雜  誌

生活

  1. 交一個情義的宋朝朋友---邵雍   [皇極經世]
  2. 改變歷史的經濟學家(The Worldly(俗世 ) Philosophers)  Robert L.Heilbroner(1919-2005) [ResearchGate] 社會主義者 [巫和懋 Wu Ho-Mou]

數學

  1. 對稱與不對稱
  2. In GR,the word symmetry is associated to that of isometry,that is a spacetime diffeomorphism that leaves the metric invariant.
    A one-parameter continuous isometry is linked to the existence of Killing vectors. On other side,... [hidden symmetries by Marco Cariglia]
  3. Apollonius of Perga(262-190BC)---Tangencies(how to construct a circle taht's tangent to any three others.
  4. Langlands program ---(1) 數字與方程式的對稱性   (2)modular forms :  infinite symmetries  monster group  Don Zagier
  5. 數論中發現的電磁場的迴響the connection between periods and L-functions [Akshay Venkatesh][ResearchGate] [Yiannis Sakellaridis][Beyond Endoscopy]
  6. Alan Guth: theory of cosmic inflation  What about Killing vector fields ?
  7. 計算Christoffel symbols是一件考驗耐心的事 對metric作Euler equation 求geodesic 再比較geodesic equation 是一個好辦法 看3-phere
  8. the connection is torsion free     compatible with the metric g         
    X is a Killing vector      X is the tangent vector field of a geodesic
  9. 3-sphere的Riemann tensor,Ricci tensor,Ricci scalar搞定,但是Cartan structure equation仍無解
  10. A drop of Water refracting Light   V.I.Arnold   Mathematical Understanding of Nature
  11. Rene Descartes (1596-1650) Gottfried Leibniz (1646-1716) Leonhard Euler (1707-1783)
    笛卡兒的秘密手記---笛卡兒發現了Euler公式 V-E+F=2 嗎 ? [How Euler do it] 2004/6,7   [顛覆對宇宙的認知]

 物理

  1. 在尋找chaotic wave時 找到[chaotic string motion in a near pp-wave limit] pp-wave 是string theory的東西 plane-fronted waves with parallel propagation的縮寫
    pp-wave spacetimes in general relativity are an important family of exact solution of Einstein field equation
  2. 諾貝爾物理獎  探索時間的微小一瞥(tiny glimpses of time---attosecond 十億分之一秒)雷射脈衝( laser puslses)
  3. 九章三號量子電腦 
  4. 量子糾纏與量子相變
  5. Airbus與BMW發起全球量子計算挑戰賽:The Quantum Mobility Quest. 量子運算是未來科技的主流
  6. 一封來自計算物理雜誌的信 [WENO] 來無影去無蹤
  7. 物理學家利用量子力學從無到有中提取能量   Masahiro Hotta(堀田正宏)
  8. 一種新的對稱性震撼了物理學