Journal of Scientific Exploration, Vol. 24, No. 1, pp. 5–39, 2010
0892-3310/10
Rebuttal to Claimed Refutations of
Duncan MacDougall's Experiment on
Human Weight Change at the Moment of Death
Abstract—A critical review was conducted on criticisms expressed in
books and on websites of Duncan MacDougall's weight measurement experiment
upon the death of terminally ill patients; theoretical simulations of
MacDougall's experiment using a modern weighing system with load cells
and thermohydraulic analysis were employed. The following conclusions
were obtained: (1) the uncontrolled escape of moisture from bodies due to insensible
perspiration has practically no effect on the conclusion of his experiment
that there had been anomalous losses in the weight of his patients upon
death; (2) the speculated effect of convection air currents on MacDougall's
balance scales does not exist; (3) vibrational disturbances caused by cardiac
and breathing activities, which disappear after the death of the patients, have
practically no effect if the change in weight upon death is in the tens of grams
rather than a few grams; and (4) the speculative tricky role of buoyant force
of air on the body can be denied. Therefore, all the cases of his experiment do
remain as pioneering cases published in a scientific journal. Theoretical implications
of his experimental result and future perspectives of the experimental
approach to this subject are discussed.
Keywords: MacDougall experiment—missing weight upon death—skeptical comments—critical review—analytical simulation of experiment— inadequate control—water vapor loss—convection air currents— disturbance of cardiac activity—buoyant force—the law of conservation of energy—psychical knowledge
1. Introduction and Objectives
In 1907, Duncan MacDougall, MD (1867-1920) published the paper "Hypothesis Concerning Soul Substance Together with Experimental Evidence of the Existence of Soul Substance." Since then, there have been several skeptical as well as critical arguments against his paper written in books and posted on many websites. The present author expressed in a paper recently published in the Journal of Scientific Exploration (Ishida, 2009) the following:
Most of these arguments are similar, stating how "his experiment was sloppy; his claimed weight of the soul turned out to be simply the result of sloppy science; his experiment was silly, you'd need not just a scale, but a completely isolated system." From a scientific point of view, it can be shown with relative ease that none of these criticisms have a quantitative basis. . . . Indeed, it will be very difficult to scientifically refute the missing weights in MacDougall's experiment, even though his experiment, conducted around 100 years ago, may appear sloppy from the viewpoint of today's scientific standards. (p. 6)
Because, in the present author's point of view, MacDougall's paper is scientifically important, and since no one has ever published critical reviews of the criticisms against MacDougall's paper based upon a scientifically quantitative basis, the objectives of the study presented in this paper are to conduct such a review and provide a sound scientific basis when people talk about MacDougall's experiment. Additionally, theoretical implications of his experimental result and future perspectives of the experimental approach to this subject are discussed.
2. Specific Expressions of Criticism
against MacDougall's Experiment
Table 1 shows a summary of MacDougall's experiment based upon his paper (MacDougall, 1907). MacDougall's unaccounted for decrease in the weights of his patients upon death ranges from 10.6 g to 45.8 g. The following seven criticisms have been specifically expressed so far in books and on websites:
. . . the sweating and moisture evaporation caused by this rise in body temperature would account both for the drop in the men's weight and the dogs' failure to register any decline in weight, as dogs do not have sweat glands, they pant to cool themselves. (Schill, 2009)2
In Section 3, all of these critical comments against MacDougall's experiment are critically reviewed on a scientifically quantitative basis.
3. Review of Comments Based on
a Scientifically Quantitative Basis
Before reviewing the critical comments summarized in Section 2, simplifi ed simulations of MacDougall's experiment were conducted and are discussed in Section 3.1 to give a scientifically quantitative basis for the review. Critical reviews of each comment are given in Section 3.2.
3.1 Simulation of MacDougall's Experiment Using a Modern Weighting System
The analytical model used in Ishida (2009) is briefly described here. The basic equation for the damped vibration model of a scale with a mass m on it and under an externally applied force is expressed as follows:
The characteristic vibration parameters of the system were determined in Ishida (2009) based upon the experimental paper by Hollander (2001). Hence, only these parameters are shown here:
The mathematical model is intended to predict the small vibrational behavior of the scale with respect to its equilibrium position when acted upon by an external force applied to the system. If there is a small change in the mass m, the effect may be expressed as external force F(t) to simulate the removal or addition of the corresponding load. Here, the physical quantity keq × x(t) is denoted as the "system response," which shows the simulation of the following supposed experiments. The linear differential equation (Equation 1) is solved numerically using the Euler–Romberg method (Ishida, 2009).
In Figure 1, the system response before the supposed time of death (t< 120 s) vibrates with a peak-to-peak swing of about 80 gf, which is caused primarily by the breathing disturbance. If only the cardiac disturbance is assumed in the simulation, the swing becomes about 26 gf. The fundamental frequency of the breathing disturbance (fbreath = 0.22 Hz) assumed in this simulation is much closer to the natural frequency of the weighing system (fn = 0.542 Hz) than the cardiac disturbance (fcard = 1.07 Hz); also, the cardiac disturbance has higher frequency components with heavier weights than the fundamental frequency. These frequency characteristics explain the effects of the disturbances on the system response. This behavior was discussed in Ishida (2009).
