Dynamics of discrete-space structure

Dadic, I.; Pisk, K.

doi:10.1007/bf00670430

Cited by 12 publications

(12 citation statements)

References 22 publications

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“…(Einstein, 1952b, p. 176) As a consequence, in order to vacate spacetime, one must, along with all its matter, rid spacetime of its quantitative geometry. When the metric field is gone, so is the network of intervals ds 2 logically built upon it, 12 and only spacetime's building blocks remain: its points. However, according to general relativity's diffeomorphism invariance principle, these points cannot be observed by means of any physical tests, and empty spacetime-so the argument remains-cannot claim physical existence.…”

Section: The Physical Existence Of Space and Timementioning

confidence: 99%

Geometry, pregeometry and beyond

Meschini

Lehto

Piilonen

2005

Studies in History and Philosophy of Science Part B: Studies in

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This article explores the overall geometric manner in which human beings make sense of the world around them by means of their physical theories; in particular, in what are nowadays called pregeometric pictures of Nature. In these, the pseudo-Riemannian manifold of general relativity is considered a flawed description of spacetime and it is attempted to replace it by theoretical constructs of a different character, ontologically prior to it. However, despite its claims to the contrary, pregeometry is found to surreptitiously and unavoidably fall prey to the very mode of description it endeavours to evade, as evidenced in its all-pervading geometric understanding of the world. The question remains as to the deeper reasons for this human, geometric predilection-present, as a matter of fact, in all of physics-and as to whether it might need to be superseded in order to achieve the goals that frontier theoretical physics sets itself at the dawn of a new century: a sounder comprehension of the physical meaning of empty spacetime.

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Section: The Physical Existence Of Space and Timementioning

confidence: 99%

Geometry, pregeometry and beyond

Meschini

Lehto

Piilonen

2005

Studies in History and Philosophy of Science Part B: Studies in

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“…Each graph is defined by link variables lab, a < b, which are conventionally give the value 1 if the nodes a and b are linked and 0 otherwise. Such systems have occasionally been studied as pregeometric models of space-time (Dadic and Pisk, 1979;Antonsen, 1994;Requardt, 1995).…”

Section: Topology and Random Graphsmentioning

confidence: 99%

Principle of event symmetry

Gibbs

1996

Int J Theor Phys

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To accommodate topology change, the symmetry of space-time must be extended from the diffeomorphism group of a manifold to the symmetric group acting on the discrete set of space-time events. This is the principle of event-symmetric space-time. I investigate a number of physical toy models with this symmetry to gain some insight into the likely nature of event-symmetric space-time, In the more advanced models the symmetric group is embedded into larger structures such as matrix groups which provide scope to unify space-time symmetry with the internal gauge symmetries of particle physics, I also suggest that the symmetric group of space-time could be related to the symmetric group acting to exchange identical particles, implying a unification of space-time and matter. I end with a definition of a new type of loop symmetry which is important in event-symmetric superstring theory.

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“…Given (7), let us express here the 'kinematical quantum constraints' that discern which ones among the m-qubit states in (6) form the basis of…”

Section: Principlementioning

confidence: 99%

“…Because the entire universe, and so also the fundamental 'setting' of the spacetime, is a quantum system, the hypergraphical pregeometry must be defined quantumly. Indeed, some interesting quantum models of graphical pregeometries have been already constructed in the past and recent literature [7][8][9][10][11][12][13]. These works, independent of the implemented quantum statistics of the degrees of freedom, differently but all partially, have employed some features of the total quantum many body system of the theory M. Both of the works [7,8] already used the framework of second quantization for the graph-structural degrees of freedom, in [7] with some deterministic local evolution, and in [8] with some random interactions.…”

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confidence: 99%

HoloQuantum HyperNetwork Theory

Tavanfar¹

2018

Preprint

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Dynamics of discrete-space structure

Cited by 12 publications

References 22 publications

Geometry, pregeometry and beyond

Geometry, pregeometry and beyond

Principle of event symmetry

HoloQuantum HyperNetwork Theory

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