Matter and Æther D as Two Regimes of a Single Cohesion State: Cosmic Core, Cosmological Constant, and a Link to Hawking Radiation (Silentium, Pillar I)

This working paper sets out the first pillar of the Silentium scenario. It explores a structuring hypothesis: that matter and "Æther D" — the diluted regime of the cosmological continuum — are two regimes of a single energetic reality, one concentrating energy as mass and the other distributing it, both converging toward a common fundamental state of maximal cohesion, denoted E. From this symmetry, the text develops an energetic framework linking several elements: a Cosmic Core conceived not as a zero-volume singularity but as an extended state of cohesion with a finite maximal density (≈ 3.9 × 10⁶ J/m³); a reading of the cosmological constant as the residual curvature of this initial finite-radius state, through a dilution factor D; a conjectural link between this architecture and Hawking radiation around compact objects ("Black Cores"); and, at the local scale, a cohesion field C(r) proposed as a candidate origin for emergent gravity. This version (v3.2) adds three stabilized elements: the condition of zero global angular momentum for the final state (J_final = 0), a structured section on the memory of the Cosmic Core (cohesion, matter, Exception), and a dimensional reading of the tension on the factor D. The text does not claim to be a complete theory of cosmology or gravitation, nor a competing theory of general relativity. It gathers equations, hypotheses, order-of-magnitude estimates, acknowledged internal tensions, and a seven-question research programme. Its aim is to propose a structure precise enough to be discussed, corrected, or refuted. English version of the French original (DOI: 10.5281/zenodo.20829886)