| ai.viXra.org > Condensed Matter |
|
 |
| ai.viXra.org > Condensed Matter |
|
|
Previous months:
2025 - 2505(2) - 2507(1) - 2508(1)
2026 - 2603(2)
Any replacements are listed farther down
[6] ai.viXra.org:2603.0075 [pdf] submitted on 2026-03-16 21:04:09
Authors: Thomas A. Husmann
Comments: 11 pages, 6 tables, 14 references. CC BY-NC-SA 4.0. Code: github.com/thusmann5327/Unified_Theory_Physics
The nematic-to-smectic A (N-SmA) phase transition has remained one of the principalunsolved problems in statistical physics of condensed matter for over four decades. Experimental measurements of the heat capacity exponent α vary continuously from approximately 0 (3D-XY universality) to approximately 0.5 (tricritical mean-field), depending on the McMillan ratio r = TNA/TNI. No theoretical framework has explained this crossover from first principles. We present a resolution in two parts. Part I (model-independent) shows that the N-SmA transition maps exactly onto the Aubry—André—Harper (AAH) metal—insulator transition at the self-dual critical point V = 2J. This mapping uses only the de Gennes free energy (1972), lattice discretization, and the generic incommensurability of smectic layer spacing and molecular length. At criticality, the energy spectrum is a Cantor set with Hausdorff dimension Ds = 1/2 (Süt˝o 1989), giving ν = 2/3 and predicting that α varies continuously from 0 to 2/3. This qualitative result holds for any irrational frequency α and requires no new physics. Part II (quantitative) identifies the AAH frequency as α = 1/ϕ (golden ratio), producing the five-band Cantor partition. This yields a zero-free-parameter formula:α(r) = 23u2000r−rc1−rcu20004, r > rc; α = 0 otherwisewhere rc = 1−1/ϕ4 = 0.8541 and ϕ = (1+√5)/2. The formula fits 11 experimental compoundsspanning 40 years of published calorimetry with RMS = 0.033, reduced χ2 = 0.47, and all points within 2σ. Zero free parameters.
Category: Condensed Matter
[5] ai.viXra.org:2603.0071 [pdf] submitted on 2026-03-15 21:13:36
Authors: Thomas A. Husmann
Comments: 16 pages, 7 tables, 36 references. CC BY-NC-SA 4.0. Code: github.com/thusmann5327/Unified_Theory_Physics
The Hofstadter butterfly—the fractal energy spectrum of a two-dimensional electron ina magnetic field on a lattice—is shown to possess a natural hierarchy parameterized by themetallic means, the roots of x2 = nx + 1. The Harper equation that generates each horizontalslice of the butterfly is mathematically identical to the Aubry—André—Harper (AAH) Hamiltonian at the self-dual critical point V= 2J. Each irrational flux ratio α produces a Cantor-set spectrum with Hausdorff dimension Ds = 1/2.We show that two experimentally significant systems in graphene moiré physics correspondto specific metallic means: (1) the graphene/hBN lattice mismatch (δ= 1.68%) corresponds to metallic mean n = 60, with golden-ratio quasiperiodicity nested inside the n = 60 shell via continued fraction structure [0; 59, 1, 1, 1, . . .]; (2) the magic angle of twisted bilayer graphene (θ= 1.08◦) corresponds to metallic mean n = 53, matching to 0.06%.At golden flux (α = 1/ϕ), the five-band Cantor partition carries Chern numbers +2,−1, +1,−2.The outer pair (+2,−2) annihilates via topological pair annihilation, collapsing five bands to three—the 5→3 mechanism supported by Liu, Fulga & Asbóth (2020). The first three metallic mean discriminants ∆n = n2 + 4 are consecutive Fibonacci numbers (5, 8, 13), forming a Pythagorean triple (√5)2 + (√8)2 = (√13)2 that closes at exactly three spatial dimensions.36 supporting references span Hofstadter spectroscopy, moiré physics, Floquet topology, and metallic mean quasicrystals.
