
Consequences Of Partitioning The Photon Into Its Electrical And Magnetic Vectors Upon Absorption
By An Electron
Published in: The Nature of Light: What are Photons? V. Chandrasekhar
Roychoudhuri; Al F. Kracklauer; Hans De Raedt, editors, Proceedings of SPIE Vol 8832 (SPIE,
Bellingham, WA), 883201, 2013. Daniel S. Szumski^{*}
^{*}Independent Scholar, 513 F Street, Davis, CA 95616, USA,
DanSzumski@sbcglobal.net Phone: 5104187155
ABSTRACT
This research uses classical arguments to develop a blackbody spectral equation that provides useful insights
into heat processes. The theory unites in a single equation, the heat radiation theory of Planck and the heat of
molecular motion theory of Maxwell and Boltzmann.
Light absorption is considered a twostep process. The first is an adiabatic reversible step, wherein
onedimensional light energy is absorbed in a quantum amount, , by an electron. The absorbed quanta is still
1dimensional(1D), and remains within the domain of reversible thermodynamics. There is no recourse to the
Second Law during this first step.
The absorption process' second step is a dimensional restructuring wherein the electrical and magnetic vectors
evolve separately. The 1D electrical quanta transforms into its 3D equivalent, electrical charge density. The
resulting displacement of the generalized coordinates translates to 3D motion, the evolution of Joule heat, and
irreversible thermodynamics. The magnetic vector has no 3D equivalent, and can only transform to 1D
paramagnetic spin. Accordingly, photon decoupling distorts time's fabric, giving rise to the characteristic
blackbody spectral emittance.
This study's spectral equation introduces a new quantity to physics, the radiation temperature. Where it is
identical to the classical thermodynamic temperature, the blackbody spectral curves are consistent with Planck's.
However, by separating these two temperatures in a stable farfromequilibrium manner, new energy storage modes
become possible at the atomic level, something that could have profound implications in understanding matter's
living state. Keywords: Blackbody equation, farfromequilibrium, temperature, heat radiation, covalent bonds
1. INTRODUCTION
Planck's blackbody emittance equation(1) is the universally accepted model for heat radiation's equilibrium,
spectral distribution. It has been found superior to any other contemporary form(2,3,4,5,6). However, this
acceptance is only justified for equilibrium, and leaves two important issues unresolved. First, Planck's solution
provides no insight into nonequilibrium or farfromequilibrium states, or the mechanisms of redistribution
between equilibrium states(7). Only Ehrenfest (8) has explored redistribution mechanisms, and Forte(9) describes a
nonequilibrium Wein Displacement Law. Secondly, Planck's energy quanta violated the continuity requirements of
Maxwell's equations. Einstein first enunciated this discrepancy, and Planck spent the next 2 decades, unsuccessfully
trying to resolve it. Meanwhile, the experiments of Stark(10), and Einstein's light particle theory(11)
demonstrated the dual nature of light, galvanizing the discontinuity's place in physics. More recent studies of
nonquantum blackbody theory(12,13,14,15,16,17) have not reconciled this conflict.
This paper explores one possible avenue to a nonequilibrium blackbody equation. The goal here, is understanding
free energy partitioning between the domains of heat radiation, and molecular motion.
2. THEORY
Planck(18) viewed the separation of all physical phenomena into reversible and irreversible processes as the most
elemental, and most important, because all irreversible processes share a common similarity that makes them unlike
any reversible process. This distinguishing characteristic is the transformation of heat energy to motion, which can
in no way be referred back to the process from which it came. This research considers Maxwell's electromagnetic wave
traveling undiminished in time, its information content preserved, until it encounters a material particle.
Light absorption is considered a twostep process as illustrated in Figure 1. The first is an adiabatic reversible
step, wherein onedimensional light energy is absorbed in a quantum amount, ,
by an electron, and is wholly contained within it. The absorbed quanta is still 1dimensional(1D), remains within the
domain of reversible thermodynamics, and does not emit Joule heat. There is no recourse to the Second Law during this
first step.
Figure 1: Evolution of electrical vector during light absorption. (A) Preencounter  Maxwell's equations valid,
discontinuity does not yet exist; (B) First absorption step  complete 1D, adiabatic absorption of quantum;
(C) Nonadiabatic conversion of quantum to 3D charge. Dielectric loss is operative.
