Skip to content
Carmelics
TopicsThinkersChangesContributorsLoading account…

    Carmelics

    A reasoning platform. Break down any belief into clear reasons, explore both sides, and weigh the evidence honestly.

    Navigate

    • Topics
    • Search
    • Recent Changes
    • Contribute
    • How It Works
    • Glossary
    • Thinkers
    • Contributors
    • About
    • Statistics
    • Terms
    • Privacy

    Database

    Statements
    —
    Perspectives
    —
    Topics
    —

    Press ? for keyboard shortcuts

    LoyalLoyalJusticeJustice
    Made withinDC&Austin
    Statements
    321,452
    Perspectives
    108,905
    Topics
    42
    Einstein's general theory of relativity requires Riemann'... — Carmelics
    Home/Causation
    HistoryEditSee Inverse

    Part of a larger discussion

    Supports→Weyl's reformulation of the space problem should incorporate Riemann's infinitesimal standpoint

    Einstein's general theory of relativity requires Riemann's infinitesimal standpoint

    CausationTruth & Knowledge
    ?Rate how convincing each reason is below to see the overall strength.

    No one has weighed in yet. Be the first to share reasons for or against this statement.

    Sign in or register to share your perspective on this statement.

    Topics

    CausationTruth & Knowledge

    Connections

    1 topic

    Modality & Possibility2 linked

    Related

    Next step

    Based on where you are in your exploration

    Browse more in Causation
    Related propositions within the same area of thought.
    Any reformulation of the space problem must cohere with the requirements of gene...Weyl's reformulation of the space problem should incorporate Riemann's infinites...

    Similar

    Riemannian geometry satisfies Weyl's fundamental principle of infinite...81%Weyl's reformulation of the space problem should incorporate Riemann's...80%Mach's Principle was successfully incorporated into Einstein's general...80%To do full justice to both Leibniz's and Nieuwentijdt's conceptions of...80%

    Source

    AI-extracted
    SEP: weyl
    View source passageHide passage
    Considering the general case of \(n\) dimensions, and using Lie groups and Lie algebras, Sophus Lie, (Lie (1886/1935, 1890a,b)), later developed and improved Helmholtz’s justification. However, the Helmholtz-Lie treatment of, and solution to, the problem of space, lost its relevance with the arrival of Einstein’s theory of general relativity. As Weyl (1922b) points out, instead of a three-dimensional continuum we must now consider a four-dimensional continuum, the metric of which is not p

    Details

    Type
    premise
    Perspectives
    0 (0 for, 0 against)
    Edits
    1 edit

    Open for perspectives

    This idea is waiting for its first supporting or challenging perspective.

    Share the first perspective