As seen in Figure 1, the sudden disappearance of the large disturbance caused by CAF and breathing upon death leaves damped vibrations in the system response immediately after death. However, the simulation results clearly show that if there is no anomalous loss of weight upon death, the weighing system settles after the cessation of damped vibrations in the expected quasi-steady history of weight decline caused by the uncontrolled escape of moisture.
Because the system response vibrates with such large amplitude (peakto- peak swing of about 80 gf), how can we assume that the experimental subject initially weighed exactly 62.0 kg,4 which is the initial condition of the experiment for the evaluation of the change in weight upon death? This argument has good Scientific basis when considering the limitations in accuracy for measuring the weight of a live human. MacDougall probably did not realize such a problem could exist with his scales. We have to resort to averaging the vibrating system response over a time period (120.0 s) before death to define the initial weight of the experimental subject. In the case shown in Figure 1, the time-averaged system response was +0.254 gf. This value is affected by the weight loss caused by the insensible perspiration. If the weight loss due to insensible perspiration is ignored, the time average becomes +0.726 gf.5 The calculated weight loss caused by the insensible perspiration from the start to t = 150 s (when the damped vibrations have ceased) is about 1.1 g; hence, a loss of 2 g in the apparent weight during the life-to-death transition can be explained Scientifically, although 2 g is below the detection sensitivity (5 g) of the weighing system. This means that if we use a similar type of scales to this weighing system in experiments with human adults and allow uncontrolled moisture to escape, any measured weight loss that may contain some anomalous loss should be more than the 2 g to justify a claim that there is an anomalous loss in the measured data. Even if the escaping moisture is controlled in the experiment, it will be difficult to claim that an anomalous loss is a value less than 1 g because of the disturbances caused by cardiac and breathing activities before death.
It was assumed in the above simulations that the initial weight of the experimental subject msp = 62.0 kg in both cases (a) and (b), and the loss of 21 g occurred instantaneously upon death in (b). The natural vibration frequency fn of the weighing system changes from 0.59 to 0.51 Hz as msp changes from 40 to 80 kg (fn = 0.54 Hz for msp = 62.0 kg); this change in fn affects the disturbance effects of the cardiac and breathing activities on the system response before death. The corresponding peak-to-peak swing of system response changes from 78 to 88 gf, which was 80 gf for msp = 62.0 kg. If the loss of 21 g upon death occurs in a few seconds (instead of instantaneous loss), the damped vibration behavior of the system response after death becomes less remarkable than the result shown above (this was discussed in Ishida, 2009). These uncertainties in msp and the rate of 21-g loss do not much affect the results of the above simulations.
where the definite integral is calculated over one successive breathing cycle (t, t + TB), and time t' is defined as the mid-point of the cycle interval. The period of the breathing cycle (TB) is 4.58 s in these simulations.
It should be noted that the period of cardiac cycle (before death) is about 0.94 s in these simulations; hence, one breathing cycle covers almost five cardiac cycles. The system responses based on Equation 2 for the cases calculated weight of 10 g. The averaged responses shown in Figure 3 are actually the average over the sampled data from all calculated transient data at a rate of 5 points per second; this sampling is made based upon the assumption that the weight measurement system has a response time of 0.2 s. The relatively remarkable vibrations in the averaged system response before death (t <120 s) comes from the maximized cardiac disturbance together with the assumed small number of data sample points per second.
The averaged system responses clearly show in each simulation the supposed change in weight upon death and the declining history of weight caused by the supposed escaping moisture from the body. Also the result for the case with no missing weight upon death shows as discussed above that it will be difficult to justify any claim of anomalous missing weight of less than about 2 g upon death in human cases. A similar problem exists in cases of animals other than humans.
3.2 Review of Critical Comments
Each critical comment specifically expressed in Section 2 is reviewed here using the simulation results in Section 3.1, with additional analysis when necessary.
According to a standard textbook of dietetics (Goto and Takishita, 1988), heat loss from a healthy adult body due to insensible perspiration is about 21% of the total heat loss per day. If the calorie intake is 2,700 kcal/day, 21% is 567 kcal/day; that is, the average heat loss rate (Qip) due to insensible perspiration becomes 23.6 kcal/h. The loss rate of water mass M' corresponding to this heat loss rate can be calculated as follows:
where ΔVAPH is the latent heat of water vaporization (2.444 kJ/g = 0.584 kcal/g at 25°C).
This value is about 44% larger than that of Patient 1 (28 g/h). The loss rates MacDougall obsered in his experiment are physiologically normal values expected for those dying patients of tuberculosis.
The possible water vapor loss from the dead body covered with bed clothing would have continued at a lower loss rate than that before death, but normally not at a rate of tens of grams moisture loss in a few seconds after the judgment of patient death by MacDougall and his colleague. A possible large mass loss within a few seconds after death can be due to postmortem bladder and bowel movements, which MacDougall mentioned in his paper usually occurred if he failed to contain the movements within the cot bed on the scale platform. MacDougall stated in his paper (MacDougall, 1907) that these movements did not take place in Patient 1.
But these movements, if they occurred, can contribute to water vapor loss from the body as MacDougall stated. In the simulations of Section 3.1, 50% of the loss rate before death was assumed after death; this loss rate of 14.2 g/h, if it continues until about 1 h after death (probably when they terminated the experimental cases), will result in weight loss of 14.2 g, which is well above the sensitivity of MacDougall's scale (5.7 g). However, his scale did not detect any further loss in weight of Patient 1 within the sensitivity of the scale, which suggests that the weight loss rate after the death of Patient 1 was less than 5.7 g/h.
