2023
DOI: 10.4236/jamp.2023.111012
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Atomization Theorems in Mathematical Physics and General Relativity

Abstract: Formulated Atomization Theorems extend the theory of Atomic AString Functions evolving since the 1970s allowing representation of polynomials, complex analytic functions, and solutions of linear and nonlinear differential equations via Atomic Series over smooth finite Atomic Splines. Noting the preservation of analyticity for Ricci and Einstein tensors, special new theorems are formulated for General Relativity representing spacetime field via superpositions of flexible finite "solitonic atoms" resembling quan… Show more

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Cited by 3 publications
(2 citation statements)
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“…A comprehensive review of discrete and continuous theories was provided by Hamber [34]. The author's contribution to Quantum Spacetime research includes the development since 2017 of Atomic Spacetime theory [10] [12] [13] [14] based on finite Atomic AString Functions and Atomic Solitons where using Atomization Theorems [14] spacetime and other fields are composed of flexible overlapping "solitonic atoms" resembling quanta also leading to the fields unification idea based on Atomic Solitons.…”
Section: Brief Historical Review Of Quantum Gravitymentioning
confidence: 99%
See 1 more Smart Citation
“…A comprehensive review of discrete and continuous theories was provided by Hamber [34]. The author's contribution to Quantum Spacetime research includes the development since 2017 of Atomic Spacetime theory [10] [12] [13] [14] based on finite Atomic AString Functions and Atomic Solitons where using Atomization Theorems [14] spacetime and other fields are composed of flexible overlapping "solitonic atoms" resembling quanta also leading to the fields unification idea based on Atomic Solitons.…”
Section: Brief Historical Review Of Quantum Gravitymentioning
confidence: 99%
“…[16] [47][50] [55][64] [65]. A similar discretecontinuous quantum spacetime model is discussed in the author's Atomic Spacetime research[10] [12] [13][14].…”
mentioning
confidence: 99%