In cessation thermodynamics, Gerard G. Nahum (1956-), or Gerry Nahum, as popularized in American science writer Mary Roach's 2005 best seller Spook: Science Tackles the Afterlife, is an American physician, with a background in chemical engineering, thermodynamics, and information theory, noted for his 1998 proposal to conduct a consciousness-weighing project to quantify the energy-information of consciousness or rather the “weight of the soul”, at the point of death, estimated to cost $100,000, using a negative entropy theory. [1] Nahum defines the soul or rather 'residual energy/information' after the complete dissolution of an organism after death as: [2]

“Soul is the (obligatory) negative entropy (i.e., energy/weight equivalent) that is necessary to allow for the nonequilibrium meta-stable physical 'quasi-steady-state' of a living/conscious biological system.”

Nahum states that “he became convinced that the first law of thermodynamics applied to consciousness” when he was five years old, after which time he began to theorize as to the question of “where does it go” after death? Nahum, while not a religious man, seems to have spent his entire life on this puzzle, attempting to get funding for a thermodynamics-information based consciousness quantification experiment from the Catholic church, various physics departments, and institutes like the University of Arizona’s Human Energy Systems Laboratory. [1] He also attends science-of-consciousness and quantum theory gatherings whenever he can, hoping to hook up with potential partners.

Theory overview
Nahum first began to ruminate on his theory in 1961, at the age of five, and resulting in a semi-solidified version in 1978. A 25-page version of the theory entitled “A Proposal for Testing the Energetics of Consciousness and its Physical Foundation”, was presented at an international meeting, called Tuscon III: Towards a Science of Consciousness, in Tuscson, AZ. [4] Nahum uses a mixture of information theory, thermodynamics, and the mass-energy equivalence relation, to explain the conservation of consciousness at the point of death. In short, according to Nahum, the change in heat dQ that has to be liberated per bit of information lost is:

This loss or destruction of information at death, in the processing consciousness, is hypothesized to potentially occur, according to Nahum, as a result of the destruction of brain cell microtubules, which during life act like an "abacus for molecular calculation at the subcellular level". Using this numerical figure as a basis, Nahum then uses Einstein's mass-energy equivalence relation:

to calculate that the weight of one bit, the basic unit of information and of consciousness, is a "billionth billionth billionth of a billionth of a kilogram" or:

(verbal approximation) or (exact value)

Beyond this, Nahum estimates that consciousness may be comprised of a minimum of 1-10 million bits of information, but that he doesn't really know how much more may be necessary. Based on this logic, he postulates that one could measure the changes in mass that are associated with the loss of information comprising consciousness at death using scales that have at least picogram () sensitivity or better. On this basis, Nahum postulates that the weight of the consciousness W(t) surviving after death can be quantified by the following expression:

where W(t) is the weight of the system containing the experimental subject as a function of time, E(t) is the energy radiated or dissipated by the system as a function of time over all spatial dimensions, C(t) is the time dependent energy deficit not accounted for by measurable system energy radition-dissipation, t0 is the time of death of the biological system, t is the time elapsed since the death of the biological system, g is the local acceleration of gravity, and c is the speed of light. Nahum then comments, after several pages of experimental procedure, that: [4]

“Assuming that these experimental goals can be accomplished, then the quantity of negative entropy and or energy that is associated with the phenomenon of consciousness should, in principle, be both measurable and quantifiable.”

Education
Nahum completed his BS in chemical engineering, with special interest in thermodynamics and information theory, at Yale University and his MD at Stanford University. Nahum was a professor of obstetrics and gynecology at Duke University until 2004, after which he began working for the Food and Drug Administration in Rockville, Maryland. Nahum, currently, is head of Global Clinical Development U.S. Women’s Healthcare at Bayer HealthCare Pharmaceuticals. [3]

Difficulties on theory
Nahum’s theory, in short, posits that consciousness can be associated with a certain amount of information content of some part of the central nervous system; that this information is equivalent to a certain amount of negative entropy (order) or energy; that at the point of irreversible neurological activity cessation (or death) the magnitude of the energy associated with consciousness will be conserved according to the law of conservation of energy; that this consciousness energy loss will correspond to a loss of neurological mass according to the mass-energy equivalence relation; and that by measuring the radiation of all possible types of energy at the point of termination in an isolated chamber that the mass of departed consciousness could be measured in units of kilograms.

The first issue with this argument is that the mass-energy equivalence relation only applies to situations wherein there is a transformation of sub-atomic particle into another type of subatomic particle, releasing energy in the process, such as in radioactive decay, e.g. carbon-14 converting to nitrogen-14 plus radiation; solar thermonuclear reactions, e.g. four protons converting to one helium-4 atom, releasing energy in the form of gamma ray photons and neutrinos, whereby 0.7% of the mass of the original four protons is lost; or as in various types energy-mass changes that occur in high speed particle colliders.

None of these types of decay processes, however, will occur when a person dies; subsequently the process by which a person dies will conform to the laws of chemistry, the conservation of mass being of predominance. The mass-energy equivalence principle, in the form of neurological hydrocarbon molecules (or other types of brain atoms) undergoing nuclei transformation, at the point of death, to release energy, will not apply to human death as Nahum posits.

