The Qaether Log

Rectifying Errors in the Foundations of Qaether Lattice DynamicsDuring the ongoing development of the Qaether theory—a framework which seeks to reconstruct fundamental physics from a discrete, phase-based lattice of space itself—I have encountered several foundational errors that call for careful examination and correction. These errors are not merely technical oversights, but structural inconsi..

Below is a self-contained derivation that shows how the electromagnetic (U (1)) gauge field and spin-½ matter emerge from the Qaether axioms and reduce, in the long-wavelength limit \(a=l_p\!\to\!0\), to the ordinary Maxwell and Dirac equations. 1 U (1) gauge link hidden in the phase latticeAxiom A10 defines the gauge-covariant phase difference$$\Delta\phi_{ij}^{\text{tot}} =\bigl(\phi_j-\phi_i\..

1 Identify the gauge–theory degrees of freedom already hidden in the axiomsQaether object Lattice-gauge counterpartLink phase difference \(\Delta \phi_{ij}\)Compact link variable \(U_{ij} ≔ exp (i \Delta\phi_{ij})\)Gauge–covariant link $$\Delta\phi_{ij}^{tot} \equiv (\phi_j - \phi_i) - q_e A_{ij} - g \vec{C} \cdot \vec{A_{ij}}$$U(1) and SU(3) link potentials \(A_{ij}, 𝑈_{ij}^{(3)}\)Plaquette lo..

Below is a compact derivation—starting from the axioms—ofwhy every long-wavelength ( \(\lambda ≫ l_p\) ) excitation of the FCC Qaether lattice obeys a Lorentz-invariant field equation, andhow coarse-graining the same lattice reproduces the Einstein field equations in the infrared. 1 Setup: lattice scales and fieldsLattice spacing \( a \equiv l_p\) (cell radius).Discrete phase field \(\phi_i\) li..

The Axiomatic Framework of Qaether TheoryHere, we present the ten core axioms of the Qaether framework. Each axiom builds upon the previous ones to construct a complete physical and mathematical model, from the fundamental constituents of space to the unified equations of motion. A1. Primordial Entities: The Void and the QaetherThe framework is built upon two fundamental concepts: the Qaether ce..

1. Pyramid 구조 개요정사각뿔 구성4개의 정삼각형 면(trianglet)과 1개의 정사각형 면으로 이루어진 정사각뿔.다섯개 면의 면심(face center)이 서로 연결된 형태. 단, 정사각형의 대각선은 서로 연결 불가2. 단위전하 정의링크(link) 전하위상차 \(\Delta\phi(ij)\)가 존재할 때: 한 링크당 전하 \(q\)위상차 = 0일 때: 전하 0전하 흐름 방향위상(phase)이 높은 쪽에서 낮은 쪽으로 한다.3. 전체 전하 계산 절차Pyramid의 전체 전하를 구하려면 정사각형의 면전하 Q1와 각 정삼각형 면전하 Q2를 파악한 뒤 합산한다.면전하 Q1은 그 면을 둘러싼 네개의 링크전하, 면전하 Q2 은 그 면을 둘러싼 세개의 링크 전하(각각 \(q\) 또는 0)의 합이다.3.1...