The Big Bang hyperbolic universe neither needs inflation nor dark matter and dark energy
Bibliographic record
Abstract
Although the perspective for nearby objects in hyperbolic space is very nearly identical to Euclidean space (i.e., the universe locally is approximately flat consistent with local observations), the apparent angular size of distant objects falls off much more rapidly, in fact exponentially. The universe is globally hyperbolic as we did prove mathematically [S. A. Mabkhout, Phys. Essays 25, 112 (2012)]. Such a solution predicts the equation of state of cosmology p = - ρ . The hyperbolic structure of the space causes the accelerated expansion of the universe equivalent to its negative pressure, without need for dark energy. The dark matter halo is nothing but instead of it we have a cell of same hyperbolic negative curvature as the negative curvature of the whole hyperbolic universe. The Virial theorem ( M = V 2 R / G ) does no longer hold for non-Euclidean space. We developed the equation of motion in the hyperbolic space-time V = e - μ / r μ ( 2 / r - 1 / a ) that describes the speed up motion in the hyperbolic space-time and predicts the flat curve. Galaxies farthest away from the center are moving fastest until they have reached a large distance from the center, the space-time turns flat, and they possess hyperbolic trajectory: V = μ ( 2 / r - 1 / a ) , according to the Vallado theorem, with constant speed called hyperbolic excess velocity V ∞ = - μ / a that can explain the galaxy flat rotation curve problem, where a is the negative semi-major axis of orbit's hyperbola. Instead of the unphysical inflation epoch, the hyperbolic universe grows exponentially, preserves a legitimate inflation, and covers the current observed large structure (1028 cm).
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How this classification was reachedexpand
Full frame machine prediction
Teacher imitationNot calibrated prevalence, not ground truth. Human validation pending. The Gemma side is a direct model label for every work in the frame, read from the title-only record. The Codex side is a classifier learned from the 10,348 direct Codex labels and calibrated to design-weighted sample rates; fields without enough sample support carry no Codex call. Candidate is the union of the two sides; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels.
Distilled classifier scores by category (both heads)
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.000 | 0.001 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 0.000 |
| Bibliometrics | 0.000 | 0.000 |
| Science and technology studies | 0.001 | 0.005 |
| Scholarly communication | 0.002 | 0.003 |
| Open science | 0.000 | 0.001 |
| Research integrity | 0.001 | 0.002 |
| Insufficient payload (model declined to judge) | 0.004 | 0.002 |
Machine scores (provisional)
The two teacher heads of the student model, read on this work. A score orders the frame for review; it never asserts a category, and the validation status ships verbatim with every row.
Baseline scores from an immature model (maturity gate not passed, 7 training rounds). Scores rank; they never assert a category.
score_only:v0-immature-baseline · verbatim from the scoring run: score_only means the number may rank works, and no category label ships from itClassification
machine, unvalidatedMachine predicted; a candidate call from one source (direct Gemma or distilled Codex), not a consensus.
How this classification was reached, model by model and score by score, is at the end of the page under "How this classification was reached".