Emergent Gravitation from Vacuum Contraction

The Relativistic Contraction-Shrinking Theory (RKST) presents a fundamental reinter- pretation of the large-scale dynamics of the universe. By formulating a ghost-free scalar-tensor theory within the Horndeski class, it is shown that the gravitational constant G is not a fundamental constant of nature, but rather an emergent quantity arising from the coupling between a microscopic scale (identified with the proton radius rp) and the cosmological Dirac number N . The central result of the theory is the resolution of the cosmological constant problem through an energy partitioning in which vacuum energy is almost completely bound in the matter sector. We demonstrate that the observed accelerated expansion of the universe and the phantom equation-of-state parameter w ≈ −1.05 do not reflect an expansion of space, but rather a universal contraction of the vacuum. While preserving scale invariance and incorporating chameleon screening, the RKST reproduces both the classical solar-system tests of General Relativity and the galactic dynamics of the SPARC sample without requiring dark matter. This marks the transition from a phenomenological description to a causal ab initio field theory.

相对论收缩-缩减理论（Relativistic Contraction-Shrinking Theory，RKST）对宇宙的大尺度动力学开展了根本性的重新阐释。该理论通过在霍恩德斯基类（Horndeski class）框架下构建无鬼标量-张量理论（ghost-free scalar-tensor theory），证明万有引力常数G并非自然界的基本常数，而是由被定义为质子半径rp的微观尺度与宇宙学狄拉克数N之间的耦合所衍生的涌现量。该理论的核心成果是通过能量分配机制解决了宇宙学常数问题（cosmological constant problem）：在此机制中，真空能（vacuum energy）几乎完全被束缚于物质扇区（matter sector）之内。我们证明，观测到的宇宙加速膨胀与幻影状态方程参数（phantom equation-of-state parameter）w≈−1.05，并非反映空间的膨胀，而是真空的全域收缩。在保留标度不变性（scale invariance）并引入变色龙屏蔽（chameleon screening）机制的前提下，RKST无需暗物质（dark matter），即可同时复现广义相对论（General Relativity）的经典太阳系检验结果，以及SPARC样本的星系动力学特性。这标志着研究从现象学描述（phenomenological description）向因果性第一性原理场论（causal ab initio field theory）的转变。