We can say that the uncontrolled weight loss due to escaping water vapor from Patient 1's body definitely occurred during about 1 h after the time of death within the scale sensitivity. However, the simulation results shown in Figures 1–3 clearly show that the missing weight, whether it is 10.6 or 21.3 g, cannot be explained based upon the uncontrolled loss of weight due to the escape of water vapor from the dead body.
This means that as long as MacDougall and his colleague did keep the postmortem bladder and bowel movements upon death within the cot bed, the lack of control over escaping moisture from the dead body did not practically affect his experimental conclusion that there were anomalous losses in weight of his patients upon death. How precise his experimental results were for the missing weight is not the essential point, so long as the amount of the missing weight was well above the sensitivity of his scales and the amount of uncontrolled (i.e., escaped) water vapor mass.
Hence, Blackmore's criticism based upon the uncontrolled water vapor loss is refuted.
Despite the above reasoning against the convection currents theory, let us quantitatively evaluate a possible mechanical effect of convection air currents on MacDougall's experiment.
Estimate of convection currents to give MacDougall's unexplained loss of weight. There are at least two ways to produce, apart from the "sudden loss," a spurious loss of weight of patients upon death by vertical air currents: (i) push up the bottom of the wooden framework and cot bed on the scale platform and (ii) push down the weight suspended from the other end of the balance beam.7
(i) Pushing up the wooden framework and cot bed. To estimate the required upward velocity of convection air currents over the flat bottom area of the wooden framework plus cot bed system to produce an uplifting force ranging from 10.6 to 45.8 gf, the area of the flat bottom is necessary; however, this is unknown. Therefore, the area is treated as a parameter S. The required force can be estimated by assuming a stagnation-point air flow over a flat plate oriented normal to the upstream flow direction. The flow situation is shown schematically in the inset of Figure 4. (The inset shows a virtual situation; in reality, beneath the flat plate [which was larger than the size of the scale platform], there is a scale platform or floor as imagined from MacDougall's platform scales.) The asymptotic upstream air flow velocity V∞ is a parameter. The Bernoulli equation for the flow system is given as follows (Bird et al., 1960):
Both gas models give almost the same results with the air flow velocity V∞ sufficiently lower than 13 m/s.
Figure 4 shows the calculated upper bound of the uplifting force Fk as a function of the vertical air flow velocity V∞ with the area S and air temperature T as parameters. We can probably assume here that the ranges of both parameters in Figure 4 cover the unknown conditions in MacDougall'sexperiment. The required flow velocity to produce an uplifting force ranging from 10.6 to 45.8 gf becomes 30 to 63 cm/s for Smax = 1.9 m2 and 40 to 83 cm/s for Smin = 1.1 m2. The slightly greater Fk for the lower air temperature in Figure 4 is due to greater air density at lower temperatures.
To provide an idea about how high the required updraft is under natural convection in a closed physician's laboratory, let us imagine a heated vertical plate standing on the floor and exposed to ambient air at room temperature (20°C). Vertical air flow will be generated around the heated plate due to the temperature difference ΔT between the hot plate and ambient air. An experimentally validated analytical solution to the heated vertical-plate problem in a laminar flow regime is given in Eckert and Drake (1972); and the solution gives the maximum vertical velocity of air flow generated by the plate. Figure 5 shows the calculated maximum flow velocity of air as a function of ΔT at several axial heights Z from the bottom of the plate (the length of the vertical plate is assumed to be long enough to cover each axial height without end-effects). The two curves at Z = 1 and 24 cm give maximum velocities of 10 and 48 cm/s at ΔT = 97°C, respectively, which approximately correspond to the experimentally measured maximum velocities (14 and 44 cm/s, respectively) (McAdams, 1933).
Figure 5 shows that realizing such a localized natural convection updraft of velocity ranging from 30 to 83 cm/s would require a large temperature difference ΔT (which depends upon the size of the heated plate) between a hot object and its ambient air. Therefore, such a flow situation is inconceivable to have been realized upon death in MacDougall's experiment.
(ii) Pushing down the weight of the scale beam. To push down the weight on the other side of the scale beam, a downward air flow would be assumed to be directed toward the top of the scale weight (the ratio of the two arms of the beam balance is estimated to be 1:6, based upon the picture of a similar scale on the International Society of Antique Scale Collectors [2009] website). It suffices to say that a more vigorous (localized) downdraft is required than the updraft estimated in (i) because of the small cross-sectional area of the weight compared with the assumed area S of the cot bed system. Such a flow situation is also inconceivable to have been realized upon the patients' death. Therefore, Fisher's convection currents theory is refuted.
One important conclusion to be noted here, based on the analysis above, is that in any weight measurement experiment for transitions to and from an altered state of consciousness (discussed in Ishida, 2009), if the experiment is concerned with the change in weight of human subjects on the order of tens of grams and not tens of milligrams, the hydraulic effect of the natural convection of air on the weighing system is minimal.
