Supercharge Operator of Hidden Symmetry in the Dirac Equation

As is known, the so-called Dirac $K$-operator commutes with the Dirac Hamiltonian for arbitrary central potential $V(r)$. Therefore the spectrum is degenerate with respect to two signs of its eigenvalues. This degeneracy may be described by some operator, which anticommutes with $K$. If this operator commutes with the Dirac Hamiltonian at the same time, then it establishes new symmetry, which is Witten's supersymmetry. We construct the general anticommuting with $K$ operator, which under the requirement of this symmetry unambiguously select the Coulomb potential. In this particular case our operator coincides with that, introduced by Johnson and Lippmann many years ago.Comment: 3 page

Interview with Samantha Frost, ‘Attentive Body’: Epigenetic Processes and the Self-formative Subjectivity

The interview is a follow up from Samantha Frost’s paper, ‘The Attentive Body: How the Indexicality of Epigenetic Processes Enriches Our Understanding of Embodied Subjectivity’ in Body & Society 26(4): 3-34. Tomoko Tamari invites Frost to explore her interest in ‘biocultural creatures,’ which led a focus on ‘bodies’ responsive self-transformation’ in epigenetic processes, and unfolds Peirce’s account of the index for understanding meaning-making in biological processes. Tamari also introduces Katherine Hayles’s notion of ‘cognitive nonconscious’ to raise the question of the possible theoretical and mechanical similarities/discrepancies between epigenetic processes in organisms and the meaning-making process in computational systems. Drawing on Jacob von Uexkull’s notion of ‘umwelt’ and introducing Yoshimi Kawade’s remarks on a living being’s subjective orientation in environments, a further question about ‘intention’ and ‘subjectivity’ enables Frost to unpack her notion of ‘the attentive self’ and discuss its relation to ‘intentionality’ and ‘referentiality’ in epigenetic processes. Finally, Samantha Frost remarks on current projects that seek to explore the connection between ‘attention-as-responsive-self-transformation and ‘mode-of-living-as-form-of-live’. The biosemiotics view of the living body presented in your paper leads us to go beyond the mechanical view of organism functionality and formation process of subjectivity. This challenge asks us to combine biology and semiotics in order to explore the complex mechanism of meaning-making in organisms and to capture ‘the attentive body’ and ‘embodied subjectivity.’ You argue that the concept of the attentive body helps us make a bridge between the body as matter and mind/subjectivity which natural science usually excludes from its domain

Criminology as Epistemic Necropolitics

I argue in this essay that from 1492 to the present, the Global North has used theories of “crime,” its causation and control, as part of a three-pronged epistemic necropolitical attack on the Global South. I suggest that the emergence of critical criminology and its more recent offshoots, given their dependence on the present or hypothetical war making and coercive state, are themselves a part of the problem. I suggest criminology is a Trojan Horse that brings epistemic toxic waste and destruction in the guise of deterministic theories on crime and its control. Like their Inquisitorial predecessors, I suggest criminology and criminologists are clerical dangers that ought to be avoided by the Global South. Alternatively, I point to scholars that have revolted against the criminological plantation to found sovereign epistemic worldviews and communities that resist the epistemic imperialism of the Global North