Symmetric Space–Time String Theory String Theory in Ten Time Dimensions A (10,10)-Dimensional Extension of String Theory Multi-Time String Theory Extended Temporal String Theory
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2026
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| _version_ | 1866902209861517312 |
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| author | Singh Khalsa, Sardar Dilbag |
| author_facet | Singh Khalsa, Sardar Dilbag |
| contents | <p>We propose a fundamental extension of string theory in which spacetime possesses an equal number<br>of spatial and temporal dimensions, yielding a twenty-dimensional manifold with signature<br>$(10,10)$. The fundamental coordinates are defined as<br>\[<br>X^A = (x^1,\dots,x^{10};\, t_1,\dots,t_{10}),<br>\]<br>with invariant interval<br>\[<br>ds^2 = \sum_{a=1}^{10} c^2 dt_a^2 - \sum_{i=1}^{10} (dx^i)^2 .<br>\]<br>Quantum states depend on the full temporal vector<br>$\mathbf{T}=(t_1,\dots,t_{10})$ and satisfy a multi-time evolution law<br>\[<br>i\hbar \frac{\partial \Psi}{\partial t_a} = \hat{H}_a \Psi, \qquad a=1,\dots,10,<br>\]<br>together with integrability constraints ensuring consistent dynamics. A single observable time<br>parameter $\tau=n_a t_a$ emerges dynamically as a projection of the higher-dimensional temporal<br>space. We construct generalized string worldsheet, Dirac, and gravitational actions in the<br>$(10,10)$ geometry and demonstrate that conventional $(1,9)$ string theory arises through<br>temporal projection and dimensional reduction. This framework suggests that quantum behavior and<br>spacetime structure originate from hidden time dimensions and provides a new geometric route<br>toward unification.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_18412017 |
| institution | Zenodo |
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| publishDate | 2026 |
| publisher | Zenodo |
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| spellingShingle | Symmetric Space–Time String Theory String Theory in Ten Time Dimensions A (10,10)-Dimensional Extension of String Theory Multi-Time String Theory Extended Temporal String Theory Singh Khalsa, Sardar Dilbag 20 Dimensional String Theory Spacetime Unification (10,10) Spacetime Signature <p>We propose a fundamental extension of string theory in which spacetime possesses an equal number<br>of spatial and temporal dimensions, yielding a twenty-dimensional manifold with signature<br>$(10,10)$. The fundamental coordinates are defined as<br>\[<br>X^A = (x^1,\dots,x^{10};\, t_1,\dots,t_{10}),<br>\]<br>with invariant interval<br>\[<br>ds^2 = \sum_{a=1}^{10} c^2 dt_a^2 - \sum_{i=1}^{10} (dx^i)^2 .<br>\]<br>Quantum states depend on the full temporal vector<br>$\mathbf{T}=(t_1,\dots,t_{10})$ and satisfy a multi-time evolution law<br>\[<br>i\hbar \frac{\partial \Psi}{\partial t_a} = \hat{H}_a \Psi, \qquad a=1,\dots,10,<br>\]<br>together with integrability constraints ensuring consistent dynamics. A single observable time<br>parameter $\tau=n_a t_a$ emerges dynamically as a projection of the higher-dimensional temporal<br>space. We construct generalized string worldsheet, Dirac, and gravitational actions in the<br>$(10,10)$ geometry and demonstrate that conventional $(1,9)$ string theory arises through<br>temporal projection and dimensional reduction. This framework suggests that quantum behavior and<br>spacetime structure originate from hidden time dimensions and provides a new geometric route<br>toward unification.</p> |
| title | Symmetric Space–Time String Theory String Theory in Ten Time Dimensions A (10,10)-Dimensional Extension of String Theory Multi-Time String Theory Extended Temporal String Theory |
| topic | 20 Dimensional String Theory Spacetime Unification (10,10) Spacetime Signature |
| url | https://doi.org/10.5281/zenodo.18412017 |