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Research Paper
We introduce G-walk nucleonics: the application of orbit-occupancy theory to nuclear reactions. The state of a nucleus is represented as an orbit-occupancy vector on the shell-model single-particle levels, and elementary nuclear reactions are ISA opcodes acting on : FLIP (neutron/proton capture), FLOP (-decay), SPLAT (fusion), SPLIT (fission), TWIST (nuclear isomerism), and ORBIT (closed reaction cycle). Three zero-parameter benchmarks are demonstrated. (i) All seven established nuclear magic numbers (2, 8, 20, 28, 50, 82, 126) are identified as tropical vertices of the nucleon orbit-occupancy register — orbit-complete configurations at large single-particle energy gaps — by direct analogy with noble-gas stability in chemistry (7/7). (ii) The rate-limiting step of the CNO stellar fusion cycle is correctly identified as the capture from the minimum log-rate criterion , without nuclear structure calculation. (iii) The three r-process abundance peaks at are predicted as tropical fixed points of the FLIP/FLOP dynamics at magic neutron numbers , with (3/3). In the Maslov–Gibbs Einsum framework, the peak location is the tropical fixed point (zero parameters); the peak width is controlled by the inverse temperature at r-process conditions. The quark model and lattice QCD describe sub-orbit structure; G-walk nucleonics describes which orbit is occupied — the same coarse-graining that makes G-walk chemistry a replacement for DFT in coordination chemistry, now applied one level deeper in the hierarchy of matter. The lanthanide production responsible for kilonova reddening in GW170817 is the fingerprint of the tropical fixed point confirmed by gravitational-wave astrophysics without any parameter fitting. Keywords nuclear shell model, magic numbers, tropical geometry, orbit occupancy, CNO cycle, r-process nucleosynthesis, stellar nucleosynthesis, kilonova, GW170817, Origami ISA, Maslov–Gibbs Einsum, beta decay, nuclear fusion, nuclear fission, isomerism, Fano plane, TRS framework
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This is a preprint publication or lacks formal peer review. It is part of the research pipeline but needs caution.