The absorption process' second step is a dimensional restructuring that the 1D electrical quanta undergoes in
evolving into its 3D equivalent, electrical charge density. This occurs in accordance with the Equipartition Theorum,
along the axes of the electron's three spatial coordinates. The resulting displacement of the generalized coordinates
translates to 3D motion, the evolution of Joule heat, and irreversibility. The magnetic vector has no 3D equivalent,
and can only transform to 1D paramagnetic spin. Accordingly, photon decoupling distorts time's fabric, giving rise to
the characteristic spectral emittance.
This second absorption step is represented by a Dirac delta over the 3D transformation's time interval
(1)
with variance distribution:
(2)
The probability distribution's restructuring from a 1D quanta, , to three
dimensions requires taking the next two moments of the variance function relative to the Wein frequency,
Thus:
(3)
The results are summarized as:
(4)
(5)
The third moment represents all of the possible interconnections between any arbitrary frequency and the Wien
frequency. is the most probable frequency at the prevailing temperature.
is the damped frequency continuum of
the blackbody spectra.
Assuming the radiation absorption function to be exponentially distributed,
(6)
and substituting this absorption and the RalieghJeans emittance into Kirchhoff's Law:
(7)
This spectral distribution: 1) is derived entirely from classical theory; 2) contains the discontinuity
indirectly, (h); 3) incorporates the
consequences of electromagnetic theory (RayleighJeans Law); and 4) suggests a mechanism for exchange of
energy between frequencies. Sears[19] gives Wien's Displacement Law as:
Figure 2: Comparison of Equation (7) with Planck's Equation (9). The curves terminate
at a single quanta per frequency
(8)
Figure 2 displays features of the blackbody radiation spectra described in this way. The figure also displays
calculations using Planck's Equation:
(9)
(9) The agreement is close, but not exact, differing by less than 2% at ,
and in the 5%8% range to the left, where Eq.(7) better represents RalieghJeans. The curves terminate at the point
where the calculations yield partial quanta. The number of quanta is obtained by dividing the spectral emittance by
the conversion factor and then dividing by
.
3. DISCUSSION
Both the two slit experiment and the photoelectric effect are consistent with this theory. The wave properties of
light are unaltered. The theory eliminates discontinuity as a property of light, placing it instead in the electron, more
precisely, in the electrons absorption of light in quantum amounts. This reassignment isn't contrary to, nor does it
change, existing theory.
Eq.(7) offers two significant advances over Planck's which are instructive in furthering our understanding of heat
processes. The first is Eq.(7)'s explicit statement for energy transference between frequencies. This was identified at the
outset as the distinguishing characteristic of the required nonequilibrium blackbody form. Eq.(5) suggests that the
common channel for energy redistribution is the Wien frequency, since each spectral frequency is explicitly related to it.
Planck's equation can also be shown to contain the same ratio(21).
Second, Eq.(7) contains two distinct thermodynamic scales (Figure 3), representing the entire range of nonequilibrium
heat conditions. The concept of two temperature scales is not new(22,23,24,25,26,27). The first of these scales is the
classical thermodynamic temperature, of the RaylieghJeans Law, T_{m}. It is common to
both equations, and expresses the temperature of thermal motion alone.
Figure 3: Farfromequilibrium blackbody spectral equation showing the two temperature scales:
T_{m}, the classical thermodynamic temperature, and T_{R},
a new temperature, the radiation temperature.
The second temperature, that contained in the Wien Displacement Law, is identical to the first where the system is in
equilibrium. However, it is fundamentally different from T_{m} in ways that could give
profound meaning to Eq.(7). This is the radiation temperature, T_{R}. That it can be
expressed in the same units as the classical thermodynamic temperature, is seen in the equilibrium case. However, changes
in T_{R}, independent of the thermodynamic temperature, shift the spectral distribution in
plausible nonequilibrium ways that may provide insight into both nonequilibrium and farfromequilibrium heat processes.
Figure 4: Illustration of nonequilibrium changes in the heat radiation spectra (Equation 7). Case A represents
instantaneous mass domain heating (i.e. friction) at constant radiation temperature. Case B represents
adiabatic energy accumulation at a constant thermodynamic temperature. Such displacements can be
unstable as in the case of sonoluminesence, or stable in accordance with the authors hypothesis, as in living
cells.
