8 citations · 20 across the 14 of their papers we have counts for
16 papers
Reply to Hofer-Szabó: the PBR theorem hasn't been saved
Marcoen JTF Cabbolet
Recently, in Found. Phys. 53: 64 (2023), it has been argued that there is no reality to the PBR theorem. In Found. Phys. 54: 36 (2024), Hofer-Szabó has commented that the argument…
A paradox in the quantum-mechanical treatment of destructive measurements on photons
Marcoen J. T. F. Cabbolet, Yves Caudano
Measurements on photons are frequently cited as confirmations of predictions of quantum mechanics (QM), in particular in the context of Bell's theorem. In this paper we show, howev…
Relative consistency of a finite nonclassical theory incorporating ZF and category theory with ZF
Marcoen J. T. F. Cabbolet, Adrian R. D. Mathias
Recently, in Axioms 10(2): 119 (2021), a nonclassical first-order theory T of sets and functions has been introduced as the collection of axioms we have to accept if we want a foun…
Relative consistency of Set Matrix Theory with ZF
Marcoen J. T. F. Cabbolet
Set Matrix Theory (SMT) has been introduced in Log. Anal. 225: 59-82 (2014) as a generalization of ZF, in which matrices constructed from sets are treated as urelements, that is, a…
Addendum to `On the nonreality of the PBR theorem': disproof by generic counterexample
Marcoen J. T. F. Cabbolet
The PBR theorem is widely seen as one of the most important no-go theorems in the foundations of quantum mechanics. Recently, in Found. Phys. 53(3): 64 (2023), it has been argued t…
On the nonreality of the PBR theorem
Marcoen J. T. F. Cabbolet
The PBR theorem has been hailed as one of the most important theorems in the foundations of quantum mechanics (QM), , cf. E. Samuel Reich, "Quantum theorem shakes foundations", Nat…
On the fundamentally probabilistic nature of the knowledge of a microsystem in the framework of the Elementary Process Theory
Marcoen J. T. F. Cabbolet
A fundamental question in the debate about the interpretations of quantum mechanics (QM) is whether the universe is fundamentally deterministic or fundamentally probabilistic. This…
Comment to 'On the reality of the quantum state'
Marcoen J. T. F. Cabbolet
In Nature Phys. 8:475-478 (2012), Pusey, Barrett, and Rudolph have claimed that ψ-epistemic quantum mechanics (QM) is inconsistent with predictions of standard QM. Here we show tha…
A marriage of category theory and set theory: a finitely axiomatized nonstandard first-order theory implying ZF
Marcoen J. T. F. Cabbolet
It is well known that ZFC, despite its usefulness as a foundational theory for mathematics, has two unwanted features: it cannot be written down explicitly due to its infinitely ma…
Hyperreal delta functions as a new general tool for modeling physical states with infinitely high densities
Marcoen J. T. F. Cabbolet
This paper introduces the expanded real numbers as an ordered subring of the hyperreal number field that does not contain any infinitesimals, and defines the set of all integrable…
The Importance of Developing a Foundation for Naive Category Theory
Marcoen J. T. F. Cabbolet
Recently Feferman (Rev. Symb. Logic 6: 6-15, 2013) has outlined a program for the development of a foundation for naive category theory. While Ernst (ibid. 8: 306-327, 2015) has sh…
Berkelian Idealism Regarding Properties in Orthodox Quantum Mechanics, and Implications for Quantum Gravity
Marcoen J. T. F. Cabbolet
Referring to the 18th century idealism of George Berkeley in which an object exists if and only if it is observed, this note shows that orthodox quantum mechanics (OQM) entails a B…
A category mistake in observational claims regarding ultrashort-lived unstable particles
Marcoen J. T. F. Cabbolet
The physics literature contains many claims that ultrashort-lived unstable particles, such as a Higgs boson, have been observed. These claims are a matter of applying the -conv…
Finitely Axiomatized Set Theory: a nonclassical first-order theory implying ZF
Marcoen Cabbolet
It is well-known that a finite axiomatization of Zermelo-Fraenkel set theory (ZF) is not possible in the same first-order language. In this note we show that a finite axiomatizatio…
Set Matrix Theory as a Physically Motivated Generalization of Zermelo-Fraenkel Set Theory
Marcoen J. T. F. Cabbolet, Harrie C. M. de Swart
Recently, the Elementary Process Theory (EPT) has been developed as a set of fundamental principles that might underlie a gravitational repulsion of matter and antimatter. This pap…
Comment to a paper [arXiv:1103.4937] of M. Villata on antigravity
Marcoen J. T. F. Cabbolet
In a recent paper of M. Villata [arXiv:1103.4937], it is claimed that "antigravity appears as a prediction of general relativity when CPT is applied." However, the present paper ar…