Of course there is no special meaning of contiguous in chemistry.
"Contiguous double bonds", in the obscure reference river dug up, merely means double bonds that are next to one another in the carbon chain of an organic molecule, i.e. without a single bond in between, so allenes rather than conjugated systems for example (which have alternating single and double bonds). So contiguous just applies to the conventional way of drawing these molecules.
In fact, these bonds most definitely do NOT touch, as, in a ...C=C=C... allene unit, the 2 π-bonds are perpendicular to one another, e.g if the left hand one has its orbital in the plane of the text, the right hand one will be above and below that plane. Conjugated systems, by contrast tend to align their π-orbitals in the same plane, as this allows the π-electrons to delocalise across all 4 atoms: C=C-C=C also has contributions from C⁺-C=C-C⁻ and C⁻-C=C-C, lowering the overall energy - and leading to some characteristic chemical reactions.
River's a mad troll - but we knew that.