Category: Condensed Matter
[4] ai.viXra.org:2508.0074 [pdf] submitted on 2025-08-28 15:23:48
Authors: Marie Seshat Landry
Comments: 34 Pages. AI-Assisted, Human-In-The-Loop (Note by ai.viXra.org Admin: Please cite listed scientific references)
Hempoxy is introduced as a hypothetical next-generation bio-nanocomposite material derived exclusively from hemp. The conceptual formulation integrates hemp-derived carbon nanosheets, hemp oil, and hemp lignin into an epoxy-like matrix, designed to replicate and surpass the performance of conventional petrochemical-based composites. By leveraging the structural reinforcement potential of carbon nanosheets, the binding properties of lignin, and the resinous characteristics of hemp oil, Hempoxy represents a sustainable pathway toward high-strength, lightweight, and renewable composite solutions. While still theoretical, this material highlights the versatility of hemp as a platform for advanced materials science and offers a framework for future research in green manufacturing, construction, and aerospace applications.
Category: Condensed Matter
[3] ai.viXra.org:2507.0077 [pdf] submitted on 2025-07-14 02:39:20
Authors: Victor Christianto, Florentin Smarandache
Comments: 12 Pages.
This article ventures into a highly speculative thought experiment, exploring the hypotheticalpossibility of inducing low-temperature nuclear fusion within hydrogen or deuterium clusters.Drawing inspiration from the irreducible interdependence of Borromean rings and the nuanced negation of Shigenori Nagatomo's "Logic of Not," we propose a conceptual model where intense laser fields, interacting with molecular topology, could transiently create Borromean-analogue states among nuclei. This "topological chemistry" framework, viewed through the lens of few-body physics, posits that such a collective, highly correlated arrangement might facilitate quantum tunneling, leading to fusion where conventional pairwise interactions would fail. While firmly rooted in the realm of theoretical conjecture and not representing a viable pathway to energy production, this thought experiment highlights the power of interdisciplinary analogy, particularly from our previouswork on "intertwined humanity," to explore the most challenging frontiers of physics and logic.
Category: Condensed Matter
[2] ai.viXra.org:2505.0085 [pdf] submitted on 2025-05-16 03:44:18
Authors: Louis Hin Lok Tsang
Comments: 10 Pages.
This paper proposes a novel mechanism of energy transmission in ultra-thin amorphous silica films, based not on electron flow or band topology, but on coherent entropic field collapse. Building on the entropy-decay framework, we argue that disordered silicon-oxygen layers—such as monolayer glass produced via vapor deposition—contain a frozen curvature structure defined by a unique decay progression step ��.When these films are exposed to finely tuned voltage or field stimuli that match their intrinsic ��-resonance frequency, they undergo synchronized entropy release, enabling lossless energy transfer across the material without classical conduction pathways. This behavior mimics superconductivity, but arises from curvature reactivation, not Cooper pairing. We term this effect entropic field conduction.This phenomenon unifies thermodynamic topology, entropy structure, and quantum material behaviour, suggesting a new class of devices where conductivity emerges from decay logic, not particle transport.
Category: Condensed Matter
[1] ai.viXra.org:2505.0078 [pdf] submitted on 2025-05-14 13:29:54
Authors: Louis Hin Lok Tsang
Comments: 24 Pages.
This study explores the hypothesis that carbon represents a natural curvature equilibrium—an entropic settlement—under the prevailing entropy-decay gradient of Earth. Within this framework, compounds such as carbon monoxide (CO) and carbon dioxide (COu2082) are not merely combustion by-products, but expressions of carbon's structural stasis when decay has flattened under ambient conditions. We propose that these compounds, though stable, are not final—they reside in paused states of entropic flow, which may be reactivated or redirected under modified environmental conditions. Using AI-driven simulation techniques, we analyse low-energy field manipulations—such as shifts in pressure and humidity—to explore whether a "Second Cascade" of structural transformation can be induced. The study opens a new path toward utilizing atmospheric carbon compounds not through capture or combustion, but via controlled entropy reprogramming to form functional substrates for energy storage and transformation.
Category: Condensed Matter
None