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Other literature type . 2026
License: CC BY
Data sources: Datacite
ZENODO
Other literature type . 2026
License: CC BY
Data sources: Datacite
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Paper 67B: Neutral Support Spacing in the Dimensionless Gravity Hierarchy Why the Neutron Mass May Set the Holosphere Gravity-Cell Scale

Authors: Sarnowski, Michael;

Paper 67B: Neutral Support Spacing in the Dimensionless Gravity Hierarchy Why the Neutron Mass May Set the Holosphere Gravity-Cell Scale

Abstract

Paper 67B continues the 67-series by asking why the dimensionless gravity hierarchy uses the neutron mass cubed. Paper 67A identified the dimensionless hierarchy number n_G = 2 M_p pi^3 h c / (G M_n^3) as the proper first target, while keeping clear that the series has not yet derived G. Paper 67B narrows the question: why does M_n^3 appear in the denominator? The main proposal is the neutral support-spacing hypothesis. In this interpretation, the neutron mass is not chosen merely as a convenient particle scale. It is treated as the candidate mass of the first neutral closed VROS support unit. Its Compton wavelength, lambda_n = h / (M_n c), is then interpreted as the candidate neutral Holosphere support-spacing scale relevant to gravitational source loading. The hierarchy formula can be factored as G = (h c / M_n^2)(2 pi^3 / n_G)(M_p / M_n). This separates three roles. The factor h c / M_n^2 supplies a natural dimensional coupling at the neutral hadronic scale. The factor 2 pi^3 / n_G supplies the large structural hierarchy suppression. The ratio M_p / M_n supplies a matter-sector or charged-baryon offset relative to the neutral support scale. Paper 67B also introduces the charged-envelope hypothesis. Neutral closed states may define compact support spacing, while charged states may require extended Compton coherence envelopes because charge is field-bearing. In this exploratory mapping, proton-like and electron-like states may be 6-vacancy charged/open VROS candidates, while the neutron-like state may be a 12-vacancy neutral/closed VROS candidate. This is not claimed as a proven particle derivation. It is a mechanism hypothesis for why the neutron scale, rather than the electron scale or proton scale alone, appears in the gravity hierarchy denominator. A key local result is that the one-neutron-equivalent gravitational source length can be written as G M_n / c^2 = lambda_n (2 pi^3 / n_G)(M_p / M_n). This gives n_G a physical interpretation: it may be the structural dilution factor between local neutral support spacing and the much smaller gravitational source length associated with one neutron-equivalent mass. The result is bounded. Paper 67B does not derive the neutron mass, proton mass, electron mass, VROS particle identity, S_9, n_G, or G. Its contribution is a neutral-spacing mechanism audit. It gives the neutron mass a structural role inside the dimensionless hierarchy and prepares the next step: testing whether the large count S_9 can be generated by Holosphere structural recursion.

Keywords

Holosphere Theory; Paper 67B; dimensionless gravity hierarchy; neutron mass; M_n; neutral support spacing; neutron Compton wavelength; lambda_n; gravitational constant; G; n_G; S_9; neutral support cell; gravity-cell scale; source length; G M_n / c^2; structural dilution; VROS; TDR; charged-envelope hypothesis; charged VROS; neutral VROS; 6-vacancy VROS; 12-vacancy VROS; proton mass; electron mass; charged-baryon offset; Compton coherence envelope; calibration versus derivation; Holosphere gravity.

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
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