Quantum Mechanics, Miscellaneous

I consider whether the discovery of the quantum of action has any bearing on reductive physicalism. More particularly, I consider the arguments of the "new hylomorphists" to the effect that quantum physics sits most comfortably in their anti-reductionist framework.

This paper presents a falsifiable prediction based on A-theories of time, which require both an A-series (future/present/past) and B-series (earlier/simultaneous/later) of time. We make an unusual argument based on the temporal search parameters of YouTube videos, which requires *two* parameters. We make the falsifiable prediction that no interface with just *one* parameter can be made that has the same functionality (as would be asserted in B-theories). This circumstance applies to many areas of human endeavor. We extend this analysis to clocks, (...) showing how sundials, analog clocks, digital clocks, and atomic clocks all fundamentally operate using both temporal series. The progression from hardware to software clocks in computers reveals how both series persist through increasing levels of abstraction. These findings suggest that physics, being fundamentally based on clock measurements, must incorporate both temporal series rather than attempting to reduce one to the other. This approach offers new insights into the relationship between quantum mechanics and relativity, suggesting that quantum mechanics primarily operates in A-series time while relativity operates in B-series time, potentially illuminating why their unification has proven challenging. (shrink)

In this short informal note we consider four Gedankenexperiments that show A-theories of time are compelling and can be leveraged to give a Presentist Fragmentalist realist interpretation of quantum mechanics. Each of these four involve roles for manifest time, relativistic time, and quantum mechanical time. The point is to give simple everyday situations where a new point of view leads to the consistency of all three. This is the MO of the early Einstein. Einstein's Train is one of the Gedankenexperiments (...) considered. (shrink)

ليس بالتفكير نخلق العوالم، بل بفهم العالم نتعلم التفكير. "الرؤية الكونية" هو مصطلح يجب أن يعني مجموعة من الأسس التي تنبثق منها فهم منهجي للكون، ومكوناته كالحياة، والعالم الذي نعيش فيه، والطبيعة، والظواهر البشرية، وعلاقاتها. إنه، بالتالي، مجال من الفلسفة التحليلية يغذيه العلوم، وهدفه هو هذا المعرفة المجمعة والمستدامة معرفيًا عن كل ما نحن عليه ونحتويه، وما يحيط بنا، وما يرتبط بنا بأي شكل من الأشكال. إنه شيء قديم قدم الفكر البشري، وبالإضافة إلى استخدام عناصر من علم الكونيات العلمي، فإنه (...) يشمل كل شيء في الفلسفة والعلوم الذي يشير إلى الكون والحياة. الرؤية الكونية ليست مجموعة من الأفكار والفرضيات والافتراضات بل هي نظام قائم على الملاحظة والتحليل والدليل والتوضيح. لا تهدف أي رؤية كونية إلى التعريف أو التأسيس أو الاقتراح بل فقط إلى الفهم والتحليل والتفسير. كل منا يبني وينقل رؤيته الكونية طوال حياته، دون إنشاء أشكال، كخلفية لتفكيرنا وسلوكنا. لغويًا، قد يشتق مصطلح "الرؤية الكونية" من الألمانية، ويعادل مفهوم "Weltanschauung"، كما استخدمه عدة فلاسفة. ومع ذلك، فإن هذه العلاقة اللغوية غير قابلة للتطبيق لأنها تتعارض مع ما نقترحه كرؤية كونية. تشير هذه الكلمة الألمانية إلى رؤية واقعية قبل منطقية أو أولية، ذات سياق حدسي وبعيدة عن المعرفة النقدية التي لم تكن موجودة بعد في وقت صياغتها. بلا شك، تحتوي الرؤى الكونية، بالمعنى الذي نفهمها، وتستخدم هذه العناصر الأولية أو قبل المنطقية التي تشمل التاريخ واللاوعي الجماعي وكل النماذج التي نحملها. ومع ذلك، في المفهوم الذي نطبقه هنا، تتجاوز الرؤية الكونية هذا المحتوى بكثير، أولاً من خلال إخضاعه باستمرار للتفكير النقدي الحالي، وأخيرًا من خلال جعل التجربة التحليلية (وليس التفكير نفسه أو الحدس) كونها الفعلي. يعرض أنطونيو لوبيس اتساع هذا المحتوى: "الرؤى الكونية ليست نتاج الفكر. لا تنبع من الرغبة البسيطة في المعرفة. إن استيعاب الواقع هو لحظة مهمة في تكوينها، ولكن، مع ذلك، هي واحدة فقط. إنها تأتي من السلوك الحيوي، ومن تجربة تقييم الحياة، ومن هيكل كليتنا النفسية. إن رفع الحياة إلى الوعي في معرفة الواقع، وفي التقييم، وفي الواقع الإرادي هو العمل البطيء والشاق الذي قامت به الإنسانية في تطوير مفاهيم الحياة. (ديلتاي، 1992 [1911]: 120)"(1) في هذا العمل، نسعى إلى تحديد رؤية كونية تستند إلى الحقائق التي تقدمها العلوم اليوم. لا نقترح، في أي وقت، أن نقوم بالعلم؛ أو نظري الفلسفة، لكننا سنسعى دائمًا لأن ندعم بها أو، على الأقل، نحتمي بها من التشوهات المعرفية التي نحملها عادة. (shrink)

