f（R）变G修正引力中的几种Action和Action变形方案及变G本体论的简要阐述
Several Action and Action Deformation Proposals in f(R) Variable G Modified Gravities and a Brief Expose on Variable G Ontology
摘要：
本说明包括五节。在第二节中，提出了一些美学动机的f（R）拉格朗日函数，并在变牛顿常数G（x）的度量形式中进行了深入的探索。在第3节中，提出了在给定的f（R）引力-物质作用量S中变形项的想法，并在使其极值化之前，通过在少数选定的引力和物质项之间进行代数混合来减少S，而不调用新的场。这样做的结果是在场之间的许多约束方程和从约化作用导出的通常看起来偏心的场方程。第4节的结果与第3节相似，但不同之处在于作用项混合仅在S极值化之后和任何分部积分之前进行。第5节涉及G（x）本体论，其中在标准模型费米子（SMF）的上下文中表达了对G（x）引力的各种个人观点。最后，通过可变光速（VSL）和新的全球洛伦兹变换融合两个上限速度：光速c和一个适当的最大速度在文本中指定给所有质点mo和涉及普朗克质量的SMF减轻重力场效应的前景进行了研究。新的LT与VSL相结合，也容纳了一个家庭的特殊非惯性系的线性运动。（自旋敏感的）时空和动量相关的VSL的建模通过哈密顿形式主义的目的是取消的SMF测试粒子的牛顿引力的影响。我还为变量G建模，以在所有距离（包括零距离）产生有限重力。将引力从SMF秩中剔除（通过VSL加上G（x），或者通过测量SMF引力质量为零），对量子引力、局域超对称性、超弦模型、细夸克（如果有的话）和宇宙学都有巨大的冲击。
英文摘要：
This note includes five sections. In section 2 a number of aesthetically motivated f(R) Lagrangians is proposed and frivolously explored in the metric formalism with variable Newton constant G(x). In section 3 the idea of deforming the terms in a given f(R) gravity-matter action S, and prior to extremizing it, is promoted with the aim of reducing S via an algebraic mixing between few selected gravity and matter terms without invoking new fields. The result of this is a number of constraint equations among the fields and often eccentric looking field equations derived from the reduced action. Section 4 has a similar upshot as section 3 but the difference is the action term mixing is carried out only after extremizing S and prior to any integration by part. Section 5 pertains to G(x) ontology where various personal views on G(x) gravity are expressed in the context of the Standard Model fermions (SMF). The prospect of mitigating gravity field effects for the SMF is investigated at the end via the variable speed of light (VSL) and new global Lorentz transformations fusing two upper speeds: the light speed c and a proper maximal speed given in the text assigned to all point mass mo and involving the Planck mass. The new LT in combination with VSL also houses a family of special noninertial frames in linear motions. The (spin sensitive) spacetime and momentum dependent VSL is modeled via the Hamiltonian formalism with the aim of canceling the effect of Newtonian gravity felt by a SMF test particle. I also model variable G for yielding finite gravity at all distances, including zero. Excising gravity from the SMF rank (via VSL plus G(x), or by gauging to zero the SMF gravitational masses) has epic brunt on quantum gravity, local SUSY, superstring models, leptoquarks (if any) and cosmology.
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