Notes on: Barad K (2016) What is the Measure of Nothingness? Infinity, Virtuality, Justice. I00 Notes,No 99, dOCUMENTA (13) Hatje Cantz.  Online: http://deeptimechicago.org/wp-content/uploads/2016/10/barad-k-what-is-the-measure-of-nothingness.pdf [also in German]

Dave Harris

We should 'let the emptiness speak for itself' (4). Nothingness may have 'nuances and subtleties' but how could we listen to them? What does define scale in the void? What is the measure of nothingness. There are paradoxes with investigating vacuums — illuminating one introduces photons, for example. We end with 'the mutually exclusive conditions of im/possibility' in Böhr.

Measurements involve measurement apparatuses, which are themselves 'agential practices… performative' (5), both constituting and being constituted, that is intra-actions. Matter and meaning 'are co-constituted in measurement intra-actions'. Thus it matters how we explore something, as in the two slit experiment variations — the objects are different, we are grasping 'the very nature of nature'(6) With quantum ontology there are no pre-existing individual objects determinate qualities, nor concepts with determinate meanings. The specifics are 'enacted through specific intra-actions', (7) and phenomena are 'contingent configurations of mattering '. There is inherent ontological indeterminacy, only partially resolved in materialisation of phenomena, and this determinacy always involves 'constitutive exclusions (that which must remain indeterminate)'. Intra-actions make a difference, cut together–apart, and tangling–differentiating as 'one move'.

Intra-actions are not limited to human practices, but are 'ontologically poignant matters that go to the very nature of matter itself' (8). Ontological indeterminacy is at its heart. The very nature of existence and nonexistence is the issue, and the conditions and possibilities that produce either. So the question can be what generates 'the structure of nothingness' — 'the vacuum is no doubt doing its own experiments with non/being' [typical exaggeration and homonymy,  referred to her own work and saying 'the larvae of sunburst diving beetles come equipped with bifocal lenses', and photons of different frequencies 'are capable of probing different length scales without any human assistance' {so zooming in, which stands for human exploration here is not uniquely human}].

There is non- ending dynamism between determinacy and indeterminacy.. We cannot definitely assert that there is zero energy in the vacuum, so the void is not just nothing '(while not being something)' (9), and this may be 'the source of all that is, a womb that births existence' [followed by another exaggeration 'birth and death are not the sole prerogative of the animate world… Particles can be born and particles can die {she is quoting another quantum physicist here}, and this is what has led to the development of QFT].

[Really good bit here] QFT combines electromagnetic theory, special relativity and quantum mechanics and helps us understand the quantum vacuum and its implications. There are fluctuations of the quantum vacuum 'around a value of zero for its energy' [note 8 explains]. What are these fluctuations? We need to grasp the nature of a field, 'something that has a physical quantity associated with every point in space-time' (10) [with the illustration being the pattern made by iron filings as marks of a specific configuration of a magnetic field]. We can think of a field as 'an infinite drumhead that can be assigned a time–varying displacement value at each point in space'. Zero values mean no displacement or vibration, when the drumhead is static, nothing vibrates, no waves of energy flow outwards and no waves move across the surface. In classical field theory, the perfectly still drumhead represents the classical vacuum, but in quantum physics, we are going to assume that 'only certain discrete vibrational states exist' [because we have quantised]. If we add the notion from special relativity that energy and matter are equivalent, vibrations of the field carry energy in discrete states so we can assign a mass value to each energy state — we have the equivalent of 'existence of particles of matter with a particular mass' (11).

There is no drummer tapping the drum, and yet we cannot be sure that the drumhead is still — 'rather, there is no determinate fact of the matter'. We are left with 'indeterminate vibrations of the vacuum or zero energy state'(11). The mass values can be seen as virtual particles, 'quanta of the vacuum fluctuations… Quantised indeterminacies–in–action'.

Usually virtual particles are very short lived so they can't really be detected 'and hence are [deemed] not real', but we can re-conceive virtuality away from classical physics — instead of a rapid popping in and out of existence, we can see this as 'the indeterminacy of being/nonbeing, a ghostly non-/existence' (12). The classic view can ignore these divergences from pure nothingness because they are so rapid, but this implies seeing nothingness as operating like 'a financial wheeler dealer' but this is 'ethically questionable'. [Note 10 says that the whole issue of energy time uncertainty is far from settled, and there is recent research that talks about indeterminacy instead of uncertainty, and ontological matter not epistemological doubts — a certain P Busch is quoted, as his her own work on Heisenberg versus Böhr --especially good in Barad 2010].