The mistake of quantum physics relying on classical physics with its concept of reality confined to mas and space. The mistake of viewing the photon as a particle. The mistake of ignoring the latent identities of entities.

This manuscript delves into the philosophical debate surrounding the Special Composition Question (SCQ), focusing on the causal relationships between objects and their constituent parts. By distinguishing between Weak and Strong Causal Composition, the article explores how causal mechanisms underpin the composition of objects. Theories from notable philosophers, including van Inwagen and Leibniz, are evaluated. This study seeks to bridge the gap between common sense perspectives and principled ontological theories by introducing the concepts of Weak and Strong Causal Composition. The analysis (...) reveals how a causal approach can offer insightful resolutions to longstanding debates in mereology and ontology, emphasizing the role of causality in understanding the essence of material composition. The proposed causal perspective encourages further philosophical inquiry into the foundational principles governing the composition of objects. (shrink)

Pure shape dynamics (PSD) is a novel implementation of the relational framework originally proposed by Julian Barbour and Bruno Bertotti. PSD represents a Leibnizian/Machian approach to physics in that it completely describes the dynamical evolution of a physical system without resorting to any structure external to the system itself. The chapter discusses how PSD effectively describes a de Broglie-Bohm N-body system and the conceptual benefits of such a relational description. The analysis will highlight the new directions in the quest for (...) an understanding of the nature of the wave function that are opened up by a modern relationalist elaboration on de Broglie's and Bohm's original insights. (shrink)

One might suppose that Everettian quantum mechanics (EQM) is inhospitable to metaphysial indeterminacy (MI), given that, as A. Wilson (2020) puts it, "the central idea of EQM is to replace indeterminacy with multiplicity" (77). But as Wilson goes on to suggest, the popular decoherence-based understanding of EQM (henceforth: DEQM) appears to admit of indeterminacy in both world number and world nature, where the latter indeterminacy---our focus here---is plausibly metaphysical. After a brief presentation of DEQM (S1), we bolster the case for (...) there being MI in world nature in DEQM (S2). The remainder of the paper is devoted to a comparative assessment of the two main approaches to MI for purposes of accommodating this MI---namely, a metaphysical supervaluationist approach (as per Barnes and Williams 2011) and a determinable-based approach (as per Wilson 2013 and Calosi and Wilson 2018 and 2021). We briefly describe each approach (S3), then offer arguments in favour of a determinable-based approach to world nature MI in DEQM (S4). (shrink)

The measurement problem concerns an apparent conflict between the two fundamental principles of quantum mechanics, namely the Schrödinger equation and the measurement postulate. These principles describe inconsistent behavior for quantum systems in so-called "measurement contexts." Many theorists have thought that the measurement problem can only be resolved by proposing a mechanistic explanation of (genuine or apparent) wavefunction collapse that avoids explicit reference to "measurement." However, I argue here that the measurement problem dissolves if we accept Humeanism about laws of nature. (...) On a Humean metaphysics, there is no conflict between the two principles, nor is there any inherent problem with the concept of "measurement" figuring into the account of collapse. (shrink)

In this paper we consider the possibility of a Quantum Molinism : such a view applies an analogue of the Molinistic account of free will‘s compatibility with God’s foreknowledge to God’s knowledge of (supposedly) indeterministic events at a quantum level. W e ask how (and why) a providential God could care for and know about a world with this kind of indeterminacy. We consider various formulations of such a Quantum Molinism, and after rejecting a number of options arrive at one (...) seemingly coherent formulation. (shrink)

According to orthodoxy, our best physical theories strongly support Eternalism over Presentism. Our goal is to argue against this consensus, by arguing that a certain overlooked aspect of our best physical theories strongly supports Presentism over Eternalism.

