The Bitcoin Constant: A Thermodynamic and Praxeological Proof of Perfect Monetary Hardness

Description This study advances the thesis that Bitcoin constitutes the first instantiation of “perfect money,” uniting the desiderata of classical monetary theory with the invariants of physics, computation, and information theory. Unlike gold, whose scarcity is geological, or fiat, whose scarcity is political, Bitcoin enforces scarcity through mathematics and thermodynamics. The paper introduces the concept of issuance entropy $H(M)$, demonstrating that Bitcoin uniquely converges asymptotically toward zero, in contrast with the variable entropy of gold and the discretionary entropy of fiat. It further proposes the Bitcoin Constant $B_c$, defined as the asymptotic elimination of issuance variance, an invariant analogous to physical constants such as Planck’s $h$. Through comparative analysis, thermodynamic modeling, and interdisciplinary synthesis, the paper demonstrates that Bitcoin simultaneously satisfies economic soundness, cryptographic immutability, and empirical falsifiability. Predictions include post-2028 issuance variance below 0.1%, reorganization probability $<10^{-6}$, declining volatility relative to equities, and adoption-linked rises in national savings rates. The implications are civilizational: Bitcoin is not speculative ephemera but a candidate monetary constant. Its reproducibility, falsifiability, and alignment with physics distinguish it from all prior monies. All LaTeX sources, tables, and reproducible code are included in this release. Keywords: Bitcoin, entropy, thermodynamics, praxeology, monetary economics, network science, information theory, sound money, monetary constant. Copyright and Licensing© 2025 Jayasuriya Arachchige Shanaka Anslem Perera. This work is licensed under the Creative Commons Attribution 4.0 International (CC BY 4.0) license. You are free to share, copy, redistribute, remix, transform, and build upon this work for any purpose, even commercially, provided that appropriate credit is given to the author. Citation of this DOI is sufficient for attribution.