Quantum Field Theory and Mereological Nihilism/Atomism

In summary, research in relativistic quantum mechanics has shown that localized three or four dimensional particles cannot be the basic elements of reality. While a field ontology has been proposed as an explanation, it cannot be proven. This realization has implications for mereology, challenging the assumption that particles are the basic building blocks of reality. Additionally, it raises questions about the nature of mass and the role of fundamental properties in ontology. This also has connections to the concept of monism and the study of quantum field theory. Overall, the understanding that our three dimensional objects are not simply constructed from smaller particles has wide ranging implications for our understanding of reality.
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Research in relativistic quantum mechanics proves, through a series of no-go theorems, that localized three (or four) dimensional particles cannot be the basic elements of reality. It is claimed that a field ontology can explain the appearance of three dimensional particles, but this new idea hasn't (and in principle can't) be proven. It is sufficient for my question to realize, however, that we have proof that three dimensional particles are not the basic elements of reality. See "No place for particles in relativistic quantum theories?" at http://www.journals.uchicago.edu/doi/abs/10.1086/338939 or http://arxiv.org/abs/quant-ph/0103041 and other research at http://www.princeton.edu/~hhalvors/papers/.

The result that three dimensional particles can't be the basic elements of reality is important to mereology in that philosophers have typically assumed physics does claim that particles are basic. This can be seen, for example, in the beginning of Ted Sider's '07 paper responding to mereological priority monism (http://tedsider.org/papers/against_monism.pdf):
Consider nihilism, the thesis that the only objects that exist are the partless elementary particles of physics.3 Although the nihilist says that tables and chairs do not exist, she is quick to add that there do exist “particles arranged tablewise”, “particles arranged chairwise”, and so on.4 Here are three reasons to take nihilism seriously, despite its revisionary nature. (1) Nihilism is not refuted by mere perception. If there were no tables, only particles arranged tablewise, our sensory experience would be the same. (2) Nihilism is not refuted by science. Evidence that leads chemists to posit molecules and economists to posit economies is just as well accounted for by the more cautious posits of the nihilist: particles arranged molecule-wise, particles arranged economy-wise. (3) Nihilists can count ordinary and scientific sentences as being in some sense “correct”, even if they are not strictly true. For instance, ‘there exists a table’ is “correct” iff there exist particles arranged tablewise.5

Typically mereology has been approached by asking what happens when we take an object and chop it up into smaller and smaller bits. Are objects made of infinitely divisible "gunk" or discrete indivisible atoms? It is (naively?) assumed that if you take something of homogeneous density and cut it in half, both halves will maintain the same density. This is supposed to hold true ad infinitum for gunk or until we can't divide anymore for atoms. But what are the implications when we know the basic elements of reality don't have such properties as localized mass or density? If fields or strings or whatever are all that exist, and they don't have such a property as mass, how is is that when we add them up we get an object that we would like to say has mass as one of its essential properties?

Is mass more akin to macroscopic properties like temperature than anything fundamental? If so, what business do anything but fundamental properties have in ontology or mereology?

Is this all just disproof of a particle ontology and further support for Schaffer's top-down priority monism as presented in "Monism: The Priority of the Whole" (http://rsss.anu.edu.au/~schaffer/papers/Monism.pdf )? Or are fields or strings perfectly acceptable mereological simples, even given the mismatch between field properties and the properties of macroscopic objects?

The realization that our three dimensional objects are not simply constructed from smaller three dimensional parts must have wide ranging implications for mereology. What are they?

