What question did this study set out to answer?

The research aims to explore if serial decoding systems converge to a specific information parameter and understand associated thermodynamic aspects.

March 31, 2026Open Access

The Serial Decoding Basin τ: Five Experiments on Convergence, Thermodynamic Anchoring, and the Geometry of Receiver-Limited Throughput

Key Points

The research aims to explore if serial decoding systems converge to a specific information parameter and understand associated thermodynamic aspects.
Conducted five reproducible experiments on serial decoding systems.
Analyzed ribosome throughput and its predictive variables using Monte Carlo techniques.
Examined convergence patterns in relation to evolutionary biology and geometric constraints.
Demonstrated a zero-free-parameter prediction for ribosome throughput at Δ = 0.0004 bits.
Showed significant Monte Carlo basin results (90.5% vs 28.3%, p ≈ 0).
Found evolutionary convergence to K ≈ 23, close to the genetic code's 21.
Achieved asymptotic convergence of τ₂₁ = 4.16 ± 0.19 bits.
Established thermodynamic anchoring at kT with a residual Δ of 0.003 bits.

Abstract

We present five reproducible experiments investigating whether serial decoding systems converge to a finite information parameter. Building on the rate-distortion floor and cross-substrate basin analysis established in companion papers, we demonstrate zero-free-parameter prediction of ribosome throughput (Δ = 0.0004 bits), Monte Carlo basin significance (90.5% vs 28.3%, p ≈ 0), evolutionary convergence to K ≈ 23 (within 2 of the genetic code's 21), asymptotic convergence of τ₂₁ = 4.16 ± 0.19 bits, and thermodynamic anchoring to kT with residual Δ = 0.003 bits. We argue τ is the centroid of a geometric constraint rather than a fundamental physical constant.

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Grant Lavell Whitmer III

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Wind Power Engineering (Japan)

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The Serial Decoding Basin τ: Five Experiments on Convergence, Thermodynamic Anchoring, and the Geometry of Receiver-Limited Throughput

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