Struga Theory (μÏ-Approach) Quantum Gravity with Particle Curvature Without Space Curvature
Abstract
V. Yu. Strugovshchikov
We propose an operational μτ-approach to gravity on a flat background: the gravitational interaction is interpreted as a universal retuning of the particle scale (μ) and the rate of internal clocks ( ). Quanta of space possess real and imaginary parts. The size of each quantum of space is equal to the size of the Universe and has a M �?obius topology. Tensor perturbations (gravitons) propagate along the imaginary parts of the space quanta and, upon intersecting their real parts, induce coherent changes of μ, τ in all fields. In the weak-field regime, the theory reproduces the classical tests of GR (PPN up to 1PN order, lensing, Shapiro delay, equality of EM and GW speeds); in the strong-field regime, it predicts small 2PN deviations, possible “echoes” in black-hole ringdown, and a weak scalar polarization. Within a single framework, several “dark” effects are described simultaneously: dark matter as a BH-bound imaginary-geometric response (including Bullet Cluster–type cases), dark energy as the sum of a vacuum component and the growth of space quanta, and baryon asymmetry as a consequence of a two-sheeted (M �?obius-like) topology. The theory preserves causality and local Lorentz invariance, is formulated as an EFT with controlled corrections, and provides sharp observational tests for near-future experiments.