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March 22, 20260 citationsOpen Access

A Non-Riemannian Approach to Spacetime Flow: A Unified Framework for Orthogonal Stress Conversion, Dark Phenomena, and the Hubble Tension

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CTChang-Xing Tsai

Key Points

  • This research aims to present a new framework for understanding spacetime and its implications for gravity and dark matter.
  • Introduces the Stress-Orthogonal Conversion Theory which defines spacetime as a fluid-like substrate.
  • Analyzes the relationship between energy-momentum tensors and orthogonal stress.
  • Examines the role of cosmic voids in balancing metabolic consumption in galactic nuclei.
  • Resolves Hubble tension by considering background flow gradients and energy regulation.
  • Integrates a geometric tension concept for dark matter without requiring new particles.
  • Predicts high-spin black holes will show observable non-linear effects in future experiments.

Abstract

This paper introduces the Stress-Orthogonal Conversion Theory (SOCT), a novel dynamical framework that redefines spacetime as a fluid-like substrate with finite elastic moduli. The core hypothesis suggests that gravity is an emergent flow of this substrate toward "energy-metabolic centers" (black holes) where 3D energy-momentum tensors undergo a 90-degree phase shift into orthogonal background stress. Key contributions of this framework include: Hubble Tension Resolution: The discrepancy in H0 is resolved by accounting for the global background flow gradient and substrate regeneration in cosmic voids to balance metabolic consumption in galactic nuclei. Dark Sector Integration: Converted orthogonal stress persists as a geometric tension (Sₚerp), providing the "Dark Matter" halos observed in galactic dynamics without the need for additional particles. Singularity Avoidance: By allowing energy to transition into an orthogonal dimension before infinite density is reached, SOCT avoids the ring singularities predicted by traditional General Relativity. Empirical Validation: The model derives a time-dilation covariance consistent with GPS observational data, matching combined SR/GR corrections to within 10^-15 precision. Future Predictions: High-spin black holes are predicted to exhibit non-linear "temporal damping" detectable by future VLBI observations. Methodological Note: This research represents a pioneering instance of "Human-AI Collaborative Synthesis". The foundational physical intuition and the SOCT hypothesis were conceptualized by the human researcher (Chang-Xing Tsai), while the mathematical formalization, structural consistency checks, and manuscript synthesis were facilitated by the Large Language Model Gemini. This collaborative "Centaur Model" demonstrates a new paradigm for independent scientific discovery in 2026.

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Cite This Study

Chang-Xing Tsai (2026) studied this question.

synapsesocial.com/papers/69bf390ac7b3c90b18b43398https://doi.org/10.5281/zenodo.19133471
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