Qaether 연구일지

격자 Qaether 이론에서 출발하여 연속 극한 → Spin(3,1) 테트라드/스핀 연결 도입 → Palatini 1차 형식 작용 → 변분원리 → Gibbons–Hawking–York 경계항 → 물질부 포함 → Einstein 방정식 도출에 이르는 전 과정을 단계별·세부적으로 기술했습니다. 1. 격자 Qaether 이론과 총 작용격자 셀 라그랑지안각 격자점 \(i\)에서 $$\mathcal L_{\rm Qaether}(i) = \mathcal L_{\rm Kinetic} + \mathcal L_{\rm Gravity/Mass} + \mathcal L_{\rm Gauge} + \mathcal L_{\rm Fermion}$$ A1–A8에서 정의된 SU(2) 쿼터니언 \(\mathbf q_i\), 국소 압력 ..

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..