Brief discussion of Niels Bohr's place in the history of philosophy (including his philosophical forebears, Søren Kierkegaard, Rasmus Nielsen, and Harald Høffding).

Quantum theory offers mathematical descriptions of measurable phenomena with great facility and accuracy, but it provides absolutely no understanding of why any particular quantum outcome is observed. It is the province of genuine explanations to tell us how things actually work—that is, why such descriptions hold and why such predictions are true. Quantum theory is long on the what, both mathematically and observationally, but almost completely silent on the how and the why. What is even more interesting is that, in (...) some sense, this state of affairs seems to be a necessary consequence of the empirical adequacy of quantum descriptions. One of the most noteworthy achievements of quantum theory is the accurate prediction of phenomena that, on pain of experimental contradiction, have no physical explanation. It is the purpose of this essay to make clear why quantum mechanics and quantum field theory are complete physical descriptions that describe the metaphysical incompleteness of the physical world, then to press the negative implications of this fact for naturalistic metaphysics. (shrink)

The many worlds interpretation of quantum mechanics (MWI) states that the world we live in is just one among many parallel worlds. It is widely believed that because of this commitment to parallel worlds, the MWI violates common sense. Some go so far as to reject the MWI on this basis. This is despite its myriad of advantages to physics (e.g. consistency with relativity theory, mathematical simplicity, realism, determinism, etc.). Here, we make the case that common sense in fact favors (...) the MWI. We argue that causal explanations are commonsensical only when they are local causal explanations. We present several quantum mechanical experiments that seem to exhibit nonlocal “action at a distance”. Under the assumption that only one world exists, these experiments seem immune to local causal explanation. However, we show that the MWI, by taking all worlds together, can provide local causal explanations of the experiments. The MWI therefore restores common sense to physical explanation. (shrink)

This is Part 2 of a four part paper, intended as an introduction to the key concepts and issues of time directionality for physicists and philosophers. It redresses some fundamental confusions in the subject. These need to be corrected in introductory courses for physics and philosophy of physics students. Here we analyze the quantum mechanical time reversal operator and the reversal of the deterministic Schrodinger equation. It is argued that quantum mechanics is anti-symmetric w.r.t. time reversal in its deterministic laws. (...) This contradicts the orthodox analysis, found throughout the conventional literature on physical time, which claims that quantum mechanics is time symmetric (reversible), and that we must adopt the anti-unitary operator (T*) instead of the unitary time reversal operator (T) for time reversal in quantum mechanics. This is widely claimed as settled scientific fact, and large metaphysical conclusions about the symmetry of time are drawn from it. But it is an error. (shrink)

This is Part 1 of a four part paper, intended to redress some of the most fundamental confusions in the subject of physical time directionality, and represent the concepts accurately. There are widespread fallacies in the subject that need to be corrected in introductory courses for physics students and philosophers. We start in Part 1 by analysing the time reversal symmetry of quantum probability laws. Time reversal symmetry is defined as the property of invariance under the time reversal transformation, T: (...) t --> -t. It is shown that quantum mechanics (classical or relativistic) is strongly time asymmetric in its probability laws. This contradicts the orthodox analysis, found throughout the conventional literature on physical time, which claims that quantum mechanics is time symmetric or reversible. This is widely claimed as settled scientific fact, and large philosophical and scientific conclusions are drawn from it. But it is an error. The fact is that while quantum mechanics is widely claimed to be reversible on the basis of two formal mathematical properties (that it does have), these properties do not represent invariance under the time reversal transformation. A recent experiment (Batalhão at alia, 2015) showing irreversibility of quantum thermodynamics is discussed as an illustration of this result. Most physicists remain unaware of the errors, decades after they were first demonstrated. Orthodox specialists in the philosophy of time who are aware of the error continue to refer to the ‘time symmetry’ or ‘reversibility’ of quantum mechanics anyway – and exploit the ambiguity to claim false implications about physical time reversal symmetry in nature. The excuse for perpetrating the confusion is that, since it is has now become customary to refer to the formal properties of quantum mechanics as ‘reversibility’ or ‘time reversal symmetry’, we should just keep referring to them by this name, even though they are not time reversal symmetry. This causes endless confusion, in attempts to explain the physical irreversibility of our universe, and in philosophical discussions of implications of physics for the nature of time. The failure of genuine time reversal symmetry in quantum mechanics changes the interpretation of modern physics in a deep way. It changes the problem of explaining the real irreversibility found throughout nature. (shrink)

