Pitkänen, Matti
(2021)
*About the role of Galois groups in TGD framework.*

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## Abstract

This article was inspired by the inverse problem of Galois theory. Galois groups are realized

as number theoretic symmetry groups realized physically in TGD a symmetries of space-time

surfaces. Galois confinement is as analog of color confinement is proposed in TGD inspired

quantum biology.

Two instances of the inverse Galois problem, which are especially interesting in TGD, are

following:

Q1: Can a given finite group appear as Galois group over Q? The answer is not known.

Q2: Can a given finite group G appear as a Galois group over some EQ? Answer to Q2 is

positive as will be found and the extensions for a given G can be explicitly constructed.

Item Type: | Article |
---|---|

Subjects: | B Philosophy. Psychology. Religion > BD Speculative Philosophy Q Science > QA Mathematics (General) Q Science > QC Physics > QC01 Quantum mechanics |

ID Code: | 372 |

Deposited By: | TGD MP Pitkänen |

Deposited On: | 09 Jul 2021 16:05 |

Last Modified: | 09 Jul 2021 16:05 |

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