This [second] patient was of a totally different temperament from the first, his death was very gradual, so that we had great doubt from the ordinary evidence to say just what moment he died. (pp. 240-241)8
What is certain is that Patient 2 died during the interval between the start and termination of the experiment and MacDougall observed a loss of weight of 45.8 g in total, out of which 14.2 g was observed in a few seconds after the moment they initially thought the patient died. MacDougall did not conclude that all the losses of weight were observed at the moment of death but some were observed in the two modes, and both losses were unaccounted for based upon his Scientific knowledge. MacDougall was correct to watch the change in weight of his patients continuously during the experiment. It is not enough for the experiment to weigh the patient just before and after the apparent death. The exact time of death, if any, is not important in his experiment. The question of why the second type (b) of weight loss was observed can never be answered unless the first type of loss (a) is explained. We do not know as of yet the real meaning of human death when we take into account research results on human reincarnation, such as those by the late Professor Ian Stevenson (1918-2007) (Stevenson, 1986).
Therefore, Blackmore's second critical point cannot refute MacDougall's experimental results.
Let us consider point (i) for human cases. The local temperature of any part of the body is kept roughly constant (with some daily fl uctuations) by biological mechanisms of the human body when it is still alive; that is, the rates of heat generation and heat inflow by the blood flow of a living body in any body part is balanced by the heat removal (heat outflow through blood flow and conduction heat-transfer inside the body) from there. When a person dies, the heat generation (in skeletal muscles and organs) ceases in the body, but heat removal continues through conduction and natural convection heat-transfer inside the dead body and natural convection, radiation, and sweat-evaporation heat-transfer from the body surface. Because of this heat unbalance, even if blood flow stops upon death, there will be no part in the body where its temperature rises upon death (at least until the end of algor mortis). The effect of blood flow stopping in the dead body is a decrease in the heat removal rate compared with the rate in the living state, but this never results in an increase of body temperature. It decreases slowly with a temperature time constant (τ) of more than 4 h. Today's knowledge of forensic medicine would never support Clarke's claim (i).
As to Clarke's claim (ii) (apart from the dog cases), suppose that, as Clarke suggested, 21 g of sweat suddenly appeared on the body surface through the sweat glands of Patient 1 upon death. What would happen next? The evaporation rate of sweat may increase compared with the rate just before the death because of the supposed transient increase in the moisture mass on the body surface (not because of the rise in body temperature; it falls upon death because of the heat unbalance). Clarke needs to further speculate that the 21 g of moisture evaporates from the body surface in the few seconds. This is a very rapid evaporation, similar to what would occur with a hot heated metal surface. In addition, the patient's body was covered with bed clothing; hence, the supposed 21 g of sweated moisture and its vapor near the body surface would very probably stay within the bed clothing to contribute to the apparent weight of the patient, at least during the initial few seconds after the moment of death. Therefore, Clarke's claims (i) and (ii) are refuted.
MacDougall was well aware of the smallness of the sample size and expressed as such in his paper. However, even if MacDougall's sample size were very large, it would not be enough, as MacDougall (1907) stated in his paper:
I am aware that a large number of experiments would require to be made before the matter can be proven beyond any possibility of error, but . . . (p. 243)
MacDougall's statement above means that any experimental claim cannot be proved to be true unless other independent experiments confirm the claim as true; this is the way of science to avoid systematic errors in the experiment. Four cases are certainly small as an experimental sample size. However, unless his experimental results have been refuted based upon a Scientifically quantitative basis, the four cases remain as pioneering cases in the Scientific research.
As for the criticism "the ability to measure changes in weight was less than precise," Schill's point is understood here as concerned with the accuracy and sensitivity of MacDougall's scales. The measurement accuracy of any scale depends upon the calibration of the scale together with its sensitivity. Calibration and sensitivity tests of the scale should be conducted before the start of experiments and even between experimental cases. MacDougall did not specifically mention the calibration of his scales, but he described the sensitivity tests9. It should be noted that what is important in his experiment is to measure the relative change in weight during the life-to-death transition, and hence, the accuracy of the measurement depends primarily on the scale sensitivity.
Were MacDougall's scales not sensitive enough to measure the change in weight of the patients upon death? This question concerns the sensitivity of the scale, which is 5.7 g (2/10 oz).9 Is this sensitivity too low to detect the change of 21 g? No, 21 g is well over the sensitivity. This sensitivity roughly corresponds to 1/11,000 for human weight measurements, if the average weight of MacDougall's patients is roughly 62 kg. The weighing system consisting of four load cells used in Section 3.1 has a sensitivity of 5 g for 100 kg; this sensitivity corresponds to 1/20,000, which is about twice as sensitive as MacDougall's equipment. Today we have very sensitive scales; for example, an analytical balance scale with a sensitivity of 10 μg for 40 g (0.25 ppm) was available 10 years ago. However, a scale with a sensitivity of 10 g for 62 kg is not available, which would correspond to 0.16 ppb. Even if we had such a sensitive scale, the scale would not be useful for weighing humans when the effects of the disturbances and noise discussed in Section 3.1 (as well as the effect of convection currents in Sec. 3.2(1)(b)) are taken into account. Hence, one can say that MacDougall's scales had a good sensitivity for his experimental purpose.
