The type of interconnection and combination between resonating structures is key for consciousness to expand beyond the rudimentary type of consciousness that we expect to occur in an electron, atom, or molecule. The central thesis of our approach is this: shared resonance among micro-conscious constituents allows for macro-conscious entities to arise because of a step change in the speed and bandwidth of information exchange. We flesh this idea out in the rest of the paper.
 
In human brains, for example, we’ve seen already that one candidate for the primary neural correlate of consciousness is gamma synchrony (Hameroff 2010), but mammalian consciousness is actually correlated with a combination of lower harmonic frequencies as well as gamma, rather than only gamma (as Fries 2015 describes).
 
This shared resonance through electrochemical frequencies creates an electrical field that may itself be the seat of macro-conscious awareness. Looking only at gamma synchrony, as an example for discussion: as the area of shared gamma synchrony moves around the brain it absorbs new neurons into the same resonance frequency; and as it moves away from certain neurons its lets those others return to their previous state of resonance.
 
By absorbing new neurons into the moving semi-stable gamma wave pattern, this moving large-scale wave entrains those neurons to the same frequency and thus allows information and processing power of the many “little minds” constituted by those neuron clusters to become part of the macro-conscious entity. The smaller harmonics are entrained into the larger harmonic – their “windows” are all open to each other and information flows freely. The macro-consciousness is changing in each moment to exactly the degree that its constituent neurons are changing in each moment.
 
Whitehead, one of the most influential panpsychists of the modern era, states in his 1929 magnum opus, Process and Reality, that “the many become one and are increased by one” (Whitehead 1929, p. 21). This means that a new higher-level entity arises from the lower level of entities, but there is no extinction of any of the lower-level entities; only an increase of one.
 
This consciousness-through-resonance proposal has some recent precedents. Fries first proposed his Communication Through Coherence (CTC) model in 2005 and issued a substantial update to his theory in 2015 (Fries 2015). The update summarized the relevant research in the intervening decade, and also modified the original theory in light of contrary evidence. Our approach mirrors Fries’s CTC model, and other similar approaches, in terms of a proposed model for human cognition and consciousness. Our aim, however, in this paper and our previous work is to generalize insights from the study of mammalian consciousness to a broader theory about consciousness and ontology that applies beyond mammalian consciousness, potentially to all actual entities.
 
Fries 2015 describes his CTC model and the role of “selective communication” as a function of resonance between different components of the brain (what we described above as the “windows” that are opened when coherent/resonant, and closed when incoherent/not resonant):
 
[S]trong effective connectivity requires rhythmic synchronization within pre- and postsynaptic groups and coherence between them, or in short—communication requires coherence. In the absence of coherence, inputs arrive at random phases of the excitability cycle and will have a lower effective connectivity. A postsynaptic neuronal group receiving inputs from several different presynaptic groups responds primarily to the presynaptic group to which it is coherent. Thereby, selective communication is implemented through selective coherence.
 
Coherence also allows for entrainment of certain neurons to the dominant resonance frequency (id.):
 
In addition to rendering communication effective and precise, coherence also renders communication selective. If one set of synaptic inputs, constituting one neuronal representation, succeeds in triggering postsynaptic excitation followed by inhibition, this inhibition closes the door in front of other inputs. Those other inputs are then unable to transmit the neuronal representation that they constitute, and they are unable to trigger inhibition themselves. Thereby, the winning set of synaptic inputs conquers the perisomatic inhibition in the postsynaptic neuronal group, entrains it to its own rhythm, and thereby establishes a communication link that is selective or in other words, exclusive.
 
Zeki and Bartels have also suggested an approach that shares certain features with the model proposed here. It is now widely accepted that evolution entailed a process in which simple organisms combined to form the organelles (e.g. mitochondria) of more complex eukaryotic cells, which in turn combined to become multi-cellular organisms (Margulis and Sagan 1990). Just as life evolved the capacity to integrate independent living creatures into more complex singular life forms, it may have similarly developed the capacity to integrate subjective experiences into nested hierarchies of higher-order conscious entities. Such a hierarchical view of consciousness represents the basis of Zeki and Bartel’s (Zeki and Bartels 1999; Zeki 2003) theory of how consciousness manifests in the brain.
 
