周期相对论：平坦时空中的引力理论
Periodic relativity: the theory of gravity in flat space time
AI总结：
周期相对论提出时间本质上是周期性的，通过平坦时空和洛伦兹不变加速度统一量子力学与引力理论，并预测黑洞事件视界半径和阴影机制，同时解释引力红移和引力波辐射。
摘要：
周期相对论（PR）使用无弱场近似条件的平坦度规，满足爱因斯坦场方程。PR提出物体的固有时间间隔与构成粒子的多普勒频移之间存在确定性联系，因为时间本质上是周期性的。PR的周期时间是发展量子引力理论的关键参数，该理论认为宇宙始于基本物质中的量子涨落。PR基于动态弱等价原理，将引力质量与相对论质量等同。PR利用通用形式为星系旋转曲线和氢谱能级（包括兰姆位移）提供精确解。本文提出的平坦时空和洛伦兹不变加速度使PR与量子力学统一成为可能。PR预测黑洞事件视界半径为1R_g，阴影由可见光频移至紫外及更高范围产生。PR方程可探测事件视界内。通过引入引力到电磁波形式化中，数学证明了时间的周期性。理论显示电磁波由引力力结合。理论解释了广义相对论预测的引力红移机制，并预测普朗克时期强大的引力辐射。引力波应变幅度通过量子力学形式化推导。引力子质量上限为mg < 1.51 x 10^{-41}eV/c^2。提出了与GW150914相关的伽马射线暴机制。GRB可缩小事件视界。引力辅助的电磁波堆叠在M87黑洞中产生γ射线。
英文摘要：
Periodic relativity (PR), uses a flat metric without weak field approximation. PR satisfies Einstein's field equations. PR proposes a definite connection between the proper time interval of an object and Doppler frequency shift of its constituent particles. This is because fundamentally time is periodic in nature. Periodic time of PR is the key parameter in development of quantum gravity theory in which the universe begins with a quantum fluctuation in the fundamental substance of the universe which is infinite, motionless and indivisible. PR is based on the dynamic weak equivalence principle which equates the gravitational mass with the relativistic mass. PR provides accurate solutions for the rotation curves of galaxies and the energy levels of the Hydrogen spectra including Lamb shift using common formalism. Flat space time with Lorentz invariant acceleration presented here makes it possible to unite PR with quantum mechanics. PR predicts limiting radius of the event horizon of a black hole to be 1R_g and the shadow of a black hole to be due to frequency shift of visible light into ultraviolet and higher range. PR equations can probe inside the event horizon. Mathematical proof of periodic nature of time is presented by way of introducing gravity into the electromagnetic wave formalism. Theory shows that the electromagnetic wave is held together by gravitational forces. Theory explains the mechanism of gravitational redshift predicted by general relativity and predicts powerful gravitational radiation at Planck epoch. Gravitational-wave strain amplitude is derived using quantum mechanical formalism. Bound on graviton mass is mg < 1.51 x 10^{-41}eV/c^2. Mechanism that explains Gamma-ray burst associated with GW150914 is presented. GRB can shrink the event horizon. Gravity assisted EM wave stacking creates $γ$-rays in M87 BH.
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