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Results for “topological” 11 papers
Spectral analysis. Spectra, eigen-structures and bounds Tagged papers: 46.
Golden Ratio as the Unique Positive Eigenvalue of a Two‑Step Re‑Entry Operator and Its Physical Resonance Implications
Accurate prediction of spacecraft re‑entry trajectories remains a critical operational challenge for satellite operators and space agencies, as limited radar tracking and sparse measurement data can induce large uncertainties in ballistic‑coefficient estimation. Existing re‑entry models rely on…
Braid Group Representations and Modular Data: Non-Uniqueness, Finite Images, and the Ising Test Case
A central question in the theory of topological order asks whether the braid group representation $B_N$ carried by $N$ non-Abelian anyons uniquely determines the modular data — the $S$ and $T$ matrices — of the underlying topological quantum field theory. We reconcile three lines of analysis into a…
Topological Aliasing and Holographic Readout
URL: https://papers.qnfo.org/papers/topological-aliasing-and-holographic-readout/ Date: 2026-03-23 Version: 1.0 The foundation of modern physical theories relies heavily on the continuous nature of real numbers. This mathematical framework assumes that space and time can be divided infinitely…
Spectral Analysis of Anomalous Diffusion on p-Adic Fractals
The reconcilement of continuous Riemannian geometry with the discrete arithmetic of the integers remains one of the most profound challenges in mathematical physics, particularly regarding the spectral interpretation of the Riemann zeros (Berry & Keating, 1999). While standard diffusion on…
Spectral Dynamics on Bruhat-Tits Trees
The probabilistic nature of prevalent primality tests, such as Miller-Rabin, presents a fundamental limitation where certainty is achieved only asymptotically. This study proposes a deterministic alternative rooted in the non-Archimedean geometry of p-adic numbers, specifically leveraging the…
Computational Benchmark of Geometric and Algebraic Models for Multi-Qubit State Representation
The Bloch sphere provides a powerful yet fundamentally limited geometric model for quantum states, excelling at single-qubit intuition but failing to represent the multi-qubit entanglement that powers quantum advantage. This work addresses the critical tension between the cognitive simplicity of…
Relativistic Topological Superfluid
Standard cosmological models assume a static vacuum energy density, yet this premise conflicts with the renormalization group flow of quantum field theory and the fine-tuning required for dark energy. Simultaneously, high-energy astrophysical observations impose a strict “glass floor” on Lorentz…
REYNOLDS FILTER AND THE OBSERVABILITY OF CHAOS
The transition to turbulence is characterized by universal scaling laws, specifically the Feigenbaum constants, which govern the onset of chaos in nonlinear systems. While these constants are traditionally viewed as topological invariants of the underlying dynamical maps, their observability in…
TOPOLOGICAL HYDRODYNAMICS AND THE SPECTRAL GAP
Standard quantum field theory conceptualizes the vacuum as a probabilistic void, yet phenomenological isomorphism with superfluid Helium-3 suggests a deeper hydrodynamic ontology. While this topological substrate theoretically supports analog computation via vorticity, the practical realization is…
Chiral High-Temperature Topological Processing
By replacing active syndrome extraction with passive topological protection derived from the 25 meV spectral gap of 45-degree twisted Bi-2212, the architecture circumvents the cooling power limitations of dilution refrigeration to enable the monolithic integration of classical control logic at 4…
Topological Signal Processing
The inherent limitations of conventional digital signal processing—specifically the latency and energy bottlenecks imposed by analog-to-digital conversion—represent a critical barrier for next-generation systems like 6G networks. This paper introduces a novel physical computing paradigm that…
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