Drawing on differences in the processing rates of different areas of the visual system, Zeki suggests that the brain engages in a nested hierarchy of distinct conscious experiences leading to a final unified experience. He proposes three hierarchical levels at which consciousness takes place in the brain: micro-consciousness corresponding to the different levels of the visual system that process distinct attributes (e.g. V4 processes color where as V5 processes motion), macro-consciousness that integrates multiple attributes of a system (e.g. binding color to motion), and unified consciousness corresponding to the experience of the perceiving person. Zeki further suggests that each of these nested levels of consciousness occur in a distinct temporal order, with the lower order levels being ahead of and feeding into the higher order levels. Zeki describes his model as follows (Zeki 2003):
 
It thus becomes possible to distinguish three hierarchical levels of consciousness: the levels of micro-consciousness, of macro-consciousness, and of the unified consciousness. Of necessity, one level depends upon the presence of the previous one. Within each level, one can postulate a temporal hierarchy. This has been demonstrated for the level of microconsciousness, because colour and motion are perceived at different times. It has also been demonstrated for the level of the macro-consciousnesses, because binding between attributes takes longer than binding within attributes… Micro- and macro-consciousnesses, with their individual temporal hierarchies, lead to the final, unified consciousness, that of myself as the perceiving person.
 
Although Zeki only describes three levels, we suggest here that there are likely many additional lower-level micro-conscious entities that are part of the human/mammalian hierarchy of consciousness. Accordingly, the inorganic world may involve only the most micro-level conscious observers at the level of atoms and molecules. In contrast, life may have evolved the capacity to develop hierarchies of conscious observers within observers, with each level subsuming a more macroscopic perspective, leading ultimately to the highest level at which the unified experience of the organism occurs. This nested hierarchy is likely far larger than just three levels of hierarchy, but Zeki’s approach makes sense as a schematic.
 
Zeki offers a way of distinguishing his proposed levels, namely, by the temporal order in which they occur, with higher order experiences occurring temporally downstream. In other words, Zeki’s view suggests that the different conscious observers in the brain may experience the same events at different times and at different durations, with the final unified consciousness entailing the longest moments of experience. We share this view and elaborate on it further below.

V.            What type of resonance is necessary for combination of consciousness?

 
We have already suggested the mechanism for combination to occur: a shared resonance leads to combination and the “many become one and are increased by one.” This means that each micro-conscious entity is included in a new macro-conscious entity, but the micro-conscious entities are not extinguished through such combination. The macro-conscious entity supervenes on the micro-conscious entities.
 
But what type of resonance leads to such combination? Confining our consideration for now to mammalian consciousness, we have good data to support the suggestion that it is a shared electrical resonance that is generally the proximate cause of combination, as discussed above (Fries 2005, 2015). There may also be a shared quantum entanglement resonance that precedes and leads to this shared electrical resonance, or that has some other relationship to the shared electrical resonance.
 

A.   The “quantum question”

 
A note on the controversy about claims of quantum phenomena in the biological context is important at this point. There has been a long debate about whether quantum phenomena are even possible in biological systems (Tegmark 2000, Hameroff and Penrose 2014, Craddock, et al. 2017, e.g.). Some physicists and neuroscientists adopt the view that quantum phenomena cannot be present in the warm wet systems of mammalian brains. However, the field of “quantum biology” is thriving and new examples of established or potential quantum effects in warm wet biological systems are coming to light with increasing regularity (see Lambert, et al. 2013, for a recent review). In sum: it is now well-established, despite the commonly-held view that quantum effects can’t be present in mammalian brains, that quantum phenomena are in fact quite common in biological systems.
 