Brian Schill may have based his criticism of MacDougall's scales on the following description by MacDougall in his 1907 paper:
There remained but one more channel of loss to explore, the expiration of all but the residual air in the lungs. Getting upon the bed myself, my colleague put the beam at actual balance. Inspiration and expiration of air as forcibly as possible by me had no effect upon the beam. My colleague got upon the bed and I placed the beam at balance. Forcible inspiration and expiration of air on his part had no effect. (MacDougall, 1907:239-240)
The vital (lung) capacity of Japanese male adults ranges from 3.5 to 4.5 liters (Yamamoto et al., 1988), and this volume of atmospheric air (at 20°C) has a mass ranging from 4.2 to 5.4 g. Why didn't they get a similar amount of change in the balance? Was the expected effect too small to be detected by their scale's sensitivity at 5.7 g (0.2 oz)? MacDougall discussed nothing about this strange result despite his statement about the sensitivity test of his scale in his paper9. This strange result may have occurred because we are always bathing in a bath of atmospheric air in which the Archimedean principle works: i.e., the buoyant force cancels the weight of the air mass inhaled or exhaled. This can be expressed with a couple of equations:
(a) Assume an initial state of body with exhaled lungs with lung capacity of Va,
(b) Assume a final state with inhaled lungs with lung capacity of Vb.
The increase in body weight dW due to the air mass increase in the lungs becomes:
where ρair and g are the air density and gravitational constant, respectively. Because the body shows approximately the same increase in volume dV for the abdomen in the transition of states from (a) to (b) (dV = [Vb – Va]), this results in an increase in buoyant force on the body dFs = dV × ρair × (–g), which cancels out the dW; hence, there is no apparent change in weight between the two states (a) and (b). dV is the vital capacity when forcibly inhaled and exhaled.
Even if the buoyant force dFS does not cancel out the dW, the effect of the air mass change would be well below the detectable limit of MacDougall's scales. In fact, this is confirmed with their demonstration on the bed showing no measurable effect. Their demonstration also showed that the effect of hydraulic reaction to their vigorous breathing on the balance beam was not detected within the scale sensitivity. The analysis in Section 3.2(1)(b) for the required (somewhat energetic) air flow condition may support the results of their demonstration.
Other speculations/hypotheses trying to Scientifically explain the missing weights.
4. Concluding Remarks
4.1 Measurement Error in MacDougall's Experiment?
Before concluding this paper, we need to determine whether or not there are any fatal errors in MacDougall's experiment. We know that uncertainties accompany any experimentally measured data: These uncertainties include random and systematic errors.
Random errors are likely to appear in MacDougall's data within the sensitivity of his scales (5.7 g) with an equal probability of positive or negative sign when there are a large number of the measured cases. Even if we assume that random errors always appear with the negative sign in his measured data (whose probability of occurrence becomes (1/2)4 = (1/16) under the assumption that random errors exhibit a normal distribution), the minimum of missing weights for the four cases ranges from 4.9 to 40.1 g, though the accuracy of scales should be taken into account. These minima still exist on the negative (i.e. missing) side. We can say that random errors were almost certainly not the reason for MacDougall's missing weights.
Were there any systematic errors expected in his data? One systematic characteristic in his data, apart from measurement errors, is his reported sudden or in-a-few-seconds drop of the balance beam at the occurrence of apparent death for each one of the four cases. Any systematic error in the data would result from the scales, experimental conditions, and experimenters. Regarding the experimental conditions, we have discussed to some extent the possibility of errors (i.e., the claimed criticisms against the experiment) in Section 3.2. If there had been any systematic error in the experiment, it would have also appeared in the 15 dog cases; however, MacDougall's statement "the results were uniformly negative; no loss of weight at death" (MacDougall, 1907:241-242) seems to imply that no systematic errors existed. On the other hand, the systematic errors had yielded uniformly null results for the dog cases (within the sensitivity of scales for dog cases). According to our current understanding of the laws of physics, the unaccounted for change in weight during the life-to-death transition should be zero; that is, any measured data should scatter roughly within the sensitivity of scales with a simple average of zero. However, MacDougall's four data points of the change in weight distribute only on the negative side, beyond the range of the scale sensitivity. Nevertheless, primarily because of the presence of systematic errors, it is essential to perform independent confirmation experiments to obtain important experimental results in order to avoid any fatal biases possibly caused by errors in the experiment. As quoted in Section 3.2(4), MacDougall was well aware of the necessity of independent confirmation experiments.
Therefore, the conclusion of this study is that Dr. Duncan MacDougall's experiment was adequately controlled for the measurement of the change in weight of more than 10 g, not less than a few grams, in the life-to-death transition of his patients, although he did not perform his experiment with those six brave volunteering patients in a completely isolated system. All the cases under which he performed the experiment remain to be pioneering cases ever published in a Scientific journal.
