Aether, Field, Manifold:
Transcendental Aesthetic

Instructor: Joel White
Program: Critical Philosophy, Transdiciplinary Studies
Credit(s): 1
Date: June 14,21,28, July 5
Time: 09:00-11:30 ET

Enroll – 225 USD :

DESCRIPTION: From Descartes to Feynmann via Faraday and Einstein, the notion of some abstracted spatiotemporal domain in which matter and its motions interact has posited as the fundamental ground of physical theory. As Kant demonstrated in the “Transcendental Aesthetic” of the Critique of Pure Reason, such a formal geometric ground is one of the necessary a priori conditions for the possibility of experience. The pure forms of intuition—space and time—are what render the “manifold” of sensation receptive to order; they provide the understanding with the structured data it requires to synthesize appearances spatiotemporally. Without these forms, sensations would not be arrayed in any configuration of “simultaneity” or “succession”: experience would become rhapsodic, lacking all coherence and unity.
Kant’s aesthetic, however, is developed within a Newtonian framework. Space is the a priori form of outer intuition, homogeneous and essentially Euclidean; time is the pure form of inner intuition, continuous and one-dimensional. Yet even within this Newtonian framing, Kant, as per the Metaphysical Foundation of the Natural Sciences, still maintains the notion (still widespread in 18th-century natural philosophy) of the “aether,” a dynamic plenum of matter underlying all interactions. Though Kant carefully avoids positing a physical aether as a constituent of things-in-themselves, the concept nonetheless lingers as a heuristic constraint: forces require a domain of possible transmission, and the understanding requires an organized manifold to operate upon.

However, the emergence of the field in the works of Faraday and Maxwell, the relativistic reconceptualization of the spacetime manifold in Einstein, and the development of quantum field theory in the 20th century, collectively displaced the Newtonian framework that silently underwrites Kant’s aesthetic. What once appeared as fixed, absolute forms of intuition have become plastic and relativistic. The manifold of spacetime is no longer understood as an empty formal container (what Leibniz and Kant called absolute space and time) but a medium whose very geometry depends upon energetic and material configurations. Indeed, matter and energy bend the very fabric of spacetime, and the geometry of this interactive manifold dictate what it is possible to intuit (the speed of light sets an absolute limit to the informational intuitable horizon). Furthermore, in quantum field theory, even the notion of “particles” as objects in space and time gives way to excitations of underlying fields defined over highly abstract manifolds. That is to say, no longer can we separate those objects of experience from the field in which they said to be experienced. Matter is not place in a field, the field is matter.
This course takes this paradigmatic revolution as its central problematic. It will examine how the concepts of aether, field and manifold ultimately compels a rethinking of the very transcendental aesthetic framework within which physical experience is possible. The guiding question is: What would a transcendental aesthetic look like if it were transductively reconstructed in light of the historical and scientific development of the field and the manifold from out of the notion of the aether? Or put differently: Can we articulate an a priori framework adequate to a world in which the fundamental entities are not substances in space and time, but relational, energetic fields whose structure determines the geometry of their own manifold?
Over four weeks, we will trace this conceptual evolution:
• from the early modern aether as a medium of forces,
• to Faraday’s and Maxwell’s reconception of physical interaction as continuous field activity,
• to Einstein’s fusion of spacetime and field into a single dynamical structure,
• to the radical ontology of quantum fields in which particles are modes of excitation and the vacuum itself is structured,
• and finally to contemporary philosophical attempts to interpret fields and manifolds not merely as scientific constructs but as potential transcendental conditions of appearance—conditions for the intelligibility of experience in a post-Newtonian world.

Session 1 — From Substance to Medium: The Aetherial Cosmos
Theme:
The early modern transition from Aristotelian substance to mechanical plenum; aether as the universal medium of forces and waves.
Primary Texts:
• René Descartes, Principles of Philosophy (1644), Part II (“Of the Principles of Material Things”).
• Isaac Newton, Opticks (1704), “Queries” 18–31.
• Christiaan Huygens, Treatise on Light (1690), Preface and ch. 1.
Secondary Readings:
• Mary Hesse, Forces and Fields (1961), ch. 1–2.
• E.A. Burtt, The Metaphysical Foundations of Modern Physical Science (1925), ch. 6 (“Newtonian Dynamics and the Aether”).

Session 2 — Electricity, Magnetism, and the Birth of Field Thinking
Theme:
Faraday’s empirical turn from action-at-a-distance to lines of force; the conceptual shift from medium to relational topology.
Primary Texts:
• Michael Faraday, Experimental Researches in Electricity (1831–1855), §§ 3078–3110 (“On Lines of Force”).
Secondary Readings:
• Nancy Cartwright, How the Laws of Physics Lie (1983), ch. 2 (“Field and Force”).
• Peter M. Harman, Energy, Force, and Matter (1982), ch. 4 (“Faraday and the Field Concept”).

Session 3 — Maxwell’s Equations and the Ontology of Energy
Theme:
Field as continuous energy distribution; mathematical formalization and unity of electricity, magnetism, and light.
Primary Texts:
• James Clerk Maxwell, A Treatise on Electricity and Magnetism (1873), Book II, ch. 1–4; Book IV, ch. 20–23.
Secondary Readings:
• Jed Z. Buchwald, From Maxwell to Microphysics (1985), Introduction and ch. 2.
• Hermann von Helmholtz, “On the Conservation of Force” (1847).

Session 4 — Relativity and the Dissolution of the Aether
Theme:
From electromagnetic field to spacetime field; the collapse of absolute medium into geometric structure.
Primary Texts:
• Albert Einstein, “On the Electrodynamics of Moving Bodies” (1905).
• Albert Einstein, “Ether and the Theory of Relativity” (1920).
• Hermann Minkowski, “Space and Time” (1908).
Secondary Readings:
• Ernst Cassirer, Substance and Function (1910), Part II.
• Thomas Ryckman, The Reign of Relativity (2005), ch. 3.

IMAGE: Pierre Huyghe, De-Extinction, 2014

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Enroll – 225 USD :