More reference:
http://plato.stanford.edu/entries/mereology/
http://plato.stanford.edu/entries/monism/
http://plato.stanford.edu/entries/quantum-field-theory/#PhiIss
http://plato.stanford.edu/entries/physics-holism/#QFT
http://plato.stanford.edu/entries/substance/
 
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Naive realsim is only to be found in naive human perception. Calculations in QCD show that more than 90% of mass of matter is due to virtual particles. Some expect that number to reach 100% when the higgs is found.
Most approaches to QG are aiming for background-independence and they treat space and matter as an(emergent) special case of a yet unknown phenomenon. Blackholes are a good example where naive realism hits the wall head-on. Anyway, as you are aware the 3-dimensionality of matter becomes apparent because of superpositions of states of zero-dimensional 'objects' + Pauli's exclusion principle. There is no 3D physical matter without the exchange of virtual particles which form the basis of 3D shapes of physical objects.

The result that three dimensional particles can't be the basic elements of reality is important to mereology in that philosophers have typically assumed physics does claim that particles are basic.


Physics has been borrowing topics from philosophy for the last 100 years, as Lee Smolin likes to put it.


The realization that our three dimensional objects are not simply constructed from smaller three dimensional parts must have wide ranging implications for mereology. What are they?



Did anyone think that reality was perceivable and comprehensible without a mind? We are in a strong causal loop with what we experience.
Anyway, it's so amazing that the classical world we perceive appears so real.
 
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I find this discussion on the relationship between quantum field theory and mereological nihilism/atomism to be intriguing and thought-provoking. It raises important questions about the fundamental nature of reality and the role of particles in our understanding of it.

The no-go theorems mentioned in the content suggest that localized three or four dimensional particles cannot be the basic elements of reality. This challenges the traditional assumption that particles are the building blocks of the universe and raises the possibility that fields or strings may be more fundamental. This idea, while not yet proven, is supported by research in relativistic quantum mechanics.

This has significant implications for mereology, the study of the relationship between parts and wholes. If particles are not the basic elements of reality, then the traditional approach of dividing objects into smaller and smaller parts may need to be reevaluated. It also raises questions about the nature of properties like mass and density, which are often thought to be essential to objects.

Furthermore, this discussion highlights the limitations of a particle ontology and suggests the need for alternative approaches such as top-down priority monism. It also prompts us to reconsider the role of macroscopic properties in ontology and mereology, and whether they can be reduced to more fundamental properties.

In conclusion, the realization that three dimensional particles are not the basic elements of reality has wide ranging implications for both physics and philosophy. It challenges our assumptions about the structure of the universe and calls for a reexamination of traditional concepts in mereology. Further research in this area will undoubtedly shed more light on the fundamental nature of reality and the role of particles in it.
 

Related to Quantum Field Theory and Mereological Nihilism/Atomism

1. What is Quantum Field Theory (QFT)?

Quantum Field Theory is a theoretical framework used to describe the behavior of subatomic particles and their interactions. It combines principles from quantum mechanics and special relativity to explain the fundamental forces and particles in the universe.

2. What is Mereological Nihilism?

Mereological Nihilism is a philosophical stance that denies the existence of composite objects, arguing that the only things that exist are elementary particles. This view is often associated with Atomism, which states that the universe is made up of indivisible particles.

3. How do Quantum Field Theory and Mereological Nihilism relate to each other?

Quantum Field Theory and Mereological Nihilism share a similar view of the fundamental nature of reality. Both theories propose that the universe is made up of indivisible particles and that composite objects are merely illusions. QFT provides a mathematical framework for studying these particles, while Mereological Nihilism offers a philosophical interpretation of their existence.

4. What are the implications of Mereological Nihilism for our understanding of the world?

Mereological Nihilism challenges our everyday understanding of objects and their properties. It suggests that the objects we perceive as solid and continuous are actually made up of smaller, discrete particles. This view also has implications for fields such as metaphysics, epistemology, and ethics, as it raises questions about the nature of reality and our knowledge of it.

5. How does Quantum Field Theory support the concept of Mereological Nihilism?

Quantum Field Theory provides strong evidence for the existence of elementary particles and their interactions. It also supports the concept of Mereological Nihilism by demonstrating that the properties of composite objects can be explained in terms of the properties of their constituent particles. This suggests that composite objects are not fundamental to the universe and can be reduced to their more basic components.

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