The Gaconnet Constants

This paper derives two constants from first principles: the echo-excess constant (ε = 0.1826), representing the minimum generative surplus required for any recursive system to persist, and the resistance constant (r = 1/57π ≈ 0.00558), representing the irreducible cost of maintaining an observing structure across a generative cycle. The generation constant is derived from the product of Feigenbaum’s second constant (α ≈ 2.5029) and the base geometric leakage (1/eφ²≈ 0.0729), where φ is the golden ratio. The resistance constant is derived from the information-theoretic minimum for experiential encoding (57 qubits) and the geometric completion of a full recursive cycle (π). Neither constant is fitted to observational data. Both are computationally verified. The paper demonstrates that these constants, when extended to cosmological scale, produce structural predictions consistent with Planck 2018 data: the ratio of visible to dark matter under standard ΛCDM inference approximates ε (0.185 ≈ 0.1826); the Hubble tension (67–73 km/s/Mpc) is reframed as the bandwidth of observation rather than measurement error; and the generation-to-resistance ratio (ε/r ≈ 33) provides a structural account of accelerating cosmic expansion. Five falsifiable predictions with explicit failure conditions are provided. The paper positions the Echo-Excess Principle as a measurable substrate law with empirical anchors in cosmology, quantum mechanics, and biological observation.