2006
DOI: 10.1140/epjc/s2006-02587-5
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Reconsidering extra time-like dimensions

Abstract: In this study we reconsider the phenomenological problems related to tachyonic modes in the context of extra time-like dimensions. First we reconsider a lower bound on the size of extra time-like dimensions and improve the conclusion in the literature. Next we discuss the issues of spontaneous decay of stable fermions through tachyonic decays and disappearance of fermions due to tachyonic contributions to their self-energies. We find that the tachyonic modes due to extra time-like dimensions are less problemat… Show more

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Cited by 10 publications
(13 citation statements)
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“…We also note that the present theory, based on multi-dimensional forms of time, is also very different from models with extra timelike dimensions (see for example [38,39] and the references therein). While maintaining a quadratic form such models augment the 4-dimensional spacetime form on the right-hand side of equation 2 with a non-Lorentzian metric signature, with care then needed to avoid conflict with causality and unitarity.…”
Section: Establishing a Firm Foundationmentioning
confidence: 80%
“…We also note that the present theory, based on multi-dimensional forms of time, is also very different from models with extra timelike dimensions (see for example [38,39] and the references therein). While maintaining a quadratic form such models augment the 4-dimensional spacetime form on the right-hand side of equation 2 with a non-Lorentzian metric signature, with care then needed to avoid conflict with causality and unitarity.…”
Section: Establishing a Firm Foundationmentioning
confidence: 80%
“…To this end, let us use the extra space with interval square (2) and time-like coordinates of the extra space [13]. The shortage of many-time idea and its solution is discussed in [14][15][16]. In the following we suppose that the idea is correct and substitute the minus signs in (12) by plus signs.…”
Section: Second Example Hierarchy Problemmentioning
confidence: 99%
“…Most timelike extra dimension models are Kaluza-Klein type theory with compact extra time dimensions [11][12][13][14][15][16][17][18][19][20][21]. The constrains from unitarity and causality on the maximum radius of the internal time-like directions have been investigated [22][23][24][25]. Gravitation, electrodynamics and electroweak interaction were reconsidered in the sixdimensional spacetime with three times [26][27][28].…”
Section: Introductionmentioning
confidence: 99%