The Extended Zeta Function and General Relativity: Helical Embedding and Inertial Frames

The Extended Zeta Function and General Relativity: Helical Embedding and Inertial Frames | Authorea try { document.documentElement.classList.add('js'); } catch (e) { } var _gaq = _gaq || []; _gaq.push(['_setAccount', 'G-8VDV14Y67G']); _gaq.push(['_trackPageview']); (function() { var ga = document.createElement('script'); ga.type = 'text/javascript'; ga.async = true; ga.src = ('https:' == document.location.protocol ? 'https://ssl' : 'http://www') + '.google-analytics.com/ga.js'; var s = document.getElementsByTagName('script')[0]; s.parentNode.insertBefore(ga, s); })(); Skip to main content Preprints Collections Wiley Open Research IET Open Research Ecological Society of Japan All Collections About About Authorea FAQs Contact Us Quick Search anywhere Search for preprint articles, keywords, etc. Search Search ADVANCED SEARCH SCROLL This is a preprint and has not been peer reviewed. Data may be preliminary. 15 October 2025 V1 Latest version Share on The Extended Zeta Function and General Relativity: Helical Embedding and Inertial Frames Author : Thomas Richter 0009-0007-4180-9817 [email protected] Authors Info & Affiliations https://doi.org/10.22541/au.176055030.07676531/v1 148 views 104 downloads Contents Abstract Supplementary Material Information & Authors Metrics & Citations View Options References Figures Tables Media Share Abstract We present a focused construction in which the extended zeta function, augmented by a global phase φ and a Hurwitz-ε shift, simultaneously encodes two inertial frames that share the same continuum time while tracing distinct event trajectories. The phase extension couples directly to General Relativity Theory (GRT) through a helical embedding that yields Lorentz-like relations for time dilation and length contraction. In contrast, the Hurwitz-ε extension acts as a quantum/thermodynamic (QM/THERMO) channel and is not GRTeffective. Stability of the balance surface Re(s) = 1 2 is ensured by discrete phases φ = π 4 + n π 2. The separation of roles (phase φ for GRT, ε for QM/THERMO) renders the framework internally consistent and experimentally suggestive. Supplementary Material File (zeta_inertial.pdf) Download 287.58 KB Information & Authors Information Version history V1 Version 1 15 October 2025 Copyright This work is licensed under a Creative Commons Attribution 4.0 International License Keywords general relativity helical coil length contraction relativistic time dilation time dilation zeta function Authors Affiliations Thomas Richter 0009-0007-4180-9817 [email protected] View all articles by this author Metrics & Citations Metrics Article Usage 148 views 104 downloads .FvxKWukQNSOunydq8rnd { width: 100px; } Citations Download citation Thomas Richter. The Extended Zeta Function and General Relativity: Helical Embedding and Inertial Frames. Authorea . 15 October 2025. 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