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Foundations, Volume 3, Issue 4

2023 December - 7 articles

Cover Story: The paper analyzes measurements of time in the context of our most fundamental theory for relativistic quantum physics, namely Quantum Field Theory. We show that the probabilities for the time of detection of particles by an apparatus always have a small contribution that corresponds to faster-than-light transmission of information. We show that this term is not an artefact of mathematical idealizations. It originates from a fundamental conflict of signal propagation between the classical theory of fields and quantum theory. Since such terms violate a fundamental principle of relativity, they must somehow be removed. We discuss possible ways of doing so, and we conclude that the main solutions are either that their signal is drowned from the noise due to vacuum, or we need a completely new theory for quantum measurements that will incorporate time irreversibility. View this paper
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Articles (7)

  • Article
  • Open Access
6 Citations
6,920 Views
17 Pages

Assessment of Humic and Fulvic Acid Sorbing Potential for Heavy Metals in Water

  • Eirini S. Papadaki,
  • Theodoros Chatzimitakos,
  • Vassilis Athanasiadis,
  • Dimitrios Kalompatsios,
  • Eleni Bozinou,
  • Paraskevi Mitlianga and
  • Stavros I. Lalas

7 December 2023

Pollution of water sources with heavy metals is a pressing environmental issue. To this end, various procedures are being used to remediate water, including sorption. The aim of this study was to investigate the effectiveness of humic acids (HAs) and...

  • Article
  • Open Access
1,577 Views
25 Pages

6 December 2023

We investigate the spatial discretization of a stochastic semilinear superdiffusion problem driven by fractionally integrated multiplicative space–time white noise. The white noise is characterized by its properties of being white in both space...

  • Article
  • Open Access
1,519 Views
28 Pages

Common Fixed-Point Theorems for Families of Compatible Mappings in Neutrosophic Metric Spaces

  • Umar Ishtiaq,
  • Khaleel Ahmad,
  • Farhan Ali,
  • Moazzama Faraz and
  • Ioannis K. Argyros

30 November 2023

Sets, probability, and neutrosophic logic are all topics covered by neutrosophy. Moreover, the classical set, fuzzy set, and intuitionistic fuzzy set are generalized using the neutrosophic set. A neutrosophic set is a mathematical concept used to sol...

  • Article
  • Open Access
1 Citations
1,808 Views
14 Pages

29 November 2023

We analyze time-of-arrival probability distributions for relativistic particles in the context of quantum field theory (QFT). We show that QFT leads to a unique prediction, modulo post-selection that incorporates properties of the apparatus into the...

  • Review
  • Open Access
2,486 Views
64 Pages

Ostrowski-Type Fractional Integral Inequalities: A Survey

  • Muhammad Tariq,
  • Sotiris K. Ntouyas and
  • Bashir Ahmad

13 November 2023

This paper presents an extensive review of some recent results on fractional Ostrowski-type inequalities associated with a variety of convexities and different kinds of fractional integrals. We have taken into account the classical convex functions,...

  • Article
  • Open Access
1,554 Views
17 Pages

30 October 2023

We carried out a local comparison between two ninth convergence order schemes for solving nonlinear equations, relying on first-order Fréchet derivatives. Earlier investigations require the existence as well as the boundedness of derivatives o...

  • Article
  • Open Access
1 Citations
3,164 Views
9 Pages

29 September 2023

I. The arena of quantum mechanics and quantum field theory is the abstract, unobserved and unobservable, M-dimensional formal Hilbert space ≠ spacetime. II. The arena of observations—and, more generally, of all events (i.e., everything) in the real p...

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Foundations - ISSN 2673-9321