Consider Figure 4 where T_{R}, and consequently the Wien frequency remain constant while
T_{m} increases from 300 °K to 10^{5}
°K (Case A). This represents a sudden frictional input of heat to a material body that is
initially at thermal equilibrium. Similarly, T_{R} can be increased without a
increase in the thermodynamic temperature (Case B). The radiation density within the blackbody is increased without a
corresponding increase in the RaylieghJeans emittance. The new region delineated by this spectral distribution consists
primarily of higher energy radiation, but the process from which it arises appears to an observer to be adiabatic, and might
therefore, be viewed as completely reversible. From this theory's standpoint, the energy content within this new region
(Case B) consists entirely of radiation transfers that are undergoing the first stage of radiation absorption, alone. That
is, radiation is fully absorbed in its onedimensional form and immediately reemitted. There is no decoupling of light's
electromagnetic structure, and therefore no entropy increase. This is the initial condition when high energy radiation
strikes a body initially at equilibrium.
Taking this result further, one might ask: Are there states in nature that exploit the energy/entropy relationship suggested
by these calculations? There might be. Living systems are constructed of high energy covalent bonds that both, represent
very farfromequilibrium conditions, and store larger amounts of electromagnetic energy than would normally exist at
the T_{m}. It is possible that Case B shows how farfromequilibrium energy storage
might be masked from ambient thermodynamic conditions in matters living state. Each covalent electron pair shares the wave
function, trident^{2}, alternately absorbing and reemitting light energy, but only in a manner consistent with
this theory's first absorption step. This portion of the heat radiation spectra is localized (masked) between electron
pairs, and does not contribute to either the measurable heat spectra or to dielectric losses. Thus, the thermodynamic
temperature of the cell (T_{m}) is unaffected, and a stable farfromequilibrium
condition with lower localized entropy, is possible. The degree of entropy decrease is defined by the separation between
T_{m} and T_{R}. The permanence of that change
appears to depend on irreversible storage of negentropy outside mechanistic pathways back to equilibrium(28). Covalent
bonds in living systems could satisfy this condition. Eq.(5) suggests enormous capacity for farfromequilibrium entropy
absorption and the information storage this implies. The thermodynamically reversible character of the covalent bond is
illustrated in Figure 5.
Figure 5: (A) The covalent bond stores heat energy between two covalent electrons by maintaining the
photon storage continuously in the the first step of photon absorbtion, and in this way maintains a stable adiabatic
reversible state. (B) Different portions of the farfromequilibrium covalent energy storage might be apportioned by
function, mitotic state, or structural elements.
As the energy storage requirements begin to exceed the capacity of the covalent bond system, other mechanisms for
storing this biological energy in a stable farfromequilibrium state might be found in elevated electronic states, and
probably even excited nuclear states, where the energy storage would take the form of Mossbauer Resonance.
A second example of farfromequilibrium spectral energy storage might be found in sonoluminesence, wherein
mechanical energy is converted to electromagnetic energy. In this case, mechanical energy increases
T_{m} instantaneously without a corresponding increase in T_{R} (Mass domain heating in Figure 4). Lacking any mechanism to
maintain this farfromequilibrium condition, the system spontaneously moves toward equilibrium by channeling
the stored mechanical energy through the Wein frequency channel, and thence, into the radiation domain. If the
energy flux is high enough, visible light is observed.
Figure 6: Illustration of the the hypothesized farfromequilibrium spectral distribution in
a cold fusion reactor that is at 'room temperature.' The temperature at the right side of the farfromequilibrium
energy spectrum approaches solar core temperature by taking an energy shortcut around the enormous energy of thermal
motion required to achieve the same solar core temperaature in the Tokamak.
A final example of where this type of heat theory may prove important to scientific understanding is found in what has
been called cold fusion. Energy storage in a palladium or nickel electrode might occur in the radiation domain (Case B in
Figure 3), first as excited electronic states and a corresponding increase in the redox state, and later in excited nuclear
states. Is it possible that such a system could exhibit radiation temperatures approaching 10^{7}°K while the ambient temperature of the electrolysis apparatus is around 373 °K? Stranger paradigms have occurred in the history of science.
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