What question did this study set out to answer?

The research aims to redefine spatial flatness in cosmology through the Topological Invariance Principle, arguing for its fundamental nature in Einstein-Cartan gravity.

June 12, 2026Open Access

The Topological Invariance Principle: Dark Energy as a Geometric Constraint of Spatial Flatness in Einstein-Cartan Cosmology

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The research aims to redefine spatial flatness in cosmology through the Topological Invariance Principle, arguing for its fundamental nature in Einstein-Cartan gravity.
Propose the Topological Invariance Principle as a new geometric gauge postulate.
Use observational input for Ω_spin and implications of TIP in cosmological scenarios.
Analyze qualitative predictions like geometric dark energy and cosmic birefringence.
Ω_K is posited as a conservation law rather than merely a fitting parameter of cosmological models.
The framework suggests that global spatial flatness is intrinsically related to fundamental laws of spacetime.
Observed values indicate a range for spin-injection amplitudes consistent with QCD thermodynamics.

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Implication

Randomized trial explores geometric constraints of spatial flatness, suggesting a new cosmological framework.

Cite This Study

Pascal Fichant (2026) studied this question.

synapsesocial.com/papers/6a2ba2f68101cf8926f01cdf https://doi.org/10.5281/zenodo.20633016

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The Topological Invariance Principle: Dark Energy as a Geometric Constraint of Spatial Flatness in Einstein-Cartan Cosmology

Key Points

Discussion

Implication

Cite This Study

The Topological Invariance Principle: Dark Energy as a Geometric Constraint of Spatial Flatness in Einstein-Cartan Cosmology

Key Points

Discussion

Implication

Cite This Study

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