Eine Rezension des Buches "Every Thing Must Go - Metaphysics Naturalized" von James Ladyman und Don Ross.

Observations on why is there something rather than nothing, fine tuning, beauty, time, intelligent design, qualia, Zen, Bach, Jesus, poetry, consciousness.

Il existe trois problèmes majeurs dans la conception d'une théorie de la gravité quantique: la théorie quantique et la relativité générale présentent en elles-mêmes des problèmes conceptuels importants, les bases fondamentales disparates des deux théories génèrent de nouveaux problèmes majeurs en essayant de les combiner, et le contraste entre l'absence d'une théorie de la gravité quantique satisfaisante et des théories des ingrédients réussis soulèvent des questions sur la nature et la fonction de la discussion philosophique de la gravité quantique. DOI: (...) 10.13140/RG.2.2.31430.91203. (shrink)

We expect the laws of nature that describe the universe to be exact, but what if that isn't true? In this popular science article, I discuss the possibility that some candidate fundamental laws of nature, such as the Past Hypothesis, may be vague. This possibility is in conflict with the idea that the fundamental laws of nature can always and faithfully be described by classical mathematics. -/- [Bibliographic note: this article is featured on the magazine website under a different title (...) as "The fuzzy law that could break the idea of a mathematical universe" and on the magazine cover as "The Flaw at the Heart of Reality: Why precise mathematical laws can never fully explain the universe." It is a popular version of the article "Nomic Vagueness" that can be found on arXiv: 2006.05298.]. (shrink)

The paper portrays the influence of major philosophical ideas on the 1935 debates on quantum theory that reached their climax in the paper by Einstein, Podosky and Rosen, and describes the relevance of these ideas to the vast impact of the paper. I claim that the focus on realism in many common descriptions of the debate misses important aspects both of Einstein's and Bohr's thinking. I suggest an alternative understanding of Einstein's criticism of quantum mechanics as a manifestation of the (...) same methodological principles that served him in the construction of the special and the general theories of relativity. These principles address, in a very specific way, the relation of the theoretical mathematical representations to the represented physical systems. These ideas, I claim, played a key role in the influence of the paper on later works that changed our understanding of quantum theory despite the rejection of EPR's central conclusion. (shrink)

This opinion revolves around the discussion of matters that are beyond the realm of space-time. For instance, it discusses parallel universes, wormholes, and extrasensory perception or psi. Rationality is operationally defined. The opinion throws light on the manner in which the lines of rationality become unclear when it takes into consideration extrasensory phenomena. In addition, it contends that psychiatric disorders such as Schizophrenia are the result of contact from different parallel universes. Hence, Schizophrenia according to this paper is not a (...) disorder by itself but rather just a communication of messages from an alternate reality. Also, another psychological disorder called Dissociative Identity Disorder is also the result of different souls in one person or communication from different souls from parallel universes. Whether atoms are conscious or not is debatable but can be a possibility due to their eerie and unpredictable nature. The concept of parallel universes introduces a paradoxical manner of thinking, which is dealt with in the paper. The paper concerns itself with issues in quantum physics, clubbed with extrasensory perception in parapsychology. It subtly emphasizes rational thinking in the debate about space-time and beyond. Rationality as a concept is dealt with from different angles. Finally, quantum cognition is used to explain an all too familiar, pervasive yet inexplicable domain of knowledge, which is human behaviour. (shrink)

