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The various successes of Milgrom's MOND have led to suggestions that itscritical acceleration parameter $a_0 \approx 1.2\times 10^{-10}\,mtrs/sec^2$ isa fundamental physical constant in the same category as the gravitationalconstant (for example), and therefore requiring no further explanation. Thereis no independent evidence supporting this conjecture.  Motivated by empirical indications of self-similarities on the exterior partof the optical disk (the optical annulus), we describe a statistical analysisof four large samples of optical rotation curves and find that quantitativeindicators of self-similar dynamics on the optical annulus are irreduciblypresent in each of the samples. These symmetries lead to the unambiguousidentification of a characteristic point, $(R_c,V_c)$, on each annular rotationcurve where $R_c \approx f(M,S)$ and $V_c \approx g(M)$ for absolute magnitude$M$ and surface brightness $S$.  This opens the door to an investigation of the behaviour of the associatedcharacteristic acceleration $a_c \equiv V_c^2/R_c$ across each sample. Thefirst observation is that since $a_c \approx g^2(M)/f(M,S)$, then $a_c$ is aconstant within any given disk, but varies between disks.  Calculation then shows that $a_c$ varies in the approximate range$(1.2\pm0.5)\times 10^{-10}\,mtrs/sec^2$ for each sample. It follows thatMilgrom's $a_0$ is effectively identical to $a_c$, and his criticalacceleration boundary is actually the characteristic boundary, $R=R_c$, on anygiven disk. Since $a_c$ varies between galaxies, then so must $a_0$ also. Insummary,Milgrom's critical acceleration boundary is an objective characteristicof the optical disk and $a_0$ cannot be a fundamental physical constant.

The statistical signal for Milgrom's critical acceleration boundary being an objective characteristic of the optical disk