STCT-VOL.14 The True Nature of Dark Matter and Dark Energy: Topological Condensation and Global Repulsion via Weyl Tensor Stress

Key Points

• The aim is to redefine dark matter and dark energy through a new theoretical framework, moving beyond traditional concepts.
• Utilized Seonggil Theory of Composite Torsion (STCT) to formalize dark energy as Global Topological Repulsion.
• Applied Rough Operator Algebra (ROA) to conceptualize dark matter as Topological Condensation.
• Analyzed Weyl tensor properties to derive new understandings of dark matter and dark energy.
• Dark energy is mathematically framed as a Global Topological Repulsion linked to prior universe entropy.
• Dark matter is recharacterized as a Topological Condensation related to resonance frequency interactions.
• New frameworks provide insights into the geometrical interplay of dark matter and energy, reshaping cosmological understanding.