Is There a Quantum Geography?

Bittner, Thomas

doi:10.1007/978-3-030-16829-2_10

Cited by 3 publications

(6 citation statements)

References 29 publications

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“…'smooth infinitesimal analysis' https://plato.stanford.edu/entries/continuity/ . 7 Readers unfamiliar with the approach and notation in section 2.1 may find Supplemental 1 helpful.…”

Section: Building Dimensionsmentioning

confidence: 99%

“…Vectors in LCT are not created by the passing of a packet of momentum between two nodes, but by the ordered passing of that packet across many nodes. Relative LCT distance and position is the result of net relative connection speed across all nodes in 15 There is some argument that finer granularity does not necessarily deliver higher information density [7] and that five dimensions may offer the most efficient generalization from a ball to a cubic space [58] Other options being 8 and 24 dimensions e.g. https://arxiv.org/abs/1603.06518 (Accessed12-07-2021).…”

Section: Stability Of the Lctmentioning

confidence: 99%

“…How equivalent are uncertainties in space and time for point-in-prism analyses [55] or object based view-shed analysis [98] where inter-visibility is dependent on temporal factors? If detecting motion in discrete space [42], should one assume a linear, constant, motion within each grain or consider a straight line to be the lower bound [50] on a probability function in position [7,22]? All are examples where the spatial-to-temporal scale relationship might amplify uncertainty 19 .…”

Section: Fccp For Space-time Representation?mentioning

confidence: 99%

“…Part 1 explained why sphere packing limits suggest that a continuum cannot be completely addressed. Part 2 seeks to resolve that paradox by creating a smooth 6 space from discreet topological elements (section 2.1) in order to examine the relationship between space and time mechanistically and elucidate principles for its representation 7 . Based on these principles, Face Centered Cubic Packing is then proposed as a practical approach to model, if not fully resolve, the issue of incompleteness in spatio-temporal representation (Section 2.2).…”

Section: Introduction To Partmentioning

confidence: 99%

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Does Time Smoothen Space? Implications for Space-Time Representation

Sang¹

2022

Preprint

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The continuous nature of space and time is a fundamental tenet of many scientific endeavours. That digital representation imposes granularity is well recognized but whether it is possible to address space completely remains unanswered. Part 1 argues that Hales’ proof of Keppler’s conjecture on the packing of hard spheres suggests the answer to be ‘no’, providing examples of why this matters in GIS generally and spatio-temporal GIS in particular. Part 2 seeks to resolve the dichotomy between continuous and granular space, showing how a continuous space may be emergent over a random graph. However, its projection into 3D/4D imposes granularity. Perhaps surprisingly, representing space and time as locally conjugate may be key to addressing a ‘smooth’ spatial continuum. This insight leads to the suggestion of Face Centered Cubic Packing as a space-time topology but also raises further questions for spatio-temporal representation.

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“…'smooth infinitesimal analysis' https://plato.stanford.edu/entries/continuity/ . 7 Readers unfamiliar with the approach and notation in section 2.1 may find Supplemental 1 helpful.…”

Section: Building Dimensionsmentioning

confidence: 99%

Section: Stability Of the Lctmentioning

confidence: 99%

Section: Fccp For Space-time Representation?mentioning

confidence: 99%

Section: Introduction To Partmentioning

confidence: 99%

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Does Time Smoothen Space? Implications for Space-Time Representation

Sang¹

2022

Preprint

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“…And if the list of examples is not enough, we might also consider the advancements of the geographical investigation -the introduction of new tools, technologies and methods of research (Newman, 2006;Gwiazdzinski & Chausson, 2015;Kolossov & Scott, 2013;Bittner, 2019) -as well as the modifications of the geographical world itself, for example through the construction of railways, malls, or the foundation of new states. Should we not therefore consider the possibility that some of these advancements and/or modifications have introduced further perspectives on the geographical world and that, for example, the geographical inventory of an ancient roman can differ, in some respects, from contemporary inventories?…”

Section: Geographical Inventoriesmentioning

confidence: 99%

Ontological Perspectivism and Geographical Categorizations

Tambassi

2021

Philosophia

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According to ontological perspectivism, there can be, in principle, multiple and alternative perspectives on the world that can be sliced, systematized, and conceptualized in different ways. Surely, such an ontological position has many categorial implications, which may vary depending on different disciplinary contexts. This paper explores parts of these implications in the realm of geography. In particular, it aims at discussing the ontological categories that one might use to describe the geographical world in an overarching perspective – that is, the perspective that puts toether all the partial views coming from the different branches of the geographical investigation. We will see that if the overarching perspective is expected to include all the views on the geographical world, then such a perspective should be all-embracing in terms of contents and categories. This means that the overarching perspective might also comprehend inconsistencies that derive from how the various partial perspectives conceptualize differently the geographical world.

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Discrete Analysis of Spatial and Temporal Variability of Geosystems of Baikal Siberia

Cherkashin,

Frolov

2024

Izvestiâ Russkogo geografičeskogo obŝestva

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The discrete spatial and temporal variability of the geosystem characteristics at the regional level (geomes) on the territory of Baikal Siberia has been theoretically and statistically studied. The concepts and equations of a unified quantum theory aimed at a fractional description of processes and phenomena in terms of the functional state of geomes in the Hilbert space of the superposition of functions of the altitude distribution of geosystems were used. Frequency distributions by elevation gradations were determined based on the combination of an electronic geome map and a digital terrain model. Geomes differ in modal height values corresponding to their highest occurrence – optimal conditions of existence in the territory. Distributions are transformed into indicators of integrated hazard, which are statistically transformed into information functions of through quantum theory. The coefficients of variability of these functions in terms of location height are quantized, differ by geomes, which is confirmed by the results of theoretical analysis. A map of the quantum levels of spatial and temporal variability of the geomes of Baikal Siberia and a scheme of spatial and temporal transitions between quantum levels (geomes) are constructed. The methods of forecasting the dynamics and evolution of geosystems are substantiated and new procedures for calculating the quantum variability of the temporal and spatial position of geomes are proposed.

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Is There a Quantum Geography?

Cited by 3 publications

References 29 publications

Does Time Smoothen Space? Implications for Space-Time Representation

Does Time Smoothen Space? Implications for Space-Time Representation

Ontological Perspectivism and Geographical Categorizations

Discrete Analysis of Spatial and Temporal Variability of Geosystems of Baikal Siberia

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