EXPLOSIVE DIGIT DYNAMICS, HYPERGROWTH CASCADES AND INFINITE ATTRACTOR BASINS: ARCHITECTURE OF A NEW INTEGER UNIVERSE. (THE FINAL UPDATED PAPER)

We investigate a previously undocumented integer transformation whose explosive behavior places it beyond the known extremes of Collatz-type dynamics. The system operates by (1) squaring each digit of an integer and concatenating the results, then (2) repeatedly compressing the expanded sequence by summing every consecutive triplet of digits whenever the total length remains divisible by three. This deceptively elementary process generates combinatorial shockwaves: numerical structures routinely balloon to hundreds or thousands of digits before undergoing catastrophic collapse into a microscopic attractor set. Across exhaustive computational testing including high-entropy seeds, palindromes, repdigits, ultra-sparse integers and integers engineered to maximize combinatorial explosion, every initial high value eventually converges to a rigid attractor state, most frequently the fixed points 10, 11, 1010, 1110, 1011 and selective hyper ones for example 11111, 1111111111, 1111111111111111111111111111111111 and selective 1-zero-1 forms for example 1000000000000000000000000000000000000000000001 and other attractors such as 10111011, 10101011, 1110111, 1111101011, 10101111, 1010111011, 11101011, 11101110, 1110111011 and other infinitely many attractors. These attractors appear to act as terminal gravitational wells in a discrete dynamical universe whose expansion phases dwarf the growth rates seen in Collatz, Kaprekar or Conway-style integer processes....