Motion, Dualism, and Modern Physics (part 3) Grant me the grace, O merciful God, to desire ardently all that is pleasing to Thee, to examine it prudently, to acknowledge it truthfully, and to accomplish it perfectly, for the praise and glory of Thy name. Amen. Regina Cœli Academy Natural Philosophy – Physics Lecturer: Mr. Alan Aversa Prayer of St. Thomas which he was accustomed to recite everyday before the image of Jesus Christ. 04/18/12 A.M.D.G. 1 04/18/12 The Law of Entropy Attests to Natures ● ● ● Disorder 2 Law of Thermodynamics implies: ● ● ● Nature is instable. ● There will be a “heath death” of the universe. – 04/18/12 Energy cannot be transmuted from one form to another indefinitely. A.M.D.G. 3 ● ● Their stability doesn’t result from subatomic particles’ instability 04/18/12 ● Why? ∵ 2nd Law determines directionality of time Why is the universe’s “heat death” not infinitely fast? If there are no “braking principles,” wouldn’t it be? 04/18/12 ● ● This is like the 1st and 2nd Laws. A.M.D.G. ∵ instability + instability ≠ stability. A.M.D.G. 4 (1) Only can a “nature existing” (a substance) that is a unity of matter and form be both conservative and entropic. Empedocles’s cosmology: law of love and law of hate ● “Conservative” means here: “able to maintain its being.” Thermodynamics Confirms Matter and Form Bergson claimed that the 2nd Law is “the most metaphysical of empirical laws.” ● Recall: “Inert” means “[h]aving no inherent power of action, motion, or resistance; inactive, inanimate; having the property of inertia.” (OED). Atoms have more being and nature. ● The Law of Entropy Attests to Natures ● Atoms less inert, “more stable, more conservative,” more “capable of acting” than subatomic particles ● nd ● 2 The Law of Entropy Attests to Natures Entropy “is the measure of the unavailability of [...] thermal energy for conversion into mechanical work” (OED). ● A.M.D.G. 5 04/18/12 “Entropic” means “with allusion to the randomness, uniformity, and unavailability of energy for work that entropy measures.” (OED). The empiriological physicist would reduce one reality (conservation), which obeys the 1st Law, and another unrelated reality (entropy), which obeys the 2nd Law, to two distinct principles; but conservation and entropy are ultimately rooted in one subject. A.M.D.G. 6 Thermodynamics Confirms Matter and Form ● ● Thermodynamics Confirms Matter and Form (2) Matter-form dualism explains the bifurcated nature of the atom: ● Matter is the “divisive and destructive” principle. ● Form is the “unitive,” “conservative principle.” ● ● ● Heisenberg’s uncertainty principle: Δx Δp ≥ ℏ/2 ● ● ● 04/18/12 ● Cannot measure position x or momentum p simultaneously to arbitrary precision. ● If x or p were exactly known, the other would be completely unknown. Matter → position; form → velocity A.M.D.G. 7 ● ● ● Einstein’s general relativity (GR) theory of gravity also shows there must be a dualism in substances (natures existing). 04/18/12 Is the uncertainly principle due, however, to a lack in our understanding of the physics? ● ● ● ● ● Pythagoras: odd and even ● Plato: great and small ● Anaximander: condensation and rarefaction ● GR’s fundamental equation contains symmetrical and anti-symmetrical parts. ● A.M.D.G. 9 04/18/12 they all were “groping in the dark” for Aristotle’s formulation of hylemorphism (matter-form dualism) and that even false philosophies can catch a glimpse of truth “from the light of being.” A.M.D.G. 10 That E = m c2 Does not Refute Matter-Form Whitehead’s standard for finding differences between two natures: Look at how the two operate under the same external conditions. Natures come from within, so “Don’t judge a nature by its appearances, by what’s ‘without’!” Natures are not due to a “mechanical linkage of their component elements,” as mechanism holds. A.M.D.G. 8 Aquinas thought that Space-time continuum must be isotropic, yet for it to be heterogeneous, it must be discontinuous. “If the planetary model of the atom is denied as being a mechanical aggregate, why not make the same statement about the solar system?” Or what about a house? How is a house any different than an atom? 04/18/12 A.M.D.G. Pre-Aristoteleans cosmologists’ dualisms: Objections to Matter-Form are Inadequate ● In other words: Is it an epistemological issue? 04/18/12 Can you smell, taste, touch, hear, feel atoms? ● Objects on micro-scale have less nature, are more inert. Thermodynamics Confirms Matter and Form Aquinas: Knowability of something follows its immateriality, but atoms are grossly inert. ● Error in position and velocity more important on the micro- than the macro-scale. Matter-form dualism ⇒ position and velocity immediately united. ● Thermodynamics Confirms Matter and Form ● Uncertainty principle 11 ● ● ● E is the measure of energy, m is the measure of mass, and c is the measure of the speed of light. Does this mean energy and matter themselves are equivalent? In 1939 Hahn and Strassmann bombarded uranium with neutrons to produce lighter elements like barium. ● 04/18/12 The resultant particles were less massive than the original uranium atom. A.M.D.G. 12 That E = m c2 Does not Refute Matter-Form ● Why is there a difference in mass? ● Had matter been annihilated? ● Was the mass difference changed into energy? ● Has matter changed into a property of matter? ● ● ● That E = m c2 Does not Refute Matter-Form ● ● Can something extended be reduced to something unextended? ● ● Solution: “binding energy” A.M.D.G. ● ● ● ● 13 ● A.M.D.G. ● If mass is substance and energy is an accident, then a change in energy should change extension? Doesn’t this refute hylemorphism? ● ● The fission fragments are less extended. 15 Galileo, Newton: substances defined by mass and weight Descartes: substances defined by quantity Aquinas, instead, defines a natural body “in terms of its mobility and the dualism of principle which motion discloses.” Philosophical physics: so-called mass needn’t be constant; only prime matter constant 04/18/12 A.M.D.G. That E = m c2 Does not Refute Matter-Form ● ● ● 16 References Binding energy concept illustrates hylemorphism. ● 14 Uranium fission does not fit into these two conceptions: ● Einstein’s equation really about conversion of energy into different forms. A.M.D.G. It’s the amount of energy required to raise an object 1 ft. Mass / energy dichotomy artificial 04/18/12 Empiriological physics cannot make the distinction; philosophy needed 04/18/12 A foot-pound is a unit of energy. That E = m c2 Does not Refute Matter-Form Isn’t it a vicious circle to define energy in terms of mass and mass in terms of energy‽ ● Inertia measured by using energy to exert a force. – That E = m c2 Does not Refute Matter-Form ● A scale determines the mass of a person based not on mass directly but on how much energy he exerts in overcoming the tension of the spring inside the scale. Energy is measured by mass. ● A mass on a mountaintop has less weight than a mass at sea-level. Has it lost mass by going from sea-level to a mountaintop? 04/18/12 Mass is measured by energy. ● Are atoms just an aggregate of subatomic particles, as a mechanist would say? V. E. Smith’s Philosophical Physics ● Subatomic particles do undergo a substantial change when they combine to form an atom; ∴, hylemorphism holds for atoms. Please finish reading ch. 6 (Motion, Dualism, and Physics). – I will post PDF of the reading on the reginacoeli.box.com page. But what are matter and energy? ● Empiriological physicist: 2 ways of looking at 1 thing ● Philosophical physicist: mass and energy irrelevant – 04/18/12 He speaks of substantial form and prime matter, or accidental form and second matter. A.M.D.G. 17 04/18/12 A.M.D.G. 18