Nevertheless, someone is likely to propose a Scientific explanation of MacDougall's missing weights on the basis of some known physicochemical mechanisms. Any mechanism used to explain weight loss should satisfy the following requirements. Change in weight W(t) of an experimental subject can be expressed as follows:
dW/dt = R(t, W(t)),
where R(t, W(t)) is the rate of change in weight with time caused by certain physicochemical mechanism(s) that in turn may depend on W(t). W(t) changes only slightly (probably by less than 0.1% of its initial value W0) as shown in MacDougall's data; hence, R(t, W(t)) can be approximated with R(t, W0). If R(t, W0) is given, the change in W(t) during a time interval from 0 (time of death) to t (elapsed time after death) can be calculated as follows:
To explain the sudden decrease in weight upon death, as observed during MacDougall's experiment (see Figure 3), R(t, W0) should be proportional to δ(t) (Dirac's delta function), if not strictly so. The requirements are (1) |R(t, W0)| must have a relatively large value only for a few seconds after the time of apparent death and (2) R(t, W0) must reduce to almost zero for W(t) to remain almost constant at least for a short time after the few seconds. Therefore, any Scientific theory that is proposed to explain the loss of weight upon death, as observed in MacDougall's experiment, must be based on a physicochemical mechanism that satisfies requirements (1) and (2). However, for example, the rate of loss of weight due to insensible perspiration does not satisfy these requirements. In the field of forensic medicine, it is known that cellular decomposition starts immediately after death, and resultant gases are released from the dead body over time. This mechanism also does not satisfy the above two requirements. Therefore, it will be very difficult to Scientifically explain the loss of weight upon death, as observed in MacDougall's experiment. One may say that the change of 0.1% is a small fraction of W0. Nevertheless, it is not negligible when one understands the following Scientific fact.
4.2 Theoretical Implications of MacDougall's Data
If MacDougall's missing weights are determined by performing other similar types of experiments, as suggested in Ishida (2009), what would missing weights then imply? Table 2 shows a comparison among percent-mass-deficits (% ΔM/M0) of some physical, chemical, and life-to-death transition events. In this table, the first four rows show the %ΔM/M0 required for the release of energy (ΔE) from the well-known reactions in physics and chemistry; these values are calculated on the basis of the law of conservation of energy and Einstein's equation ΔE = ΔM × c2. We know that these mass deficits are associated with the reactions in the first four rows; however, only the mass deficits associated with nuclear reactions (No. 3 and 4) have been experimentally confirmed. The %ΔM/M0 in freezing water is too small to be detected using our current Scientific instruments as well as Count Rumford's balance (with a sensitivity of 0.27 mg for his water flask). For the same reason, %ΔM/M0 in H2 combustion has not yet been directly confirmed. However, the result of comparing these four rows roughly shows the well-known fact that molecular and chemical bond energies are extremely small compared with nuclear binding energy.
The value of %ΔM/M0 in the fifth row is calculated formally using MacDougall's missing weight data (ΔM) and the assumed average weight of the dying tuberculosis patients (M0 = 62 kg); the calculated value of %ΔM/ M0 ranges from 0.017% to 0.074%. This value may be formally interpreted that if there is a psychophysical interaction between the physical body and the assumed nonphysical mind of humans, the associated energy of the interaction is considered to be comparable to that of nuclear binding energy, and the missing mass implies a violation of the law of conservation of energy that is an empirical principle based on the assumption that our physical dimension is a closed system. The assumption of our physical dimension being a closed system may be wrong in the life-to-death transition: otherwise, there must be a huge explosion like a nuclear one at each human death.
4.3 Suggested Experimental Approach
Psychologist Harvey Irwin (1985), in his book on psychological study of out-of-body experiences (OBEs), reviewed the past weight measurement experiments performed to determine the weight of a supposed exteriorized entity (i.e., astral body); the results of his review can be summarized to the effect that no direct measurements of the "astral self's mass" had been performed because its mass was inferred from a change in weight observed in OBE experients. Additionally, these investigations had studied only individuals (or animals) at the point of death (Irwin, 1985:65), such as in the case of MacDougall's experiment (there is no direct reference to MacDougall's experiment in Irwin). After Blackmore referred to MacDougall's experiment, she wrote in another book that "Better designed modern experiments have led to the conclusion that nothing can be reliably detected leaving the body during OBEs" (Blackmore, 1993:181).
Both authors apparently assume that if the law of conservation of energy is applicable to the subjective phenomenon of OBEs, the weight or mass or energy of the supposed astral body should somehow be detected. However, if MacDougall's missing weight data are authentic, we need to assume that the missing mass/energy is transferred (or returned) to somewhere either (1) in an unknown nonphysical dimension in which the assumed nonphysical mind belongs or (2) in an unobservable physical dimension such as the fifth dimension currently postulated by some theoretical physicists. Probably, it must also be supposed that the astral body enters into the above-mentioned somewhere during OBEs; therefore, any effort to measure the physical weight of the astral body may be in vain.
Then, what we should do next is to observe the change in the weight in the OBE experient. In Ishida (2009), the present author showed a numerical simulation of a supposed weight measurement experiment on an OBE subject using a mathematical oscillation model for the modern weighing system under an assumption that the subject loses 21 g of weight during OBE; the author concluded that if the change in weight of the experimental subject is on the order of tens of grams, noise effects of the cardiac and breathing activities are not a fatal disturbance. There is no basis for the assumption of this weight loss (21 g) or any anomalous loss during OBEs; the assumption should be tested by performing better-designed modern experiments, despite Blackmore's apparently negative statement and despite the present situation that the study of OBE phenomenon is dominated by researchers who are inclined to explain the phenomenon materialistically based on neuroscience.