The main claim of this study is that, contrary to Latour’s view about the need to leave aside epistemology to deal with anything valuable about science, Mario Bunge has consistently built up a detailed and thorough epistemology. The argumentative strategy will be to show that (a) it is not true that we have never been modern (b) epistemology is here to stay, and (c) Mario Bunge endorses a strong scientific realism, a brand of materialism, systemism and emergentism, including a moral (...) dimension (there are objective values like, truth, peace and justice that deserve to be respected). Then, Bunge’s realism rejects axiological neutrality making scientists responsible for their actions. Bunge has always been modern and keeps enriching his own views. (shrink)

Tous les chercheurs intéressés aux fondements de la théorie quantique s’entendent sur le fait que celle-ci a profondément modifié notre conception de la réalité. Là s’arrête, toutefois, le consensus. Le formalisme de la théorie, non problématique, donne lieu à plusieurs interprétations très différentes, qui ont chacune des conséquences sur la notion de réalité. Cet article analyse comment l’interprétation de Copenhague, l’effondrement du vecteur d’état de von Neumann, l’onde pilote de Bohm et de Broglie et les mondes multiples d’Everett modifient, chacun (...) à sa manière, la conception classique de la réalité, dont le caractère local, en particulier, requiert une révision. (shrink)

Cette étude défend l’idée que, contrairement à l’opinion de Latour sur la nécessité de laisser de côté l’épistémologie pour traiter de tout ce qui a de la valeur pour la science, Mario Bunge a systématiquement construit une épistémologie détaillée et approfondie. La stratégie argumentative consistera à montrer (a) qu’il est faux que nous n’avons jamais été modernes (b) que l’épistémologie est là pour de bon et (c) que Mario Bunge soutient un réalisme scientifique fort, une version du matérialisme, du systémisme (...) et de l’émergentisme, comportant une dimension morale (il existe des valeurs objectives comme la vérité, la paix et la justice qui méritent d’être étudiées). Ensuite, le réalisme de Bunge rejette la neutralité axiologique rendant les scientifiques responsables de leurs actions. Bunge a toujours été moderne et continue à enrichir ses propres positions. (shrink)

We define and develop a notion of spacetime that incorporates both McTaggart's A-series and his B-series that is consistent with special relativity. This 'McTaggartian spacetime' or 'AB-spacetime' requires *five* not *4* variables. The interface of two AB-spacetimes from different *ontological perspectives* is quantum mechanical. This note concentrates on the physics and not the philosophy. This is an invitation to contribute to a theory that is a work in progress.

We motivate and develop a new theory of time and apply it to a few thought experiments in physics.

The purpose of this note is to show how an 'AB-series' interpretation of time leads, surprisingly, apparently, to AdS_5 geometry. This is not a theory of 2 time dimensions. Rather, it is a theory of 1 time dimension that has both A-series and B-series characteristics. To summarize the result, a spacetime in terms of (1) the earlier-to-later aspect of time, and (2) the (related) future-present-past aspect of time, and (3) 3-d space, it would seem, gives us the AdS_5 geometry.

The philosopher of chemistry Andrea Woody has recently published a wide-ranging article concerning the turn to practice in the philosophy of science. Her primary example consists of the use of different forms of representations by Lothar Meyer and Mendeleev when they presented their views on chemical periodicity. Woody believes that this distinction can cast light on various issues including why Mendeleev was able to make predictions while Meyer was not. Secondly, she claims that it can clarify the much-debated question concerning (...) the relative values of prediction and accommodation of data in the way that the periodic system was accepted. Thirdly, Woody believes that such differences in the representation of periodicity can be used to argue for the explanatory nature of the periodic table in contrast with the more traditional view that the periodic table is not explanatory. (shrink)

Since 2015, incredible many have published UNBELIEVABLE similar ideas to my ideas published between 2002-2008!!! There were others who published UNBELIEVABLE similar ideas to my ideas even earlier (since 2008, in general), but the number has an incredible jump after 2014. Why? In 2014, I have sent emails to thousands of people (many countries, many domains (Physics, Philosophy, and Cognitive Science)) regarding the UNBELIEVABLE similarities between my ideas (2002-2008) and Markus Gabriel’s ideas (his book from 2013). Is it this a (...) coincidence? I don’t believe so… Why so many people from so many countries from so many domains on so many topics have published UNBELIEVALBE similar ideas to my ideas (2002-2008 and later)? Because I have changed EVERYTHING! (shrink)

I investigate the UNBELIEVABLE similarities between the ideas of Oreshkov et al. and my ideas. In fact, their framework (the ontological background) is UNBELIEVABLE similar to my EDWs perspective!

