Open research library
Papers you can read, cite and question
728 papers from the QNFO program, filed on nine shelves by the reader each one is written for: energy per answer, error correction, physics, numbers and p-adics, logic and formalism, AI and knowledge, autonomous systems, assessments, and cross-cutting essays. Every page renders its mathematics and can be questioned in place. How a living paper works.
Looking for an answer rather than a paper? Ask the whole corpus: answers cite the papers they come from.
Results for “thermodynamic” 9 papers
The Ultrametric Program: One Structural Object Across Seven Research Domains, and Its Falsifiable Tests
Seven research domains — ultrametric physics, the laws of form, infomatics, paradigm engineering, consilience research, a cloud-native platform, and interactive demos — are claimed to be seven vocabularies for one structural object: a nested, hierarchical partition logic. The object is defined by…
The Self-Referential Scalar Family: e, the Half-Turn, and the Unification of Information Theory, Statistics, Thermodynamics, and QND Measurement in the Adelic Picture
Standard information theory measures uncertainty at the archimedean place; the adelic program extends it to all completions of the rationals, carrying a p-adic valuation entropy alongside Shannon entropy. This paper shows that the two most familiar distributions of statistical mechanics are already…
Kappa/SIIT Cross-Validation: Exact Reproduction of Standard Model 1-Loop β-Functions and Resolution of the Harmonic-Paradigm Tension
We report a direct mathematical cross-validation of the Kappa / Scale-Invariant Information Thermodynamics framework (Quni-Gudzinas, 2025, the QNFO archive 17218944/17230397) against the Standard Model's known 1-loop renormalization-group β-functions. Through the single definition…
Infomatics: An Axiomatic Framework for Information as Fundamental Substrate
We present a synthesis of three established research programs — the holographic entropy bound, thermodynamic gravity, and the finite-dimensional Hilbert space constraint — into a unified informational framework for physical law. The framework's core claim is that entanglement entropy in any finite…
Computational Toolkit for p-Adic Spacetime
The fundamental incompatibility between the continuous manifolds of general relativity and the discrete nature of quantum mechanics remains a central tension in theoretical physics. This manuscript develops and validates a computational toolkit designed to test theories of p-adic spacetime, which…
Arithmetic Gauge Concentration
Analytic number theory traditionally relies on probabilistic models to describe the asymptotic distribution of prime numbers, treating them as independent random variables. However, this approach fails to account for the deterministic rigidity observed in ergodic theory and the spectral statistics…
Dynamic Optimality in Physical and Arithmetic Systems
The selection of an appropriate level of abstraction constitutes a critical and profoundly non-trivial challenge across the entire scientific enterprise. This fundamental problem of representational scale dictates not only the tractability of our models but also their ultimate predictive power in…
Spectral Schism
Standard analytic number theory treats the Riemann zeros as eigenvalues of a Hermitian operator acting on a rigid symplectic manifold. However, the asymptotic diffraction spectrum of the prime numbers exhibits fluid-like Lebesgue measure rather than the crystalline Bragg peaks required for such a…
Topological Quantization and Spectral Filtration
This paper addresses the geometric crisis in discrete computation by establishing a unified framework that synthesizes arithmetic topology, non-linear dynamics, and thermodynamic optimality. We posit that prime numbers behave as irreducible topological knots within a three-dimensional state space, a…
New papers by email
One short weekly digest: titles and links. No tracking; unsubscribe any time.