Frankly, the study of Ishida (2009) was initially motivated by a certain psychical knowledge dictated by the alleged nonphysical entity Seth through the trance channeling of the writer/poet Jane Roberts (1929-1984). The present author would like to quote relevant parts of this subject from some sessions (with permission from the copyright holders). From this author's point of view, some of Seth's statements given below are Scientifically verifiable for their Scientific validity, and actually some of the reported phenomena described in the psychical research (e.g., Carrington, 1919, 1939) appear to agree with the following statements of Seth's, which will be interesting to researchers in this field.
Good evening.
("Good evening, Seth.")
Now. These electromagnetic changes form their own kind of pattern,
which has mass but no weight, or weight so slight as to be indistinguishable.
The mass, generally speaking, is a denseness formed by the varying intensities.
There are mathematical precisions and formulas here. There is a ratio
between the mass, which is usually considerable, and the weight, which is
barely noticeable. These electromagnetic frameworks could be considered as
skeleton forms within physical matter.
The electromagnetic reality within the human organism has considerable
mass, but the entire physical weight amounts to 3 to 6 ounces at the very most.
Again, the mass is composed of electrical intensities. I have told you that all
experience is basically psychological, and that it is held in coded form within
the cells. One electrical pulsation can represent an emotional experience. The
importance of the experience to the individual will be responsible for the intensity
with which it is recorded. (Roberts, 1998:323, ES4/Session 197 on
October 11, 1965)
(This author's note: The concept of "mass" in Seth's term above differs from our concept of mass, which corresponds to the physical "weight" in Seth's term above. Further, the "electromagnetic" reality in Seth's term seems to be a more general concept in which our electromagnetic field is only a small portion manifesting in our physical dimension. These differences are mentioned in other sessions. ES4 stands for The Early Sessions Book 4 in the representation of Roberts' references.)
(This author's note: The quotations below are taken from some of the sessions in which Seth spoke about an individual's dream and out-of-body states.)
You focus your awareness in altered form into another universe, that is in every way as valid and permanent as your own. It is also as changing as the physical universe. A small amount of energy only is focused upon the physical field during sleep, enough simply to maintain the physical body within its physical environment (Roberts, 1998:2, ES4/Session 149 on April 26, 1965).
Now your consciousness will not be in it [the physical body], but it is hardly lifeless. Its maintenance is being controlled by the consciousness of the individual cells and organs of which we have spoken (Roberts, 1999b:210, ES6/Session 265 on June 6, 1966).
Almost all of your dream experiences do involve projection of one kind or another. These experiences vary in intensity, type, and even duration as any other experiences vary. It takes a good deal of training and competence to operate with any real effectiveness within these situations.
All in all the intellect plays some part, but the intuitional qualities are the most important. There are chemical changes that occur with the physical body when projections occur. There are also electromagnetic variations. These vary according to the form in which the projection occurs.
The projected form does make some impression upon your physical system. In other words, it is possible for it to be detected. It is a kind of pseudoimage, materialistically speaking, but it has definite electromagnetic reality, and chemical properties.
Now. Animals have indeed sensed such apparitions. There is hardly any magic involved. They react to the chemical properties of the apparition, and build up the image from it—from them, the properties.
These chemical properties however are more diffuse in an apparition than in a physical form. The chemical composition of a storm perhaps will give you an idea of what I mean. They are indeed small disturbances, you see—they form small disturbances within your physical system.
As a rule they are not solid in the same way that clouds are not solid, and yet they have shape, and to a certain extent boundaries, and of course movement. They definitely have a reality, you see, though you cannot usually perceive it with the physical senses.
Perhaps this diffused quality is the most important difference between such an apparition and a physical form. There is an atomic structure. In some ways however the structure is less complete than a physical form. There is always a minute difference in the physical body's normal weight when the individual is projecting. The excess chemicals built up during the waking condition are used to help form the projecting images. There is a slight loss of electromagnetic potency and chemical potency when the individual is projecting (Roberts, 1999b:252-253, ES6/Session 269 on June 20, 1966).
Additionally, Seth talked about the meaning of "physical death" in his first book Seth Speaks (Roberts, 1994/1972), and he said in effect that at death our consciousness may withdraw from our body slowly or quickly, depending on many variables, probably including our psychological dispositions (see Roberts, 1994:119, Speaks/Session 535 on June 17, 1970). This may give an insight on how to answer Blackmore's critical point regarding "death timing" against MacDougall's experiment.
(This author's note: "Consciousness" in Seth's term may cover the one[s] in psychology or philosophy, but it is more general as imagined from one of the short quotations above; Seth defined a concept of "Unit of Consciousness" in his book [Roberts, 1996a/Unknown Vol. 1]. The three forms of exteriorized entity with different capabilities during OBEs are explained in [Roberts, 1999b:179-180, ES6/Session 261 on May 23, 1966]. This may give an insight to answer Irwin's second issue [concerning theories of OBE] pertaining to the source of mentation in the OBE: "What are the informational origins of the imagery with the exteriorized perspective?" [Irwin, 1985:219].)
Probably the psychical knowledge quoted above may exemplify the idea of the modular model of mind/matter manifestations, M5, of Robert Jahn and Brenda Dunne (2001). (However, this does not mean that the M5 supports the psychical knowledge or the knowledge supports the whole idea of the M5.)