In this paper, I investigate the UNBELIEVABLE similarities between Chiribella et al.’ ideas and my ideas. My main question is: “How was it possible these authors to elaborate their thought experiments without having an ontological background? The answer would be: there are geniuses, of course….

(March 2019) UNBELIEVALBE similar ideas, UNBELIEVABLE similar framework of the article on “quantum mechanics” written by Proietti et al (2019) with my EDWs (2002-2008) -/- Gabriel Vacariu -/- The article that I investigate in this section is -/- (2019) Experimental rejection of observer-independence in the quantum world -/- Massimiliano Proietti,1 Alexander Pickston,1 Francesco Graffitti,1 Peter Barrow,1 Dmytro Kundys,1 Cyril Branciard,2 Martin Ringbauer,1, 3 and Alessandro Fedrizzi1 at arXiv:1902.05080v1 [quant-ph] 13 Feb 2019 -/- In the article written by Proietti et al. (...) (2019), there are UNBLELIEVABLE similar ideas to my ideas (2002-2008); in fact, the framework of this article seems UNBELIEVABLE similar to my framework, the EDWs perspective!!!! I applied my EDWs to quantum mechanics (getting micro-EW, wave-EW), to Einstein’s special relativity getting EDWs for those two observers (one in the train and one on the pavement), to microparticles and macro-objects (EDWs), etc. -/- The authors of this article work in an UNBELIEVABLE similar framework (see below details), and applied this framework to quantum mechanics referring to the relationship between two observers and the microparticle. In this way, they get EDWs for the same microparticle. However, I have done exactly the same application to Einstein’s special relativity. I emphasize that it would be necessary my EDWs to apply this framework to the same particle. In my book 2014, if the reader replaces the macro-objects with the microparticle, there would obtain exactly the EDWs for the microparticle that can be found in this article! Amazing it is the fact that the authors, having no background in philosophy and having no new theory on quantum mechanics, have discovered the existence of observer-independent “facts of the world” (that are exactly my EDWs!!!). Obviously, the authors are geniuses like sean carroll, markus Gabriel, carolo rovelli, and so many from my manuscript referring to UNBELIEVABLE similarities (see the bibliography at the end of this article!) . (shrink)

Traditionally Ψ is used to stand in for both the mathematical wavefunction (the representation) and the quantum state (the thing in the world). This elision has been elevated to a metaphysical thesis by advocates of the view known as wavefunction realism. My aim in this paper is to challenge the hegemony of the wavefunction by calling attention to a little-known formulation of quantum theory that does not make use of the wavefunction in representing the quantum state. This approach, called Lagrangian (...) quantum hydrodynamics (LQH), is not an approximation scheme, but rather a full alternative formulation of quantum theory. I argue that a careful consideration of alternative formalisms is an essential part of any realist project that attempts to read the ontology of a theory off of the mathematical formalism. In particular, I show that LQH undercuts the central presumption of wavefunction realism and falsifies the claim that one must represent the many-body quantum state as living in a 3n-dimensional configuration space. I conclude by briefly sketching three different realist approaches one could take toward LQH, and argue that both models of the quantum state should be admitted. When exploring quantum realism, regaining sight of the proverbial forest of quantum representations beyond the Ψ is just the first step. (shrink)

I examine the epistemological debate on scientific realism in the context of quantum physics, focusing on the empirical underdetermin- ation of different formulations and interpretations of QM. I will argue that much of the interpretational, metaphysical work on QM tran- scends the kinds of realist commitments that are well-motivated in the light of the history of science. I sketch a way of demarcating empirically well-confirmed aspects of QM from speculative quantum metaphysics in a way that coheres with anti-realist evidence from (...) the history of science. The minimal realist attitude sketched withholds realist com- mitment to what quantum state |Ψ⟩ represents. I argue that such commitment is not required for fulfilling the ultimate realist motiva- tion: accounting for the empirical success of quantum mechanics in a way that is in tune with a broader understanding of how theoretical science progresses and latches onto reality. (shrink)

