Fei Ren

RFW-Orthotope: Self‑Similar Geometry and Vertex‑Tensor Structure

This paper investigates a family of high‑dimensional orthotopes obeying a newly formulated condition termed bisective self‑similarity, which generalizes the well‑known self‑bisecting property of the two‑dimensional $\sqrt{2}:1$ ISO‑A rectangle to $N$‑dimensional Euclidean space....

The RFW Orthotope: A Sandbox Phenomenological Model for Fermion Mass and Charge Discretization

While the Standard Model successfully describes fermion interactions, it lacks fundamental theoretical explanations for the free parameters in the fermion mass spectrum, the fractional charges of quarks, and the origin of the three fermion generations. Within the Higgs--Yukawa fr...

The RFW Orthotope: A Sandbox Phenomenological Model for Fermion Mass and Charge Discretization

While the Standard Model successfully describes fermion interactions, it lacks fundamental theoretical explanations for the free parameters in the fermion mass spectrum, the fractional charges of quarks, and the origin of the three fermion generations. Within the Higgs--Yukawa fr...

RFW-Orthotope: Self‑Similar Geometry and Vertex‑Tensor Structure

This paper systematically studies a class of high‑dimensional orthotopes possessing strict self‑similarity, termed the RFW orthotope. This construction generalizes the self‑bisecting property of the two‑dimensional $\sqrt{2}:1$ rectangle (ISO‑A paper size) to $N$‑dimensional Eucl...

RFW-Orthoplex: Self‑Similar Geometry and Vertex‑Tensor Structure

This paper systematically studies a class of high‑dimensional hyperrectangles with strict self‑similar properties, termed the RFW‑Orthoplex. This construction generalizes the self‑bisecting property of the two‑dimensional $\sqrt{2}:1$ rectangle (ISO‑A paper format) to $N$‑dimensi...

The RFW Orthoplex: A Sandbox Model for Discretized Fermion Masses and Charges

The Standard Model (SM) provides a precise description of fermionic interactions yet cannot fundamentally explain the free parameters of fermion mass spectra and the physical origin of fractional electric charges. Within the Higgs–Yukawa framework, this study develops a minimal g...

Discrete‑geometric phenomenology for Yukawa couplings and the fine‑structure constant

标准模型中,费米子质量由Yukawa耦合常数决定,但这些耦合的模式仍缺乏基本的理论解释。本文暂定提出一个离散几何现象学假说:Yukawa耦合满足yf = 2−k/24,其中k为正整数。这种离散映射旨在作为对实验质量的严格“采样”,而非“拟合”;本质上,我们使用带有明确步骤的对数刻度来测量标准模型粒子的质量。采样公...

Discrete‑geometric phenomenology for Yukawa couplings and the fine‑structure constant

标准模型中,费米子质量由Yukawa耦合常数决定,但这些耦合的模式仍缺乏基本的理论解释。本文暂定提出一个离散几何现象学假说:Yukawa耦合满足yf = 2−k/24,其中k为正整数。这种离散映射旨在作为对实验质量的严格“采样”,而非“拟合”;本质上,我们使用带有明确步骤的对数刻度来测量标准模型粒子的质量。采样公...

24 Dimensional Leech Lattice Kissing Number Projection Set and Additive Mirror Symmetry Network

This work documents several number‑theoretic projection and additive mirror‑symmetry‑related observations for a finite integer set. The integer set K={12,23,34,39,141,171,182,268,273,329,376,403,453,487,697} is produced by means of a parameter‑free, pre‑specified sampling procedu...

24-Dimensional Orthogonal Framework for Fitting Microscopic Particles

Abstract: This paper presents a geometric model based on a 24-dimensional orthogonal framework for fitting microscopic particles. The model employs only a very small number of discrete parameters to calculate the masses of 15 elementary particles and 15 composite particles, yield...