In regular sessions, as now, he [meaning Ruburt, i.e. Jane Roberts] and I again both make adjustments, and so in sessions I am what I call a bridge personality, composed of a composite self—Ruburt and I meeting and merging to form a personality that is not truly either of us, but a new one that exists between dimensions. Beyond that is my real identity. (Roberts, 1996b:338, Unknown Vol. 2/Session 711 on October 9, 1974)10
Additionally, regarding category (b), it will be worth mentioning that patients with the so-called multiple personality disorder are experiencing other kind of ASC when they switch between different personalities. Seth talked about this phenomenon in Sessions 255 and 256 in relation to "reincarnation" and our concept of "time," taking the well-known case in the book The Three Faces of Eve (Thigpen and Cleckley, 1957). (Session 255 was held on the occasion of Jane Roberts just finishing reading the book.) Seth explained that even physical changes would appear when a personality switches to another personality within her (four personalities in all in this case), mentioning two of them being allergic to nylon, while the other two not being allergic (Roberts, 1999b:133-135, ES6/Session 256 on May 4, 1966). Similar physiological or physical changes were described by the clinical social worker Lynn Wilson in the book with Joan Frances Casey The Flock (Casey with Wilson, 1991). The present author speculates from the observations reported by Wilson (p. 28) that the normal weight of the personality would have changed discontinuously when switching between personalities occurred, and, of course, this could never happen from the view point of our current Scientific knowledge. It will be very much problematic to get these patients involved as experimental subjects; however, it is also important for these patients to understand what is happening in themselves. Seth is explaining his very interesting idea (in terms of "reincarnation" and his concept of "simultaneous time [i.e. all experiences are happening simultaneously in the spacious present]") eloquently in the case of Eve in Session 256.
Repeating category (c) experiments is not only considered to be as objectionable today (when people often die equipped with a resuscitator) as it was 100 years ago (see the case of Patient 4 in Table 1), if not legally forbidden, but also performing such experiments will never promote Scientific research on this subject. Even if a modern weighing "soul" experiment on humans (as discussed in Section 3.1(3), performing such experiments using animals will be meaningless as well as difficult due to disturbance effects) gives a positive result, as in the case of MacDougall's experiment, it is necessary to perform category (a) and (b) experiments; these experiments are repeatable and are much more meaningful than those performed to weigh the "soul." We have Scientific research results on human reincarnation, for example results obtained by Stevenson (1986). If experimental results of categories (a) and (b) are positive, "the eternal validity of the soul" (Seth's phrase; Roberts, 2002/ES9:444) would be concluded from them together with Professor Stevenson's lifework on human reincarnation. Besides, it should be noted that researchers in this field (including this author) are always afraid that their research results of the category (c) experiment will be misinterpreted or misused by non-specialists in this field including mass media for their personal interests, profits, etc.
4.4 Concluding Paper
In 1799, the Count of Rumford, Sir Benjamin Thompson, published an experimental thesis entitled "An Inquiry Concerning the Weight Ascribed to Heat" in a British Scientific journal. The objective of Rumford's experiment was to show that heat is not a substance that exhibits weight, but it is an internal vibratory motion of the constituent parts of heated bodies. Einstein (1905) theoretically showed that mass and energy are both different manifestations of the same thing, which was experimentally verified. Today we know heat is a form of energy (ΔE) that contributes to the weighable mass (ΔM) of a heated body based on ΔM = ΔE/c2. Therefore, in a sense, Rumford was wrong.
About 100 years after Rumford's paper on the weight of heat, MacDougall's paper in 1907 reported on the weight of a "soul substance." Reading Rumford's paper, Len Fisher (2004) acquired the idea of convection currents to refute in vain the idea of a weighable soul substance.
The present author speculates that for an explanation of the missing weights in MacDougall's experiment, we have to wait for another Einstein to propose a Scientific theory, which would state that "consciousness, energy, and mass, all of these are different manifestations of the same thing." Seth is telling us that "Scientists say now that energy and matter are one. They must take the next full step to realize that consciousness and energy and matter are one" (Roberts, 1997a:114, Dreams Vol. 1/Session 881 on September 25, 1979).11
MacDougall's experiment is concerned with human consciousness, which is one of most enigmatic subjects in current Scientific fields. One may say that this author is falling into a pitfall of dualism. This author does not think so. His speculation resumes: probably MacDougall did his experiment using the physical patients that his "Inner self" (Seth's term)12 created before and after their deaths in his subjective world or in his ostensibly objective world, basically in the same way that a legitimate physical medium materialized a pseudo-image personality in séances.13 Seth dictated: (at death) "It [the consciousness] merely ceases to construct the physical image. There is no great mystery here. What seems a mystery is merely the result of ignorance" (Roberts, 1997b:80, ES2/ Session 51 on May 6, 1964).
Notes
Acknowledgments
The present author would like to thank Mr. Rick Stack, President of New Awareness Network Inc., and Amber-Allen Publishing for their kindhearted permissions for the quotations of the Seth material published in the books referred to in this paper. This author also wishes to thank Professor Carlos Alvarado, University of Virginia Health System, and the responsible Editors of the Journal of Scientific Exploration for their kindhearted help in accessing the 102-year-old MacDougall paper published in the Journal of the American Society for Psychical Research. Further, this author also immensely appreciates the knowledge imparted by Seth in typically contemporary terms through Jane Roberts and her late husband Robert F. Butts (1919-2008); without this knowledge, this author would never have attempted to publish this paper as well as the previous one (Ishida, 2009).
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