Observation-Field Feedback and Gravitational Contributions Across Scales: From MLO Meta-Laws to a PODA Realization
Observation-field feedback and observation-induced gravity quantify different contributions of the observation sector. We derive relations for their scale dependence within a physical--observation dual-axis (PODA) realization of MLO relations between laws and their conditions of formation. Field feedback compares differential responses with observation-sector perturbations allowed and frozen on the same background. The gravitational fraction divides the observation-sector active mass by the total active mass of the same solution. Energy and metric variations of a common action determine the two quantities. On stable static branches, the field-feedback derivative separates changes in the probe from rearrangement of the background. The derivative of the gravitational fraction separates motion of the measurement boundary from changes in the internal source. A two-field model with a quartic restoring term allows the inhomogeneous background, response spectrum, and active source to be calculated together. Positive feedback can coexist with negative observation-sector active mass, so feedback strength alone does not determine the gravitational contribution. For this model, two resolvable nonzero spectral components determine the linear parameters through their interaction ranges and relative strengths, provided the normalization is fixed. The third-order conjugate response, or an absolutely calibrated finite-amplitude response, then determines the quartic coefficient when the source excites the observation sector. Numerical calculations test these relations and their convergence under grid refinement. Published instrument-calibration summaries are reproduced; a fit of the two-component signal still requires pointwise data and complete apparatus inputs. Numerical fractions depend on the chosen action, source, boundary conditions, and readout. Their actual values and ordering across macroscopic, mesoscopic, and microscopic regimes remain to be established by independent measurements.
Authors
- Xianwei Meng (ORCID: https://orcid.org/0000-0001-8253-1785)
Publication Details
- Journal
- Preprints.org
- Published
- 2026-10-28
- DOI
- https://doi.org/10.20944/preprints202610.2825.v1
- Primary Topic
- Relativity and Gravitational Theory
- Type
- preprint