Aurkibidea: :: Library Catalog

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Xehetasun bibliografikoak
Egile nagusia:	Feng, Yukun
Formatua:	Recurso digital
Hizkuntza:
Argitaratua:	Zenodo 2025
Gaiak:	macroscopic Planck constant Global Angular-Momentum Neutrality two-form geometry anti symmetric two-form field Yukawa-modified gravity galaxy rotation curves geometric hierarchy mechanism Lagrange multiplier λ
Sarrera elektronikoa:	https://doi.org/10.5281/zenodo.17975232
Etiketak:	Etiketa erantsi Etiketarik gabe, Izan zaitez lehena erregistro honi etiketa jartzen!

Aurkibidea:

In the course of developing the framework of Quaternion Angular–Momentum Gravity (QAMG), we have arrived at a geometric structure centered on global angular–momentum neutrality (GAN) and an antisymmetric two–form field Bµν. This structure is designed to complement the curvature–only description of gravity in General Relativity by providing an independent and consistent geometric carrier for rotation, vorticity, and angular–momentum transport. GAN is not introduced as an ad hoc constraint; rather, it emerges as a global consistency principle re quired by angular–momentum conservation, cosmological boundary conditions, and the statistical isotropy of large–scale structure. The central contribution of this work is to clarify the logical relation between local angular–momentum flux conservation, global closure, and the structure of the solution space. We show that the rotational flux current Jµ rot induced by the two form sector satisfies a covariant local continuity equation, implying a radially invari ant integrated flux. However, local conservation alone is insufficient to fix the global angular–momentum zero mode. The GAN condition acts as a global closure rela tion that removes this continuous zero–mode freedom and decomposes the classical solution space into mutually disconnected flux sectors. Under physically admissible conditions of regularity, boundary behavior, and global neutrality, no continuous classical deformation exists between solutions with different asymptotic flux. This result is established explicitly in the form of a no–go theorem. Onthis basis, we identify the geometric origin of so–called “macroscopic angular momentum quantization”. The resulting discreteness does not rely on microscopic quantum postulates. Instead, it follows from the interplay of (i) the topological and flux–sector structure of the two–form gauge field, (ii) global closure enforced by GAN, and (iii) regularity and boundary conditions. If neighboring flux sectors are separated by a finite on–shell action difference, an emergent macroscopic con stant ℏQ can be defined, which characterizes the minimal action increment between distinct classical geometric sectors. The physical consequences of this structure are consistent across scales. In the weak–field regime, propagation of the two–form field produces Yukawa–type corrections with a characteristic range of order &sim; 10kpc, providing a geometric ex planation of spiral–galaxy rotation curves without invoking dark matter halos. In the strong–field regime, the interplay of rotational flux and global neutrality natu rally favors angular–momentum–dominated compact structures. In a cosmological setting,GAN is compatible with FLRW symmetry: it introduces no additional back ground degrees of freedom whilee nforcing vanishing total rotational flux on spatial hypersurfaces. In summary, global angular–momentum neutrality andt wo–form geometry form a coherent, structurally constrained, and testable core of the QAMG framework. By extending gravitational geometry beyond curvature to include rotation and global closure, this framework provides a new geometric starting point for connecting cosmic acceleration, galactic structure, and the potential unification of macroscopic and microscopic descriptions of angular momentum.

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