Abstract:
This work proposes a structural relation between two frameworks addressing the crit
ical structure of black-hole regimes from complementary perspectives. The Effective Re
lational Projectability (ERP) approach interprets spacetime geometry not as fundamental
but as a consistent projection of an underlying correlational organization. Within this view,
black-hole formation corresponds to a degeneration of geometric projectability. Indepen
dently, the Thales cascade provides a bounded quantitative diagnostic derived within gen
eral relativity, based on the geometry of constrained sectoral partitions satisfying x +y = 1.
Weshowthat these two constructions can be connected through a nontrivial structural
correspondence. Under a normalized sector mapping, the Thales deficit defines an exact
local bridge to the additive ERP departure from balance. While this does not establish a full
formal equivalence between the two frameworks, it shows that both select the same equi
librium point and admit a local translation between multiplicative and additive measures
of departure from criticality.
When the cascade threshold is derived from the Einstein field equations, it yields a
parameter-free numerical localization of an ERP-type projectability boundary. Illustrative
cases—including binary black-hole inspiral, M87*, and TON 618—show that the combined
ERP–Thales framework provides a physically interpretable and empirically accessible de
scription of approach to strong-gravity critical regimes
Research papers are accepted from all former and current members of the group, but also research papers from external researchers including independent researchers are welcome.
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All types of scholarly material are welcome: preprints, papers, presentations, data, simulations, commentaries, reviews, videos, or conference proceedings, as long as they relate to the core theme of non-standard cosmology and astrophysics.
Who can contribute?
This community is open to independent researchers, interdisciplinary thinkers, and academic scientists alike. We value intellectual curiosity, open inquiry, and respectful dialogue across backgrounds and disciplines.
Open Science, Open Review
In the spirit of open science, no moderation or gatekeeping is applied to submissions, unless if they seem to fall outside the scope of this community. For all submissions, community commenting, open peer review, and critical discussion are encouraged to promote transparency, collaboration, and constructive engagement.
This community brings together research that explores and challenges the assumptions, theories, and interpretations of standard cosmology and astrophysics.
\nWe welcome all contributions that lie outside or question the mainstream paradigms, including alternative cosmological models, alternative solar models, reinterpretations of astrophysical data, and critical examinations of foundational concepts such as the cosmic microwave background, redshift, galactic rotation curves, general relativity, and more. If your work addresses what doesn’t quite “fit” in the standard models, whether theoretically, observationally, or methodologically, it belongs here.
\nOrigin
This community was initiated following DemystiCon 2025: Beyond the Big Bang, a conference on non-standard cosmology and astrophysics organized by DemystifySci and held in June 2025 in Sesimbra, Portugal. The first contribution is the Book of Abstracts from this event, and we warmly invite others working in related areas to share their research here.
Let this be a space for bold ideas, careful questioning, and fresh perspectives on the cosmos.
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