The second issue of difficulty with Nahum’s theory is the postulate of correlating mental intelligence, in the form of stored information, to entropy or rather negative entropy. While it is has been argued, as Hermann Helmholtz stated in 1882, that the magnitude of entropy is proportional to the order of a system, no one has ever presented a derivation starting with the basic 1865 Clausius definition entropy, as differential unit of heat dQ passing the boundary of a system divided by the absolute temperature T of the system, to arrive at some formulation of entropy (or the negative of entropy) as a absolute measure of brain intellect or better yet consciousness (or the information value of consciousness). Nahum, however, states, in his abstract, that these connections are “well-established”, specifically commenting that the “equivalence of energy/negative entropy with information system content” is a well-established physical relationship.

This, however, is not the case, although many would like to say it is so, simply by citing the likes of Leó Szilárd (1929), Claude Shannon (1948), Leon Brillouin (1950), Edwin Jaynes (1957), or Myron Tribus (1961), among others. All connections of thermodynamic entropy to system information content stem from American electronics engineer Ralph Hartley’s 1927 introduction of the logarithmic function to measure high and low voltage signals in telegraph wires, where he defined H as information defined by the following function:

where n is the number of successive selections or readings of a sequence of voltage levels in a telegraph receiver tape, and s is the number of possible voltage levels by which the signal may be transmitted by the sender. Although Hartley’s derivation had nothing to do with heat engines or thermodynamic working bodies, Shannon would later declare H to the same as the entropy in statistical mechanics, defined by Ludwig Boltzmann, forever convoluting the two completely different "systems", telegraph sending systems and steam engine systems.

On these views, to justify his proposed consciousness weighing experiment, Nahum gives a short derivation in his appendix in which he states that Clausius entropy (1865), Boltzmann entropy (1901), and Shannon entropy (1948) are all equivalent expressions of the entropy of any physical systems:

Entropy Change	Equation Name	Systems Applicable To
	Clausius entropy	All physical systems of the universe.
	Boltzmann entropy	Systems having non-correlation of velocity, i.e. those ascribing to the Boltzmann chaos assumption.
	Shannon entropy	Information transmission systems, i.e. current or voltage variations sent down telegraphy, telephone, fiber optic lines, etc.

This, however, is far from the truth. Clausius entropy applies to all physical systems; Boltzmann entropy is a statistical approximation of Clausius entropy, generally applicable to only ideal gas systems; and Shannon entropy is not even an entropy of thermodynamics, but refers to measurements of strings of binary Morris code sent in transmissions. In any event, Nahum substitutes Shannon entropy into Clausius entropy, eliminating the entropy change variable ΔS to arrive at an expression for heat loss per loss of bit of information in the nervous system:

citing Claude Shannon (1949), Charles Bennett (1982), and Alvin Weinberg (1982), as justification for this calculation. [6]

Beyond these issues, Nahum postulates that, based on the increase of black hole entropy in the region of event horizons, that similarly the negative entropy or post-death ordered transformed consciousness may go into a type of extra-dimensional parallel universe hyperspace, in the regions of the Planck length, where the energy of the departed consciousness goes into small types of singularities embedded within our won four-dimensional space-time world. [5] To explain how this “energy of consciousness” may be able to depart or transfer to the hyperspace domains, whereas other varieties of standard energies do not, Nahum reasons:

“One possible explanation may depend upon the precise time-frequency spectrum of the energy liberated as a result of the loss of biological consciousness, possibly imparting to it a particular signature that may allow it passage to hyperspace domains, whereas other more ‘usual’ forms of energy in other conformations do not permit access.”

References
1. (a) Roach, Mary. (2005). Spook: Science Tackles the Afterlife (Gerry Nahum, pgs. 97-106, 290, 297). W.W. Norton & Co.
(c) Spook: Science Tackles the Afterlife – Wikipedia.
(d) Roach, Mary. (2006). “What Happens After You Die?”, New Scientist, Nov. 18.
2. Roach, Mary. (2005). “A Soul’s Weight: What happens when a man (or a mouse, or a leach) dies on a Scale?”, Lost Magazine, Dec. No. 1.
3. Gerard Nahum – LinkedIn.com.
4. (a) Nahum, Gerard. (1998). “A Proposal for Testing the Energetics of Consciousness and its Physical Foundation (25-pgs)”, Presented at an international meeting in Tuscson, AZ called Tuscon III: Towards a Science of Consciousness.
(b) ibid, Nahum. (2005). “A Proposal for Testing the Energetics of Consciousness and its Physical Foundation (33-pgs)”, Submitted for review to Consciousness and Cognition.
(c) Nahum, Gerard. (2010). “A Proposal for Testing the Energetics of Consciousness and its Physical Foundation”, Journal of Human Thermodynamics, 6: 1-25, March.
5. Kaku, Michio. (1994). Hyperspace: A Scientific Odyssey through Parallel Universes, Time Warps, and the Tenth Dimension. Oxford University Press.
6. (a) Shannon, Claude and Weaver, W. (1949). The Mathematical Theory of Communication. University of Illinois Press.
(b) Bennett, Charles H. (1982). “The Thermodynamics of Computation: a Review”, Int J Theor Phys, 21: 905-40.
(c) Weinberg, Alvin M. (1982). “On the Relation between Information and Energy Systems”, Interdisc Sci rev, 72: 47-52.

External links
● Gerry Nahum – Wikipedia.
● Gerard Nahum – Vitals.com.