WHY IS THERE A RYDBERG LIMIT? THE ANSWER IS IN THE SURFACE GRAVITY.
When the proton starts life as a primordial black hole it has a Gm product of 29.690606 and a gravitational radius of 6.60705x10^-16m, which is half the Compton wavelength of the proton, 1.32141x10^-15m.
The surface gravity formula, Gm/r^2 makes the primordial black hole's surface g= 6.801486493x10^31ms. In the above posts it was established that the gravity of the Planck black hole was 1.109439913x10^51ms and that was the gravitational limit equivalent to c.
1.10943991x10^51 divided by 6.801486493x10^31 equals 1.6311727x10^19. The square root of 1.6311727x10^19 is 4.038778144x10^9. 1.32141x10^-15m, the proton Compton wavelength, divided by 4.038778144x10^9 is 3.2718065x10^-25m and it is at this diameter that the surface gravity of a Gm product, 29.6906036, becomes 1.10943991x10^51ms, gravitational c. This means that the radius of the structure must undergo Lorentzian contraction. The limit of this contraction is the Planck limit. Nothing less. The rate of this contraction will be, again, 4.038778144x10^9 which adds up to c multiplied the quantum adjustor, 3.62994678, then multiplied by 29.6906036 and then divided by 8. Incidentally, (32/3.62994678)/(c^3)=3.2718065x10^-25m. When the Gm product, 29.6906036, collapses to the planck limit(radius) it become the proton. The rate of contraction four dimensionally is (4.038778144x10^9)^4 which is 2.660724996x10^38. Multiply this by the proton mass, 1.672623x10^-27kg and you have 4.4503898x10^kg which is the original mass of the primordial black hole otherwise known as 29.6906036. 1.10943991x10^51 divided by c is equal to 3.70069319x10^42, the Planck frequency or the number of Planck lengths that go in to c. It will depend on which measure of G you use but the result will be close to mine either way. This means that 1.10943991x10^51 times G will equal 2(3.700793x10^40). And the reason why we know that is because we know the energy of the proton. mc^2 where m is equal to the proton's mass and is equal to 1.503278563x10^-10 J. You may remember the Rydberg multiplier, 2.9567625x10^32. This is simply the Rydberg frequency, 3.289842731x10^15, multiplied by c^2. Well, if we want the the analogue to that represented by the energy of the proton then all we do is divide the energy, 1.503278563x10^-10 J by (h/c^2) and we get a multiplier of 2.039034x10^40. Multiply by the quantum adjustor, 3.62994678, then divide by 2 and we have 3,700793x10^40. You can see now how Rydberg offers a microscopic insight into the mechanics of the atom. take the proton energy, 1.503278563x10^-10, and divide it by the Rydberg energy, 2.179873869x10^-18 J, and you have 6.895617221x10^7. Divide this into c and you have 4.347229866. Divide this by our quantum adjustor and we have 1.197601707, the Rydberg adjustor. Now divide the Rydberg multiplier, 2.9567625x10^32, by the Rydberg adjustor, 1.197601707 and you have 2.468903x10^32 and then divide this by the quantum adjustor and you have 6.801486x10^31 the surface g of the proton. So the numerical representation of the inner mechanics of the proton will be gxQAxRAx(h/c^2)=Rydberg energy, 2.179873869x10^-18 J. Here, g is surface gravity, QA is quantum adjustor and RA is the Rydberg adjustor. You see now how there is no distinction, at this level of interaction, between gravitational force or any other force. But there is another link in all this that goes way beyond the proton nucleus. Take the above figure, 2.468903x10^32. This number is the Rydberg multiplier divided by the Rydberg Adjustor. It has several other roles in physics. 2.468903x10^32 multiplied c/G equals 1.109439x10^51ms, the limit in surface gravity. So here you can see not only why there is a Rydberg limit but how simply and gracefully it is entwined in some of the most familiar parameters in physics. But there is another feature. (2.468903x10^32)^2 equals 6.095482038x10^64 and this number divided by G becomes 9.136653278x10^74 and this number divided by G becomes 1.369513x10^85 and the square root of this becomes 3.700693179x10^42, which is the Planck frequency. Multiply this by c and you have 1.104399x10^51. You're back where you started. The Primordial Black Hole starts off with an event horizon, diameter equal to 1.32141x10^-15m, with a surface g of 6.801486x10^31ms; it has an inner horizon where g is equal to 1.104399x10^51ms. The Lorentz contraction reduces that to the Planck limit, 4.05049049x10^-35m. The surface g on this side of the surface reverts back to 6.80148x10^31ms but on the other side of the surface is that other dimensional world cut off from this where nothing can go, the limit.