Living in 1887 and listening to these words you would have been convinced that indeed there was no solution to the incompleteness of science. Even scientists themselves could not imagine that chemistry and physics would someday be united. But united they became! It took almost fifty years for the unification to happen, not through a superstitious declaration such as “consciousness conceives, governs, constructs and manifests the world,” (see here, minute marks 1:15:33-1:15:39) but by scientifically investigating the “unsolved mysteries” present at the time: mystery of the glow of hot objects gave rise to the notion of quantum in 1900-1905; mystery of an atom that has a nucleus gave rise to the quantized orbits of the hydrogen atom in 1913; mystery of how atoms radiate led to the wave nature of particles and the quantum theory as we know it today in 1926. And this quantum theory unified physics and chemistry.
Quantum theory not only united physics and chemistry, but via a paradigm shift in biology — which used physics and chemistry techniques to discover the helical DNA — united all science. Chopra et al say that “until reality is united into one whole, science cannot justify its claim to understand nature.” There are two parts to this statement. The first part has been accomplished: reality, that is, everything including life, is the consequence of the spacial configuration of atoms (and subatomic particles) and their interactions.
If by the second part is meant “all of nature,” then science is the first to unclaim that claim. But if Chopra et al are trying to convey the message that science has no justification to claim that it understands nature enough to know how light and atoms interact to make the invention of lasers possible, enough to know how atoms interact among themselves to make the invention of transistors, microchips, and computers possible, and enough about the properties of EMWs to look at the cosmos through infrared, radio wave, x-ray, and gamma ray lenses and understand the universe in a way that was impossible prior the discovery of EMWs, then the second part of the statement is as meaningful as a burp after a course of tandoori chicken!