[Back to one of her favourite metaphors] 'not even nothing can be free of ghosts [note 11 points to her own materialist readings of Derrida in Barad 2010, and here they are referenced properly — is the Astrid Schrader the same Schrader referred to as guiding the experiments on quantum erasure?]. 'No determinate words are spoken by the vacuum, only a speaking silence that is neither silence nor speech', but only conditions of im/possibility. There is an infinite number of these 'but not everything is possible' because the vacuum is not empty but neither does it have anything in it [still vague and mysterious, and still no allowance for the possibilities of constraint by what has been made possible before].

Virtual particles are 'of the void' (13) on the edge of non/being. The void is in tension, 'the vacuum is flush with yearning, bursting with innumerable imaginings of what could be'. There is a cacophony in the silence, 'ready to erupt, but simultaneously crosscut by a disruption, dissipating, dispersing',  a blank page with 'would-be traces' of equations and words. ' A jubilation of emptiness'.

There are material effects of yearning and imagining [daft Really means -- 'what I have called yearning etc has a material explaination in later work] . Virtual particles are still real, with a reference to an article in New Scientist [Battersby, November 20, 2008] where protons and neutrons acquire mass not from quarks but from 'contributions from virtual particles'(14). For classical physics particles stand on their own in the void, but for QFT the particle is 'inseparable from the vacuum', for example the electron is structureless, and gets 'dressed' following 'intra-actions with virtual particles' which also mediate exchanges — 'for example, an electron may intra–act with itself through the exchange of the virtual photon or some other virtual particle, and that virtual particle may further engage in other virtual intra actions'. The number of possibilities is infinite [in principle] although 'not every intra-action is possible'.

The mass of the electron is composed of 'the energy–mass of this infinite number of virtual intra-actions', although the mass of the electron is 'clearly finite'. The explanation is that the lone or 'bare' point particle's contribution to its mass is infinite as well, but infinitely negative — so we add the two infinities together to produce a finite number, one that happens to match the empirical mass of the electron [note 13 explains that not all infinities are the same size — the number of real numbers is larger than the number of integers, because the former cannot be counted] [sounds suspiciously neat]. So electrons actually contain a cloud of virtual particles, and this is apparently supported by measurable consequences like the Lamb shift [note 14 refers us to a Wikipedia explanation which is 'relatively accessible'].

So small bits of matter are actually an enormous multitude, and each individual one 'is made up of all possible histories of virtual intra-actions with all Others' [are not at all sure why this one is capitalised]. We have put indeterminacy at the heart of identity and nonbeing. We can agree with Derrida that identity only confirms itself by opening up to a difference from itself or with itself [although of course he meant entirely humanistic selves and others in a social context]. We are all in debt, one 'that is the condition of possibility of giving/receiving' (16).

So paradoxically indeterminacy, infinite openness 'is the condition for the possibilities of all structures' (16). Matter itself 'is a dynamic play of in/determinacy', never settled, never closed because indeterminacy is integral to it, 'not supplementary'. Nothingness is not absence but rather 'the infinite plenitude of openness'. We have also materialised the notion of infinity and stopped it becoming 'mere mathematical idealisations'. It is now an 'incarnate mark[s] of in/determinacy' [a great example of abduction here, following through implications as if they were real and then thinking implications back to theory -- we can solve problems of the electron's mass if we work through the business of subtracting infinities, and when we have done this, we have materialised infinity]. 'Material "finities" [are] af/finities'.

This shows the inadequacies of representation, because it cannot convey 'even the palest shadow of the Infinite' and has abandoned any attempt to deal with the transcendent. [She seems to mean Plato here — he is the archetype naive realist and representationalist?] But there are 'whispered murmurings of infinity immanent in even the smallest details'. Infinity 'is the ongoing material reconfiguration of nothingness; and finity is not its flattened and foreshortened projection on a cave wall, but an infinite richness'. (17). Finitude is not a lack. The finite can hold the infinite, because 'infinite agential resources of undecidability/indeterminacy…  are always already at play' (18). We should not see infinity and nothingness as the termination points on a line — they are 'infinitely threaded through one another so that every infinitessimal  bit of one already contains the other'. [Then some bolt-on ethics depending on all that stuff about responsibility towards others and respect for difference — 'the possibilities for justice – to – come reside in every morsel of finitude'.

[Really interesting elaboration of the argument in earlier pieces, like Barad 2010 about vacuum fluctuations. Some excellent examples of exaggeration as well and homonymy with Derrida]

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