Theory Of Smoothpath where it connects to various branches

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1. Verfasser: Sarangi, Apurv
Format: Recurso digital
Veröffentlicht: Zenodo 2025
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author Sarangi, Apurv
author_facet Sarangi, Apurv
contents <p>This work presents a novel theoretical framework aimed at resolving the Navier–Stokes Existence and Smoothness Millennium Problem through a symbolic dual-path approach. The main manuscript introduces the concepts of fu (stable/finite smooth fluid motion) and nfu (unstable/non-smooth fluid motion) to characterize fluid behavior, integrating symbolic mathematics and finite domain logic. The theory proposes a stable smooth-path (+Sp) governed by uniform pressure-gradient dynamics, eliminating singularities and ensuring global regularity.</p> <p> </p> <p>In addition to the main proof-based manuscript, two supplementary documents are provided:</p> <p> </p> <p>1. Supplement 1 (presentation 1)demonstrates how the proposed fu/nfu structure inherently allows for wormhole formation in spacetime under extreme flow curvature and symbolic geometry.</p> <p> </p> <p> </p> <p>2. Supplement 2 (presentation 2)rigorously argues that time travel within fluid-dynamic topology is consistent with +Sp motion, further validating the model's application beyond fluid mechanics.</p> <p> </p> <p> </p> <p> </p> <p>This unified framework offers a symbolic, physical, and mathematical structure capable of not only addressing the original Clay Institute problem but also proposing extensions into general relativity and spacetime dynamics</p>
format Recurso digital
id zenodo_https___doi_org_10_5281_zenodo_16325650
institution Zenodo
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publishDate 2025
publisher Zenodo
record_format zenodo
spellingShingle Theory Of Smoothpath where it connects to various branches
Sarangi, Apurv
<p>This work presents a novel theoretical framework aimed at resolving the Navier–Stokes Existence and Smoothness Millennium Problem through a symbolic dual-path approach. The main manuscript introduces the concepts of fu (stable/finite smooth fluid motion) and nfu (unstable/non-smooth fluid motion) to characterize fluid behavior, integrating symbolic mathematics and finite domain logic. The theory proposes a stable smooth-path (+Sp) governed by uniform pressure-gradient dynamics, eliminating singularities and ensuring global regularity.</p> <p> </p> <p>In addition to the main proof-based manuscript, two supplementary documents are provided:</p> <p> </p> <p>1. Supplement 1 (presentation 1)demonstrates how the proposed fu/nfu structure inherently allows for wormhole formation in spacetime under extreme flow curvature and symbolic geometry.</p> <p> </p> <p> </p> <p>2. Supplement 2 (presentation 2)rigorously argues that time travel within fluid-dynamic topology is consistent with +Sp motion, further validating the model's application beyond fluid mechanics.</p> <p> </p> <p> </p> <p> </p> <p>This unified framework offers a symbolic, physical, and mathematical structure capable of not only addressing the original Clay Institute problem but also proposing extensions into general relativity and spacetime dynamics</p>
title Theory Of Smoothpath where it connects to various branches
url https://doi.org/10.5281/zenodo.16325650