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ZENODO
Preprint . 2026
License: CC BY
Data sources: ZENODO
ZENODO
Preprint . 2026
License: CC BY
Data sources: Datacite
ZENODO
Preprint . 2026
License: CC BY
Data sources: Datacite
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Macro-Economics and Sociological Fractals

Authors: Washburn, Jonathan;

Macro-Economics and Sociological Fractals

Abstract

Recognition Science derives the structure of physical reality from the cost functional J(x) = 1/2(x + x^-1) - 1. This functional is literally an economic object: it prices deviations from equilibrium, it is minimized by trade, and its conservation law constrains feasible reallocations. We show that the mathematical framework already proved in the Lean 4 formalization, dissipation channels, channeled feasibility, complexity measures, channel refinement, halting bounds, is not merely analogous to economics. It IS economics, read at the scale of human institutions rather than particles. We establish an explicit dictionary between the RS physics formalization and economic theory, then derive three classes of testable predictions: phi-Scaling of Organizations (Section 5): Self-similarity of hierarchical institutions forces the golden ratio phi approx 1.618 as the optimal scaling factor between organizational levels. Optimal team size approx 5, department approx 8, division approx 13—the Fibonacci sequence. J-Bounded Market Clearing (Section 6): The time for a market to clear (reach equilibrium) is bounded by Tmax = D0/delta, where D0 is the initial market disequilibrium and delta is the minimum per-transaction friction. Conservation-Constrained Wealth Distributions (Section 7): Log-charge conservation constrains feasible wealth redistributions, predicting that the geometric mean of wealth is invariant under balanced trade, and that Pareto-like tails emerge from channeled equilibrium. No new mathematics is introduced. Every theorem cited is already machine-verified in Lean 4. The contribution of this paper is the interpretation: reading the existing formalization as an economic theory and extracting its empirical content.

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average
Green