While we are open to the possibility of quantum phenomena in mammalian brains, and possibly being part of the complex causal phenomena of consciousness, our resonance theory of consciousness does not require the presence of quantum phenomena for its validity. Our concern in raising the “quantum question” is two-fold: to not rule out quantum phenomena prematurely (to follow the facts where they may lead), but also to not rush to the conclusion that quantum phenomena are in fact present in the dynamics of consciousness. There is plenty of room between accepting, for example, that some brain dynamics seem to operate independently of traditional electrochemical neuronal pathways, and the notion that quantum phenomena must be invoked to explain such apparent anomalies. There is a vast middle ground that should be explored before such an alternative explanation is considered to be necessary.
 
What is happening that seems to allow such rapid communication across large parts of mammalian brains? Freeman and others (Pockett 2000; McFadden 2001, 2002a, 2002b) have suggested that the electric field itself, which is created by the brain and supervenes on the brain, becomes a mediator of information, and that cortical neurons that resonate together undergo a phase transition into a unitary quantum state. Freeman and Vitiello 2006 states:
 
Our field theoretic model leads to our view of the phase transition as a condensation that is comparable to the formation of fog and rain drops from water vapor, and that might serve to model both the gamma and beta phase transitions.… The adoption of such a field theoretic approach enables us to model the whole cerebral hemisphere and its hierarchy of components down to the atomic level as a fully integrated macroscopic quantum system, namely as a macroscopic system which is a quantum system not in the trivial sense that it is made, like all existing matter, by quantum components such as atoms and molecules, but, as already mentioned, in the sense that some of its macroscopic properties can best be described with recourse to quantum dynamics.
 
Weingarten, et al. 2016 shows plausible pathways for quantum networks to exist alongside classical networks in the brain.
 
The current evidence suggests that it is plausible that electrical resonance is mediated by quantum resonance and perhaps prompted/prodded by quantum resonance in such a way that the very rapid achievement of electrical resonance states that we observe in mammalian brains is made possible by the far more rapid quantum resonance states at the subcellular level.
 
We are, however, agnostic currently about the likelihood or necessity for quantum mechanisms mediating mammalian consciousness, or for the necessity of quantum mechanisms to be involved in a broader explanation of consciousness beyond the category of mammalian brains. At this juncture there is not strong evidence that an ongoing quantum synchrony is the pathway for shared information between the constituent micro-conscious entities. That appears to primarily occur through electrochemical and electric field pathways. 
 
Regardless of whether quantum mechanisms are required to understand mammalian consciousness, however, the theory and worldview we are proposing here is consonant with the quantum mechanical worldview and its wave-and-field-based ontology, which is the underlying ontology of today’s physics.
 
In this ontology, all actual entities exist in a large interconnected web. To exist in this web, or “field” (or set of fields), to use more appropriate physics terminology, is to send waves of various frequencies to the rest of the field. These frequencies are simply waves of the field itself, not something existing over and above the field. The universe consists of only the field and various waves moving through that field. What we think of as matter or energy consist of more concentrated and higher frequency waves of that field.
 
This is the ontology strongly suggested by quantum field theory, but even though quantum field theory has been with us for half a century, its details are complex and controversial. Accordingly, the field and wave-based ontology that is part and parcel of quantum field theory hasn’t generally sunk into the collective consciousness.
 

B.    What information pathways are responsible for macro-scale consciousness?

 
If shared resonance is the mechanism for achieving combination of consciousness, what information pathways are responsible for achieving shared resonance? We’ve suggested above that electrical and electrochemical forces seem to be the most relevant, with a possible role for quantum interactions. This section looks further into what fundamental forces are relevant to consciousness, and distinguishes our approach from Hameroff and Penrose’s Orch OR model that relies on gravitational interactions (Hameroff 2013).
 
There are various information pathways we should look to in our survey of potential information pathways, starting with the fundamental physical interactions: electromagnetism; gravity; the strong and weak nuclear forces; and the newer but now well-established quantum mechanical interaction.
 
