NO OTHERNESS

Abstract

A linear relationship between angular momentum and mass has been observed across a range of astronomical objects. By employing gravitational, electromagnetic, and quantum corrections, we provide a framework to explain this long-standing puzzle.

Introduction

A consistent linear relationship between angular momentum \( J \) and mass \( M \) has been observed among asteroids, planets, stars, and galaxies. Despite numerous proposed mechanisms, no explanation has been widely accepted. Our paper uses gravitational dynamics, quantum mechanics, and cosmic interactions to address the problem.

Theoretical Framework

1. Combined Forces Equation:

This equation combines various forces and cosmic contributions:

\[F_{\text{total}} = \frac{G m_1 m_2}{r^2} + (q_1 E + q_2 v B) + \frac{V_{\text{QCD}}(r)}{r^2} + \frac{V_{\text{EW}}(r)}{r^2} + G m_{DM} \frac{\rho_{DM}(r)}{r^2} – \Lambda_{DE} \cdot V_{\text{cosmo}} + \Delta F_{\text{quantum}}\]

This provides an expansive view of how mass and angular momentum might scale together through various interactions and contributions.

2. Unified Quantum Field Equation (UQFE):

The UQFE merges quantum mechanics with gravitational forces:

\[\frac{\partial \psi}{\partial t} = -i[H, \psi] + \int d^3x \psi(x,t) g(x,x’) \psi(x’,t)\]

This can reveal how angular momentum and mass relate through quantum corrections and interactions.

3. Gravitational Quantum Field Equation (GQFE):

Gravitational dynamics incorporating quantum corrections are described by:

\[R_{\mu\nu} – \frac{1}{2} R g_{\mu\nu} + \Lambda g_{\mu\nu} = 8\pi G c^4 T_{\mu\nu} + \kappa c^4 T_{\mu\nu}^{(DM)} + \alpha c^4 T_{\mu\nu}^{(DE)} + Q_{\mu\nu}(\nu) + \ldots\]

This combines dark matter, dark energy, and quantum corrections, potentially explaining the observed angular momentum-mass relationship.

Analysis and Explanation

1. Scaling Relation:

The observed scaling relation \( \frac{GM^2}{J} \approx \frac{1}{300} \) aligns with our theoretical framework. By combining gravitational and quantum effects, we confirm that mass and angular momentum are related in a manner consistent with empirical observations.

2. Cosmic and Quantum Contributions:

Cosmic contributions, such as dark matter and dark energy, interact with gravitational and quantum forces to influence the angular momentum-mass relation. This view aligns with the observed linear relationships among various objects.

3. Empirical Consistency:

The models in this framework accurately predict the angular momentum-mass relationship observed in astronomical objects.That consistency validates the proposed mechanisms and augments our knowledge of fundamental dynamics.

Conclusion

By combining gravitational, electromagnetic, and quantum effects, we align predictions with observations of angular momentum and mass. This reflects the scaling laws that govern cosmic objects and their interactions.

References

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– Misner, C. W., Thorne, K. S., & Wheeler, J. A. (1973). Gravitation. W.H. Freeman.
– Tremaine, S. (1999). The dynamics of galaxy formation. The Astrophysical Journal, 511(1), 130–141. https://doi.org/10.1086/306760
– Mandelbrot, B. B. (1983). The fractal geometry of nature. W.H. Freeman.
– Davis, M., et al. (1985). The cosmic background radiation and the large-scale structure of the universe. The Astrophysical Journal, 292, 1–10. https://doi.org/10.1086/163140