Results 61 to 70 of about 131 (95)

The Prime Synchronization Theorem: An Empirical Scaling Law for Goldbach Partitions and Kuramoto Dynamics

open access: yes
This research presents an empirical framework linking additive number theory with non-linear dynamics. Specifically, it explores the relationship between the distribution of Goldbach prime partitions and the synchronization thresholds ($\Gamma$) in networks of coupled oscillators governed by the Kuramoto model. Methodology: The study utilizes numerical
  +10 more sources

Major Conjectures and Cosmological Tests F; The Cosmological Falsifiability of Goldbach's Even Partition

open access: yes
This paper establishes a theoretical framework based on the axioms of Information Conservation and Computability, translating the Goldbach conjecture (every even integer greater than 2 can be expressed as the sum of two primes) intoan observable cosmological prediction: on the comoving wavenumber grid corresponding to even scales kn ∝ 2n, the large ...
zhou, changzheng, zhou, changzheng
openaire   +1 more source

Additive Partitions and Continued Fractions

open access: yes
. A set S of positive integers is avoidable if there exists a partition of the positive integers into two disjoint sets such that no two distinct integers from the same set sum to an element of S.
Christopher D. Long, Timothy Y. Chow
core  

The Goldbach Quasicrystal: Topological Protection and Scale-Invariance in Prime Partition Networks

open access: yes
This preprint presents a novel network-theoretic approach to the Goldbach Conjecture through computational analysis of the "Goldbach Graph" - a network where even integers are nodes connected by shared prime components in their partitions. We analyze networks scaling from N=6,000 to N=1,000,000, revealing three key structural signatures: (1) Phase ...
openaire   +2 more sources

Goldbach Gap Studies v2 — Empirical Variation of Goldbach Partition Counts up to 10⁶ (Unicode Math Edition)

open access: yes
This paper presents an expanded empirical analysis of Goldbach partition counts G₂(n) for even integers up to 1 000 000. Using a high-precision fast-Fourier convolution method, all unordered prime pairs (p,q) satisfying p+q=n were computed and examined for inter-even variations Δ(n)=G₂(n+2)−G₂(n).
openaire   +2 more sources

A novel and diverse family of filamentous DNA viruses associated with parasitic wasps. [PDF]

open access: yesVirus Evol
Guinet B   +13 more
europepmc   +1 more source

Home - About - Disclaimer - Privacy