Pregeometric quantum lattice: A general discussion

Lehto, M.; Nielsen, Holger Bech; Ninomiya, M.

doi:10.1016/0550-3213(86)90348-2

Cited by 21 publications

(8 citation statements)

References 16 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…An earlier attempt by one of us (24,25) in which the principle of diffeomorphism invariance and quantum theory were both taken into account, revealed that fields on a pregeometric lattice displayed quantum-mechanical correlations. In that work, the quantum-mechanical framework was realized via a path-integral formalism; within it, the requirement of diffeomorphism invariance demanded that one ought to sum over all the vertices n in the partition function Z, thus leading to the appearance of correlations.…”

Section: Beyond the Geometric Ethermentioning

confidence: 98%

“…As to gravitation, Huygens' idea of a Cartesian ether led him to account for it as a vortex around the Earth (pp. [23][24][25][26][27][28].…”

Section: The Mechanical Ethermentioning

confidence: 99%

“…(pp. [18][19][20] Regarding gravitation in the context of his universal law of attraction, Newton did not want to pronounce himself as to its nature. He nonetheless conjectured that it would be absurd to suppose that gravitational effects could propagate without the mediation of an ether.…”

Section: The Mechanical Ethermentioning

confidence: 99%

“…In that work, the quantum-mechanical framework was realized via a path-integral formalism; within it, the requirement of diffeomorphism invariance demanded that one ought to sum over all the vertices n in the partition function Z, thus leading to the appearance of correlations. One the other hand, the said requirement induced a free gas behaviour 19 of the vertices, which helped to avoid the rise of long-range correlations. 20 Although we do not plan to follow this earlier approach, we rescue from it the insinuation that the said principle and quantum theory-the only branch of natural science so far forced to confront the problem of existence 21 -can lead together to the result that physical fields can be mutually correlated in spacetime.…”

Section: Beyond the Geometric Ethermentioning

confidence: 99%

See 3 more Smart Citations

Is Empty Spacetime a Physical Thing?

Meschini

Lehto

2006

Found Phys

View full text Add to dashboard Cite

This article deals with empty spacetime and the question of its physical reality. By "empty spacetime" we mean a collection of bare spacetime points, the remains of ridding spacetime of all matter and fields. We ask whether these geometric objects-themselves intrinsic to the concept of field-might be observable through some physical test. By taking quantum-mechanical notions into account, we challenge the negative conclusion drawn from the diffeomorphism invariance postulate of general relativity, and we propose new foundational ideas regarding the possible observation-as well as conceptual overthrow-of this geometric ether.

show abstract

Section: Beyond the Geometric Ethermentioning

confidence: 98%

“…As to gravitation, Huygens' idea of a Cartesian ether led him to account for it as a vortex around the Earth (pp. [23][24][25][26][27][28].…”

Section: The Mechanical Ethermentioning

confidence: 99%

Section: The Mechanical Ethermentioning

confidence: 99%

Section: Beyond the Geometric Ethermentioning

confidence: 99%

See 2 more Smart Citations

Is Empty Spacetime a Physical Thing?

Meschini

Lehto

2006

Found Phys

View full text Add to dashboard Cite

show abstract

“…Μια πιο συντηρητική άποψη δέχεται ότι η κβαντική φυσική είναι ευκλείδια και ότι η επέκταση σε μακροσκοπικά καμπύλο χωρόχρονο ΟΙ ΔΙΑΦΟΡΕΤΙΚΕΣ ΕΝΝΟΙΕΣ ΤΗΣ ΙΙΡΟΓΕΩΜΕΤΡΙΑΣ μπορεί να γίνει εκ των υστέρων. Η προγεωμετρία θεωρείται ως ένα αφηρημένο σύνολο όλων των δυνατών τοπολογιών, από το οποίο παρά γεται ο χωρόχρονος ως ένα πλέγμα από simplex (Lehto &al 1986). Η ίδια η απόσταση ανάμεσα σε δυο συμβάντα είναι ένα κβαντικό πεδίο.…”

Section: αλλες τασειςunclassified