Abstract : the conformal flat space-time solutions in electromagnetic and scalar theory are shown, and the indefiniteness of the plane-symmetric solutions and the method for defining a noncontinuous field by the intersection of multi-solutions are demonstrated 文摘:給出電磁場和標量場在共形平直時空中的解,發(fā)現(xiàn)了平面對稱解的不確定性及由多重解的交集來定義一個非連續(xù)場的方法
The one-loop vacuum polarization is calculated for untwisted and twisted scalar fields in a flat space-time with the topology s1 r3 . the effect of vacuum polarization upon photon propagation is considered . it is found that for the untwisted scalar field some photon modes acquire a positive topological mass, thus travelling at a subluminal speed; but for the twisted scalar field some photon modes get an imaginary topological mass and travel at a superluminal speed 本文中我們首先計算了在拓撲結(jié)構(gòu)為s~1r~3的非minkowski時空中扭曲標量場和非扭曲標量場的真空極化,然后考慮了真空極化對光子傳播的影響,我們發(fā)現(xiàn)除了光子的極化方向和傳播方向都垂直于緊致化方向的情形之外,非扭曲標量場的真空極化使所有其他的光子模式都獲得實的拓撲質(zhì)量從而導致這些光子以亞光速傳播;但是,扭曲標量場的真空極化使光子獲得虛的拓撲質(zhì)量以致他們以超光速傳播。
The equilibrium thermal radiation in a flat space-time or a curved space-time behaves like planck black spectrum represented with coordinate quantities . we regard the fact that the radiation from a thermal equilibrium system shows planck black spectrum as a basic physics law, from which it is demonstrated that the transitivity of clock rate synchronization is equivalent to the zeroth law of thermodynamics . the condition of clock rate synchronization is weaker than that constructing simultaneity surfaces . in the space-time satisfying the condition of clock rate synchronization, the zeroth law of thermodynamics is valid . on the other hand, in the space-time where the zeroth law is valid, one can define an identical clock rate 平直或彎曲時空中的平衡熱輻射,表現(xiàn)出用坐標量表示的普朗克黑體譜.把熱平衡系統(tǒng)的輻射具有普朗克黑體譜作為一條基本的物理規(guī)律,以此為基礎(chǔ),論證鐘速同步的傳遞性等價于熱力學第零定律.鐘速同步的條件比建立同時面的條件要弱.滿足這一條件的時空,熱力學第零定律在其中成立.第零定律成立的時空,一定可以定義統(tǒng)一的鐘速