded,
embedded, or generated. We argue that our results have applications to life and
technosignature detection and to coding theory in general.