The appearance of negative terms in quasiprobability representations of quantum theory is known to be inevitable, and, due to its equivalence with the onset of contextuality, of central interest in quantum computation and information. Until recently, however, nothing has been known about how much negativity is necessary in a quasiprobability representation. Zhu :120404, 2016) proved that the upper and lower bounds with respect to one type of negativity measure are saturated by quasiprobability representations which are in one-to-one correspondence with the (...) elusive symmetric informationally complete quantum measurements. We define a family of negativity measures which includes Zhu’s as a special case and consider another member of the family which we call “sum negativity.” We prove a sufficient condition for local maxima in sum negativity and find exact global maxima in dimensions 3 and 4. Notably, we find that Zhu’s result on the SICs does not generally extend to sum negativity, although the analogous result does hold in dimension 4. Finally, the Hoggar lines in dimension 8 make an appearance in a conjecture on sum negativity. (shrink)

This work is a conceptual analysis of certain recent developments in the mathematical foundations of Classical and Quantum Mechanics which have allowed to formulate both theories in a common language. From the algebraic point of view, the set of observables of a physical system, be it classical or quantum, is described by a Jordan-Lie algebra. From the geometric point of view, the space of states of any system is described by a uniform Poisson space with transition probability. Both these structures (...) are here perceived as formal translations of the fundamental twofold role of properties in Mechanics: they are at the same time quantities and transformations. The question becomes then to understand the precise articulation between these two roles. The analysis will show that Quantum Mechanics can be thought as distinguishing itself from Classical Mechanics by a compatibility condition between properties-as-quantities and properties-as-transformations. -/- Moreover, this dissertation shows the existence of a tension between a certain "abstract way" of conceiving mathematical structures, used in the practice of mathematical physics, and the necessary capacity to specify particular states or observables. It then becomes important to understand how, within the formalism, one can construct a labelling scheme. The “Chase for Individuation” is the analysis of different mathematical techniques which attempt to overcome this tension. In particular, we discuss how group theory furnishes a partial solution. (shrink)

I put forward a micro realistic, probabilistic version of quantum theory, which specifies the precise nature of quantum entities thus solving the quantum wave/particle dilemma, and which both reproduces the empirical success of orthodox quantum theory, and yields predictions that differ from orthodox quantum theory for as yet unperformed experiments.

An overview of my work arguing that peer-to-peer computer networking (the Peer-to-Peer Simulation Hypothesis) may be the best explanation of quantum phenomena and a number of perennial philosophical problems.

Я интерпретирую философские взгляды Вернера Гайзенберга как прагматизм и неметафизический реализм виттгенштайновского типа. «Замкнутая теория» – виттгенштайновское правило/концепт. В отличие от Бокулич, предпочитающей позицию Дирака относительно природы связей между различными физическими теориями, я отдаю предпочтение позиции Гайзенберга. Моя позиция, интерпретирующая Гайзенберга, также прямо противоположна позиции Поппера: критерием устоявшейся научной (замкнутой) теории является её нефальсифицируемость. -/- I interpret philosophical views of Werner Heisenberg as a pragmatism and non-metaphysical realism of a Wittgensteinian kind. The “closed theory” is a Wittgensteinian rule/concept. Unlike Alisa (...) Bokulich, favouring Dirac’s position about inter-theoretical relations, I favour Heisenberg’s one. My position, interpreting Heisenberg’s notion of a closed theory, is also in direct opposition to Popper’s one: the criterion of an established scientific (closed) theory is its non-falsifiability. (shrink)

The title of the present book suggests that scientific results obtained in mathematics and quantum physics can be in some way related to the question of the existence of God. This seems possible to us, because it is our conviction that reality in all its dimensions is intelligible. The really impressive progress in science and technology demonstrates that we can trust our intellect, and that nature is not offering us a collection of meaningless absurdities. We first of all intend to (...) show with results taken from mathematics and quantum physics: Mathematical Undecidability: man will never have a universal method to solve any mathematical problem. In arithmetic there always will be unsolved, solvable problems. Quantum Nonlocality: certain phenomena in nature seem to imply the existence of correlations based on faster-than-light influences. These influences, however, are not accessible to manipulation by man for use in, for example, faster than light communication. In the various contributions pieces of a puzzle are offered, which suggest that there exists more than the world of phenomena around us. The results discussed point to intelligent and unobservable causes governing the world. One is led to perceive the shade of a reality which many people would call God. (shrink)

