From the book description, I was hopeful that I might gain some fresh insight on cosmology. For the most part, though, this is just one more rendition of the same portrayal of the cosmos that has been out there for decades.
The possible exception to his standard account of cosmological history is the argument that matter goes into and out of existence. If I understand him correctly, Tonelli says that because of these in-an-out-of existence phenomena (virtual particles?) a vacuum is far from empty. I guess this is what he means when he says that matter, as a solid particle, is an illusion. At the heart of the cosmic “stuff,” he argues, lies nothing very much. If there’s a significance to this observation, I didn’t get it. I think it has something to do with a vacuum state and the origin of the big bang with its in-an-out character, where potential matter was given mass - the solid matter seen today as we typically understand matter - by its encounter with the Higgs boson. (1)
There are many loose ends here for me to tie together, but this is not where my focus was with this book. It was, rather, on the standard account of cosmic origins, inflation, and the structure of the cosmos, and especially the role of dark energy. Here, Tonelli relies primarily on the Vera Rubin findings of galactic movement. As a backdrop to her findings, Tonelli writes that “the laws of universal gravitation tell us that close to the galactic centre the velocity should increase with distance,” but Rubin’s “surprising result” was that “At a great distance the velocity remains constant….The peripheral stars of a spiral galaxy…rotate at the same velocity as those closest to the centre.” With this, Rubin concludes that ”galaxies should contain between five and ten times as much matter as we had thought” and, since such matter was not visible, Tonelli states that “her data confirmed the hypothesis about the presence of dark matter in the universe.” From that conclusion, cosmological researchers extended her findings to galactic clusters, and applied her findings to the overall structure of the cosmos (closed, or open [a flat state?]).
Aside from the elusiveness of dark matter despite a decades-long search for it (2), Newton’s first law of motion gets lost. In that law, straight-line motion (inertial motion) is the default position for cosmic movement and gravity is the “accelerating” force that creates deviation from such movement. Seen this way, at least half of the inward movement toward the galactic center is, for lack of a better term, “self-propelled” movement of matter and energy and it is this, and not solely gravity, that explains velocity. (3) Seen another way, while Tonelli writes that without dark matter galaxies would disintegrate, he omits that the inertial motion of gas and dust is toward the galactic center and, therefore, not dependent only on gravitational “attraction.” Is this the reason that dark matter has been illusive?
When it comes to cosmic origins, Tonelli uses gravitational mass (both observable matter and dark matter) to calculate the critical density necessary to keep the universe from contracting - folding back on itself: matter-energy density disperses as it moves away from the big bang (“The greater the universe’s content of mass-energy, the greater the impulse to oppose its expansion, to the point, eventually, of reversing its course.”) He concludes that there is not enough mass to hold back cosmic expansion and, therefore, the big crunch is “conclusively” (4) rejected, in favor of an ever-expanding cosmos that he calls Euclidean or flat: “All the data…agree…about the fact that our universe is flat, with practically zero intrinsic curvature. Space-time is only deformed locally as a result of the presence of massive celestial bodies. The geometry of the universe is Euclidean.”
A few questions flow from this perspective as outlined by Tonelli and others. While Einstein refers to space-time curvature, is that curvature local only, or is there an overall curvature to the universe? (5) The various graphics used to depict the big bang start from a central point and move, linearly, outward in one direction to illustrate the expansion of space-time from a center point. Yet, presumably, the big bang moved outward from a center point in all directions and, thus, by definition, would manifest itself as, largely (with some imperfections), curvature.
If the expansion were flat as Tonelli argues, what then happens to matter-energy density? If it retains more density closer to the big bang, which becomes less dense with outward expansion, would that mean there's an overall density that implies cosmic curvature? Or, alternatively, if matter-energy moves away from the originating point, does it become a big hole where the matter-energy once was, as matter-energy was carried outward and dispersed? Would that also mean that somewhere in the cosmos there’s a large void of nothingness?
When Tonelli talks about cosmic expansion, he ties it to a “scalar particle, the inflaton," which “could have sparked that terrifying exponential expansion which we have called the Big Bang.” So, as the story goes, out of a pre-big bang singularity, the universe exploded, resulting in inflationary expansion, creating an overall uniformity, thereby providing further evidence of a flat cosmos (dispersed, evened-out mass-energy). The flat cosmos theory was also supported by Hubble’s discovery a century ago of an expanding cosmos and, later, such expansion was found to be occurring at ever-faster velocities. The reasons for such is, Tonelli and others say, comes from the “discovery of dark energy” (6), which is problematic because as far as I know dark energy, like dark matter, has not been found. Regardless, in Tonelli’s view, the cosmos is off to never-neverland.
This account raises more questions. Why is there a need for an inflaton (that also has not been found)? In a singularity event, isn’t it likely that the fusion of incompatible quanta is such that they become unhappy, which is to say, more volatile? As the explosion comes from a singularity of sorts, the origin is by definition a point that expands in all directions unless it came out one-side like Mt. St. Helens. Tonelli (and others) do not reference Newton’s first law regarding inertial, straight-line movement from a curved starting point and the lessening effect of gravitational mass as matter-energy moves outward per the inverse square law. Might such progressive distancing from an originating center point explain why matter-energy, increasingly unimpeded by gravity, speeds up, and it is this that explains dark energy's putative effects? And, is it possible, with overall cosmic curvature, that matter-energy curves around itself and returns to the beginning point? (7)
(1) Tonelli writes that “Mass is not an intrinsic property of matter. Rather, mass emerges from an interaction with the Higgs field.” From this discussion of the vacuum, he does not shy away from deeper, metaphysical speculations, though I’m not sure what he is suggesting: Being and non-Being lie at the core of cosmic phenomena, or, with the vacuum, there lies only a void of non-Being?
(2) This makes Tonelli’s “confirmed hypothesis” seem premature. Also see footnote 4.
(3) In Einstein’s formulation, the inertial, straight-line motion of matter and energy is toward the gravitational center, which is a geometric concentration of space-time. In seeing it this way, Einstein removes gravitational “attraction” as a force. The gravitational center does nothing, and the impelling movement comes from matter-energy that follows the geometric properties of space-time. Though this is more than nuance - because it restores inertial motion to its primary position - gravity as an attractive force is nevertheless treated as such almost universally by those who write about cosmology for the general public. For example, while Bertrand Russell understood that gravity was not a force, he explained that the distinction was too complicated to get into and thus, by default, just continued to stick with gravity as an attractive force.
(4) Re “conclusively,” there’s that characterization again, along with “confirmed hypothesis.”
(5) All significant cosmological structures are spherical - moons, planets, stars, galaxies, local groups of galaxies, galactic clusters and superclusters - presumably based on the presence of mass and its effect on space-time. Given this, why would the cosmos as a whole constitute an exception?
(6) Re “discovery of dark energy,” see footnotes 2 and 4.
(7) This doesn’t work if, in the post big bang expansion, a big hole or void is left behind, with all matter-energy being carried outward leaving nothing behind. But if matter-energy is dispersed as it moves outward, this implies that density not only becomes less and less as it moves outward (an open cosmos), but also it increases more and more as it moves back around, assuming overall cosmic curvature, to the originating point (a closed cosmos).