General Formulation of Topos Many-Node Theory
Fuente:
arXiv
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| Formato: | Preprint |
| Publicado: |
2022
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| _version_ | 1866909738608885760 |
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| author | Simchi, Hamidreza |
| author_facet | Simchi, Hamidreza |
| contents | We consider the created entities (events) in the first moments of universe creation. It is assumed that there exists a causal energetic relationship between all events (nodes) such that all nodes are placed on a world line and each node occupies a region (instead of a point) in space-time, called locale, in mathematical terms. The set of locale nodes form a topos many-node system. Using some basic assumptions, we introduce two kinds of Hamiltonians. By attributing a general structural Hamiltonian to the system, it is shown that the system has an optimized critical dimension with a probable Raman and infrared spectrums. Also, we consider a general nonstructural Hamiltonian which includes a set of commutative self-adjoint operators and an interaction terms due to the spin, charge, or other kinds of probable degrees of freedoms for each $n^{th}$-optimized graph. For finding the state-space, truth values and quantity valued objects of the many-node system, a general procedure is introduced. The set of these values is a classical snapshot of the $n^{th}$-optimized graph which forms its kinematic. We show that the dynamic of the system can be explained by defining a combined map between the $n^{th}$- state-space belongs to the $n^{th}$-graph and the $({n+1)}^{th}$-state-space belong to $({n+1)}^{th}$-graph. Finally, by providing an interpretation of the general formulation of many-node theory, we discuss and explain how one can use the data of the cosmic background radiations and cosmic rays for finding a detailed model of both general structural and nonstructural introduced Hamiltonian. Here, time is no more than the change in truth value during comparison between $n^{th}$ and $({n+1)}^{th}$-graph. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2209_02701 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | General Formulation of Topos Many-Node Theory Simchi, Hamidreza General Relativity and Quantum Cosmology Quantum Physics We consider the created entities (events) in the first moments of universe creation. It is assumed that there exists a causal energetic relationship between all events (nodes) such that all nodes are placed on a world line and each node occupies a region (instead of a point) in space-time, called locale, in mathematical terms. The set of locale nodes form a topos many-node system. Using some basic assumptions, we introduce two kinds of Hamiltonians. By attributing a general structural Hamiltonian to the system, it is shown that the system has an optimized critical dimension with a probable Raman and infrared spectrums. Also, we consider a general nonstructural Hamiltonian which includes a set of commutative self-adjoint operators and an interaction terms due to the spin, charge, or other kinds of probable degrees of freedoms for each $n^{th}$-optimized graph. For finding the state-space, truth values and quantity valued objects of the many-node system, a general procedure is introduced. The set of these values is a classical snapshot of the $n^{th}$-optimized graph which forms its kinematic. We show that the dynamic of the system can be explained by defining a combined map between the $n^{th}$- state-space belongs to the $n^{th}$-graph and the $({n+1)}^{th}$-state-space belong to $({n+1)}^{th}$-graph. Finally, by providing an interpretation of the general formulation of many-node theory, we discuss and explain how one can use the data of the cosmic background radiations and cosmic rays for finding a detailed model of both general structural and nonstructural introduced Hamiltonian. Here, time is no more than the change in truth value during comparison between $n^{th}$ and $({n+1)}^{th}$-graph. |
| title | General Formulation of Topos Many-Node Theory |
| topic | General Relativity and Quantum Cosmology Quantum Physics |
| url | https://arxiv.org/abs/2209.02701 |