In dating systems, atomic dating system (BA/AE) refers to the dating of years either “before” humans were able to “see” atoms , i.e. years "before atomic era" (BA), or years “after” the humans were able to “see” atoms, i.e. years “after atoms” or "atomic era" (AE) years, all years dated in respect to the year 11 Oct 1955, taken as the "zero year", so to speak, which is the date of the first viewing of “atoms” in the eyes of Erwin Muller. [N1] This upgrades things as follows:

(BC/AC) [Exiguus, 525] → (BCE/CE) [Kepler, 1615] → (BA/AE) [Thims, 2020]

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Reforming | Dates
The basic working model, presently, disregarding “year zero” issues and complications, is to simply add or subtract the current year, of whatever calendar is employed in one’s community, e.g. BC/AC or ACM or BCM, of you are Christ-based culture. Hence, in Chicago, the date of 26 Apr 2020 would be atomically dated as “26 Apr 65 AE” (2020 minus 1955) and the year of the presumed publication of Aristotle’s Physics, namely 350BC, would be re-dated as “2305 BA” (1955 plus 350).

Overview
On 11 Oct 1955, Erwin Muller, using a "field ion microscope", of his own invention, viewed tungsten atoms, exclaiming:

“This is it! Atoms, yes, atoms!”
— Erwin Muller (1955), verbal comments after “seeing” an atom, Oct 11

On 28 Nov 2005, the journal of Chemical & Engineering News, in their cover story article “Atomic Imaging Turns 50”, celebrated the 50th anniversary of the viewing of an atom by a human, via a cover image and article written by Mitch Jacoby. [1]

On 25 Apr 2020, in ACM dating system years, Thims, upon waking at about 10:30 PM CST, after sleeping nine-hours, envisioned that it would be good to employ a new “atoms first seen” based dating system in his drafting HCT manuscript, then at the 135+ page level, in possible tentative upgrade from primary intended "before Goethe and after Goethe” (BG/AG), “before Christ myth and after Christ myth” (BCM/ACM), which he was then employing, and possibly in thought a “before Halley’s comet and after Halley’s comet” (BH/AH) dating system, then prefaced or idea-staged, as dating systems to be employed, for “key” dates of importance, began drafting the spacetime logic that a good, non-anthropomorphic, non-mythical, start date, for a physico-chemically neutral dating system, would be the “day” that a human first “saw” an atom. [2]

This new BA/AA dating system has the benefit that it would apply universally. The "day", i.e. light-shined surface-illumination, by revolution around a star, that a CHNOPS+ based thing, first was able to “see”, i.e. photon-electron exchange, the “atoms”, i.e. proton-neutron-electron configured geometries of which it was comprised. The following is a representative image:

This was an event, that had been on the atomic theory timeline from some time, but passing as a noticeable, but trivial event, e.g. the Hmolpedia Erwin Muller article was not started until 26 Apr 2020.

The general idea here being that, on any planet, circling the a star, in the so-called “habitable zone”, the point at which a CHNOPS+ based thing, is able to “see” itself, atomically, would be a “modern” dating system.

Note
N1. (a) The term “atomic dating system”, as of 26 Apr 2020, is not found in either Google or Google Books, aside from one reference in the later to C14 radiocarbon dating.
(b) The “atomic dating system” has thematic similarity to Richard Feynman who suggested the idea of putting “believe in atomic theory” (see: Feynman time capsule wisdom) as the “key” contribution that should go into a time capsule for the future, supposing some type of apocalypse should occur.

References
1. Jacoby, Mitch. (2005). “Atomic Imaging Turns 50” (Ѻ), Chemical and Engineering News, 83(48):13-16, Nov.
2. Thims, Libb. (2020). Human Chemical Thermodynamics — Chemical Thermodynamics Applied to the Humanities: Meaning, Morality, Purpose; Sociology, Economics, Ecology; History, Philosophy, Government, Anthropology, Politics, Business, Jurisprudence; Religion, Relationships, Warfare, and Love (pdf) (I.2: Dating System, pgs. xviii-). Publisher.