ANNND, let's start.
The introduction begins well enough. The author lays out the current models for the origin of life: Panspermia (the from outer space hypothesis), hydrothermal vents, and RNA world. And it is true that there is no consensus model, though most people lean towards RNA world these days.
That's when he introduces the concept of a gyre out of the blue. A gyre is a spiral formation.
The central idea of this theory is that all physical reality, stretching from the so-called inanimate into the animate realm and from micro- to meso- to macrocosmic scales, can be interpreted and modeled as manifestations of a single geometric entity, the gyre.
Okay, that is some pretty outlandish stuff, but as a good reviewer the idea isn't to reject controversy, but rather, bad methods. If the universe is a manifestation of spiral formations, then he should provide evidence of that.
He lists a great deal of terms which I am not going to try to understand at this point, since I can't put them in context yet. Then, examples.
Throughout history, scholars have used the gyre in their models. For example, in ancient Greece, Democritus posited vortex motion to be a law of nature. In the 16th century, Copernicus modeled planets gyrating around a stellar singularity and Descartes proposed his vortex theory for planetary
motion in the 17th century. The 19th century found Helmholtz rediscovering the Democritean law and Lord Kelvin and Maxwell using the gyre as the basis of different electromagnetic theories. In the early 20th century, Bostick used the gyre in his spiraling helicon fiber model and Thomson proposed that atoms were vortex rings. Many others have promulgated the gyre as core model of nature. Perhaps one reason for their theoretical appeal is that gyres are detectable throughout the cosmic and tellurian realms. Astronomically, galaxies, solar systems, comets, and lunar bodies gyrate. Atmospherically, tornadoes, hurricanes, eddies, and vortex streets are all gyres. Oceanographically, there are seven major gyres. Molecularly, numerous nucleic acid and protein structures—DNA double helix, RNA hairpins, pseudoknots, α-helices, coiled coils, and β-propellers—all gyrate. Cellularly and organismally, shells, horns, antennae, flagellae, and the cochlea all carry a spiral imprint. Given its theoretical pedigree, empirical ubiquity, and dynamic character, the gyre appears, a posteriori, to be a prime candidate for a core model of natural systems.
Right now, I'm thinking
ad hoc ergo propter hoc, but I still haven't seen the rest. I know already from the links in the OP that there is no mathematics in this article, so I'm expecting the explaination to be using the terms he defined in the introduction.