The biochemistry of geotropism in plants and gravisensing in e.g. cyanobacteria or paramacia is still not well understood today [1]. Perhaps there are more ways than one for organisms to sense gravity. The two best known relatively old explanations for gravity sensing are sensing through the redistribution of cellular starch statoliths and sensing through redistribution of auxin. The starch containing statoliths in a gravity field produce pressure on the endoplasmic reticulum of the cell. This enables the cell to sense direction. (...) Alternatively, there is the redistribution of auxin under the action of gravity. This is known as the Cholodny-Went hypothesis [2], [3]. The latter redistribution coincides with a redistribution of electrical charge in the cell. With the present study the aim is to add a mathematical unified field explanation to gravisensing. (shrink)

I maintain that quantum mechanics is fundamentally about a system of N particles evolving in three-dimensional space, not the wave function evolving in 3N-dimensional space.

Quantum mechanics, like any physical theory, comes equipped with many metaphysical assumptions and implications. The line between metaphysics and physics is often blurry, but as a rough guide, one can think of a theory’s metaphysics as those foundational assumptions made in its interpretation that are not usually directly tested in experiment. In classical mechanics some examples of possible metaphysical assumptions are the claims that forces are real, that inertial mass is primitive, and that space is substantival. The distinctive feature of (...) these claims is that they are all rather far removed from ordinary tests of the theory. Newton defended all three of the above claims at one time or other, whereas Mach attacked each one; however, both scientists agreed on enough of the formalism and its connection to experiment to predict (e.g.) the same periods for given pendulums. What they disagreed about were the ingredients necessary to use classical mechanics to explain and understand the world. (shrink)

According to D. Bohm’s interpretation of quantum mechanics, a particle always has a well-defined spatial trajectory. A change in boundary conditions can nonlocally change that trajectory. In this note we point out a striking instance of this phenomenon that is easy to understand qualitatively.

In this paper I examine the role of dispositional properties in the most frequently discussed interpretations of non-relativistic quantum mechanics. After offering some motivation for this project, I briefly characterize the distinction between non-dispositional and dispositional properties in the context of quantum mechanics by suggesting a necessary condition for dispositionality – namely contextuality – and, consequently, a sufficient condition for non-dispositionality, namely non-contextuality. Having made sure that the distinction is conceptually sound, I then analyze the plausibility of the widespread, monistic (...) ontological thesis about the reducibility of dispositional properties to categorical properties in the context of the philosophy of quantum mechanics. I conclude that with the exception of Bohmian mechanics, the other “minimally realist” views of quantum mechanics require essential dispositions, i.e., dispositions of a non-reducible kind. Interestingly, seen behind the lenses of dispositionalism, Bohr’s and Bohm’s interpretations of quantum mechanics are much closer than it is usually recognized, a fact that could teach us something about the way the quantum world is. (shrink)

Critically growing problems of fundamental science organisation and content are analysed with examples from physics and emerging interdisciplinary fields. Their origin is specified and new science structure (organisation and content) is proposed as a unified solution.

In this paper I outline my propensiton version of quantum theory (PQT). PQT is a fully micro-realistic version of quantum theory that provides us with a very natural possible solution to the fundamental wave/particle problem, and is free of the severe defects of orthodox quantum theory (OQT) as a result. PQT makes sense of the quantum world. PQT recovers all the empirical success of OQT and is, furthermore, empirically testable (although not as yet tested). I argue that Einstein almost put (...) forward this version of quantum theory in 1916/17 in his papers on spontaneous and induced radiative transitions, but retreated from doing so because he disliked the probabilistic character of the idea. Subsequently, the idea was overlooked because debates about quantum theory polarised into the Bohr/Heisenberg camp, which argued for the abandonment of realism and determinism, and the Einstein/Schrödinger camp, which argued for the retention of realism and determinism, no one, as a result, pursuing the most obvious option of retaining realism but abandoning determinism. It is this third, overlooked option that leads to PQT. PQT has implications for quantum field theory, the standard model, string theory, and cosmology. The really important point, however, is that it is experimentally testable. I indicate two experiments in principle capable of deciding between PQT and OQT. (shrink)

This is a review of *From Physics to Philosophy* (edited by Jeremy Butterfield and Constantine Pagonis).