From Unified Field Theory to the Standard Model and Beyond

Jackson, David Jeff

doi:10.48550/arxiv.1809.05403

Cited by 3 publications

(9 citation statements)

References 21 publications

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“…While having something in common with the 'unified field theories' of that era, in this paper we describe a new theory based upon a generalisation of proper time which has the potential to naturally incorporate not only the Standard Model but also the phenomenology of physics beyond, including that of the neutrino sector. The core arguments for this analysis are summarised in [1] and will be elaborated along with further observations in this paper as outlined below.…”

Section: Introduction and Reviewsmentioning

confidence: 99%

Generalised Proper Time as a Unifying Basis for Models with Two Right-Handed Neutrinos

Jackson¹

2019

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Models with two right-handed neutrinos are able to accommodate solar and atmospheric neutrino oscillation observations as well as a mechanism for the baryon asymmetry of the universe. While economical in terms of the required new states beyond the Standard Model, given that there are three generations of the other leptons and quarks this raises the question concerning why only two right-handed neutrino states should exist. Here we develop from first principles a fundamental unification scheme based upon a direct generalisation and analysis of a simple proper time interval with a structure beyond that of local 4-dimensional spacetime and further augmenting that of models with extra spatial dimensions. This theory leads to properties of matter fields that resemble the Standard Model, with an intrinsic left-right asymmetry which is particularly marked for the neutrino sector. It will be shown how the theory can provide a foundation for the natural incorporation of two right-handed neutrinos and may in principle underlie firm predictions both in the neutrino sector and for other new physics beyond the Standard Model. While connecting with contemporary and future experiments the origins of the theory are motivated in a similar spirit as for the earliest unified field theories.

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Section: Introduction and Reviewsmentioning

confidence: 99%

Generalised Proper Time as a Unifying Basis for Models with Two Right-Handed Neutrinos

Jackson¹

2019

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“…To date the most significant success of the present theory has been seen in establishing explicit connections with the esoteric structures of the Standard Model, as briefly reviewed in section 3 ([49] section 3), which are obtained in a far more direct and unique manner than for models with extra spatial dimensions for example. While developments for the present theory beyond the Standard Model in the breaking of equation 28 might prove predictive and testable in itself ([49] section 4, [50] section 6), the full potential to test the theory will require the full mathematical expression in the extended spacetime M 4 in order in principle to determine parameters of the Standard Model such as the spectrum of particle masses and additional quantitative results.…”

Section: Discussionmentioning

confidence: 99%

“…As discussed for figure 4 in subsection 7.2 and figure 5 above, while the gravitational field in these laboratory experiments is far too small to detect, the theory could still be tested by accounting for the measurements we can make. These ambitions for the present theory then include not only reproducing the spectrum of Standard Model particle states and their masses but also in principle making predictions for new observable phenomena [49,50]. In this manner this theory based on the simple idea of generalised proper time provides a unifying framework for establishing a consistent theory of quantum gravity that is also accessible to empirical investigation.…”

Section: Analysis Of Double-slit Experimentsmentioning

confidence: 94%

“…As alluded to near the end of subsection 2.4, with the initial priority placed more upon the gravitational than the quantum side, the historical connection of this theory with general relativity and early unified field theories is presented in ( [49] subsections 1.2 and 5.1, [50]), with the underlying simplicity of this approach in deriving from the 'one dimension' of proper time alone as encapsulated in 'one simple equation' discussed in ([49] subsection 5.2). The conceptual picture regarding the relation between the substructure of this one dimension of time and the structure of 4-dimensional spacetime and the matter it contains is further expounded in [51].…”

Section: Generalised Proper Time As a Unifying Basismentioning

confidence: 99%

“…Through this equation energymomentum is defined, in a manner consistent and compatible with the Einstein field equation 14 but with a somewhat different conceptual basis in generalised proper time. There is however an historical connection with unified field theories as a generalisation of general relativity as noted in section 3 (citing [49] subsections 1.2 and 5.1, [50]).…”

Section: For a General Curved Spacetimementioning

confidence: 99%

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Quantum Gravity from the Composition of Spacetime Constructed through Generalised Proper Time

Jackson

2020

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We describe a theory amalgamating quantum theory and general relativity through the identification of a continuous 4-dimensional spacetime arena constructed from the substructures of a generalised multi-dimensional form for proper time. In beginning with neither a matter field content nor the geometric structure of an extended 4-dimensional spacetime the properties of these entities, together with their mutual correspondence, are derived through the constraints implied in founding the theory upon the general form of proper time alone. The geometric structure of the spacetime identified exhibits a locally degenerate description in terms of an inherent ambiguity in the apparent matter field content, in a manner consistent with the Einstein field equation of general relativity while also incorporating an intrinsic indeterminacy that is characteristic of quantum phenomena. Here the quantum properties of all non-gravitational fields arise from this composition of spacetime, rather than via a postulated set of rules applied in spacetime to be extended and applied to the gravitational field or spacetime itself. The contrast with several other approaches to quantum gravity and the manner in which this framework can incorporate the essential properties of general relativity and quantum theory, both individually and in combination, will be elaborated. While emphasis will be upon providing a unifying conceptual basis the development of the associated mathematical framework will also be described.

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The Dark Energy Sector of Generalised Proper Time

Jackson¹

2022

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Generalisation from the local 4-dimensional spacetime form for a proper time interval provides an alternative basis for a unified theory contrasting with the more familiar approach of appending extra dimensions of space. In both cases the main goal is to derive a structure of matter that accounts for empirical observations from the properties of the additional components. Previous work has focussed upon the direct and significant connections that this new approach makes with the Standard Model of particle physics while also providing a link with dark matter models. In this paper we elaborate on how a further sector of generalised proper time, incorporating the key component of negative pressure, can account for the apparent dark energy fuelling the accelerating large-scale expansion of the universe. Through comparison with existing dark energy models we elucidate the elementary composition of this sector, its potential relation to an effective cosmological constant term, and the nature of possible interaction with the visible and dark matter sectors.

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From Unified Field Theory to the Standard Model and Beyond

Cited by 3 publications

References 21 publications

Generalised Proper Time as a Unifying Basis for Models with Two Right-Handed Neutrinos

Generalised Proper Time as a Unifying Basis for Models with Two Right-Handed Neutrinos

Quantum Gravity from the Composition of Spacetime Constructed through Generalised Proper Time

The Dark Energy Sector of Generalised Proper Time

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