Defines coarse representative addition and coarse cell addition on partitioned scales and demonstrates that a rescaled St. Petersburg sequence becomes inert under a suitably chosen countable partition and representative map.
https://arxiv.org/abs/2503.17598
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Absorption and Inertness in Coarse-Grained Arithmetic: A Heuristic Application to the St. Petersburg Paradox
Defines coarse representative addition and coarse cell addition on partitioned scales and demonstrates that a rescaled St. Petersburg sequence becomes inert under a suitably chosen countable partition and representative map.