Published February 28, 2026 | Version v3
Preprint Open

Density-Dependent Length Contraction with Angular Spin Torque

Description

A flat-spacetime scalar model where gravity emerges as radial ruler contraction along the line-of-sight: s = max(1 - κ_eff ∫ ρ ds, 0.01), with κ_eff = 7.39 × 10^5 m² kg^{-1} (Gaia DR3 calibrated) scaling as κ_eff ∝ 1/(1 + ρ/ρ_crit)^2, ρ_crit = 10^{-24} kg m^{-3}. Reproduces Milky Way rotation (220 km/s at 8 kpc → 195 km/s at 30 kpc) without dark matter, LIGO strain via density shear, redshift as λ_obs = λ_0 / s. Includes GPS clock match, proposed muonium lab test (Δf ≈ 10^{-10} Hz at 1 atm), and falsifiable predictions: JWST z>5 SN extra stretch, Swarm SAA cosmic-ray spike, NANOGrav nHz background from density variance. Further, spin (angular momentum L = Iω, ω Planck-scale) introduces angular drag on rulers: length contraction is accompanied by a small twist, without invoking curved spacetime. This torque enhances the squeeze effect while preserving the same density parameter κ = 7.39 × 10⁵ m²/kg, adding realism to the model.

All open—no funding.

(full txt open bellow no download in need)

Files

Density-Dependent Length Contraction A Flat-Spacetime Model with Explicit Derivations V2.txt

Additional details

Additional titles

Translated title (German)
Dichteabhängige Längenkontraktion: Ein Modell mit flachem Raumzeit und expliziten Ableitungen V2
Alternative title (French)
Contraction de longueur dépendante de la densité : Un modèle d'espace-temps plat avec dérivations explicites V2
Alternative title (Spanish)
Contraction de longitud dependiente de la densidad: Un modelo de espacio-tiempo plano con derivaciones explícitas V2
Alternative title (Chinese Sign Language)
密度依赖长度收缩:平坦时空模型与显式推导 V2
Alternative title (Japanese)
密度依存長さ収縮:平坦時空モデルと明示的導出 V2
Alternative title (Russian)
Сжатие длины, зависящее от плотности: модель плоского пространства-времени с явными выводами V2
Alternative title (Hindi)
घनत्व-निर्भर लंबाई संकुचन: समतल अंतरिक्ष-समय मॉडल और स्पष्ट व्युत्पत्ति V2
Alternative title (Arabic)
انكماش الطول المتعلق بالكثافة: نموذج الفضاء-الزمن المسطح مع استنباطات صريحة V2
Alternative title (English)
theory of everything
Alternative title (Modern Greek (1453-))
Συμπίεση μήκους εξαρτώμενη από πυκνότητα: Μοντέλο επίπεδου χωροχρόνου με ρητές παραγωγές V2

Dates

Created
2026-02-21
Flat-spacetime scalar gravity model: gravity as local, radial ruler contraction from density gradients (s ≈ 1 - κ ∫ ρ ds, κ = 7.39 × 10^5 m² kg^{-1} from Gaia DR3 Perseus Arm). Reproduces inner/outer rotation curves without dark matter, LIGO h = 10^{-21} from shear projection, redshift via scale mismatch (no tired light). Predictions: JWST z>5 SN stretch, Swarm SAA ray spike, NANOGrav nHz background. Raw version—language unpolished. Full derivations in text, code in appendix.

Software

Programming language
Python
Development Status
Concept

References

  • Karagiannis, B. (2026). Density-dependent length contraction: A flat-spacetime model with explicit derivations (V2)