Powered by OpenAIRE graph
Found an issue? Give us feedback
ZENODOarrow_drop_down
ZENODO
Preprint . 2026
License: CC BY
Data sources: Datacite
ZENODO
Preprint . 2026
License: CC BY
Data sources: Datacite
ZENODO
Preprint . 2026
License: CC BY
Data sources: Datacite
ZENODO
Preprint . 2026
License: CC BY
Data sources: Datacite
ZENODO
Preprint . 2026
License: CC BY
Data sources: Datacite
ZENODO
Preprint . 2026
License: CC BY
Data sources: Datacite
versions View all 6 versions
addClaim

the Common Geometric Origin of π, Λ, and G

Authors: Bashan, Nadav;

the Common Geometric Origin of π, Λ, and G

Abstract

This work examines the possibility that three constants usually treated as conceptually independent, the geometric constant π, the cosmological constant Λ, and Newton’s gravitational constant G, may admit a common boundary geometric origin. The starting point is a spherical radiative boundary whose topology, flux projection, phase space organization, and harmonic spectral summation combine into the dimensionless invariant π³/15 This invariant is then projected onto the cosmological horizon, yielding the relations ΛR_H² = π³/15 Ω_Λ = π³/45 When the horizon is resolved holographically through the standard Planck area relation N = A_H / ℓ_P² with ℓ_P² = ħG / c³ Newton’s constant appears as the parameter governing the microscopic closure of the same geometry, with the holographic cell count N determining the Planck scale resolution of the horizon. In this picture, π characterizes the spherical boundary geometry, Λ represents its cosmological projection, and G completes its microscopic holographic description. The proposal is not presented as a complete dynamical theory of gravity, but as a geometric reconstruction suggesting that part of the normalization of cosmological and gravitational parameters may originate in a common radiative boundary structure.

  • BIP!
    Impact byBIP!
    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).
    0
    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.
    Average
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    Average
    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
    Average
Powered by OpenAIRE graph
Found an issue? Give us feedback
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!
0
Average
Average
Average
Upload OA version
Are you the author of this publication? Upload your Open Access version to Zenodo!
It’s fast and easy, just two clicks!