We suggest the provisional conclusion that characteristics of electricity and electromagnetism more generally seem to make it the most suitable type of resonance for combination beyond the atomic scale, perhaps mediated by various types of subcellular quantum resonance.
 
By definition, the strong and weak nuclear forces generally apply only to nuclear-scale physics, which seems to leave these forces out of the equation in terms of any putative consciousness larger than a nucleus or an atom.
 
Gravity is the other established long-range force but we have little reason to believe that gravity plays much if any role in consciousness because it is so weak compared to electromagnetism. At the spatial scale of biological organisms that we are familiar with – what we’ll call the “organic scale” from now on – electromagnetic effects vastly overshadow gravitational effects – by many orders of magnitude. Penrose and Hameroff have, however, suggested a role for gravity in ongoing quantum collapse in their recent work revising their Orchestrated Objective Reduction theory of consciousness (Hameroff and Penrose 2014), based on the proposed Diosi-Penrose objective reduction approach to quantum gravity. 
 
Accordingly, electromagnetism seems to be the best candidate currently for the primary fundamental interaction at the scale of biological life and consciousness. A growing body of evidence suggests, however, that quantum effects are also operative and influential at the organic scale, as discussed above. The potential complementary relationship between quantum resonance and electrical resonance requires considerably more research, and we can’t say much about how these two forces interact at the organic scale, or whether they are in some sense the same resonance phenomenon with different manifestations – two sides of the same coin perhaps. 
 
If we accept the provisional conclusion that electricity or electromagnetism more generally is the place to look for shared resonance between neurons, we must still consider the question: what components of neurons and what physical processes must achieve a shared resonance for the combination of micro-conscious entities to occur?
 

C.    Is subcellular resonance key to consciousness?

 
There is a related and growing body of research that looks at the subcellular processing taking place in microtubules and other proteins like actin, beta spectrin, SNARE complex and clathrin (Hameroff and Penrose 2014; Craddock 2014 and 2015; Sahu et al. 2013; Bandyopadhyay 2017). Microtubules and similar proteins are common in neurons and were previously thought to be a type of support scaffolding for these types of cells. Recent research has, however, shown that these molecules can be rich information processors through the activity of dipolar tubulin molecules, at least in the case of microtubules. Hameroff 2013 calculates at least 1016 additional operations per second arising from microtubule operations in each neuron, which is a massive increase over the roughly 105 operations per second per neuron thought to be possible through axonal-dendritic connections alone.
 
Hameroff and Penrose 2014 describes an important addition to their Orch OR approach in which “beat frequencies” at classical oscillation time periods manifest during such oscillations, but are based on faster quantum oscillations at a more granular level, thus addressing objections about decoherence occurring at “warm” biological temperatures that some have leveled against Orch OR:
 
In previous Orch OR publications, the relevant time t for conscious moments … has been assumed to correlate with physiological EEG parameters, i.e. 10 to several hundred milliseconds, which is relatively long for isolated quantum systems. But here we suggest an alternative way in which such oscillation frequencies might come about, namely as beat frequencies, arising when OR is applied to superpositions of quantum states of slightly different energies. This makes the task of finding an origin for these observed frequencies far simpler and more plausible.
 
Could a higher frequency shared resonance – well beyond the 30-120 Hz of gamma frequency – of these subcellular processes lead to combination of consciousness at the subcellular level? Craddock et al. 2017, for example, looks at the correlation between terahertz-level (1,000 Hz and above) oscillations in tubulin molecules and anesthetics. Or is it only the cellular and intercellular levels of resonance that we should look to as the causal mechanism for combination of consciousness? Or do subcellular processes precede in time the cellular processes, at a more granular scale, which then lead to a shared resonance at the global level of each brain? 
 
These are all questions that should be active areas of research and we are optimistic that research in these areas will grow considerably in the coming years.
 

D.   Is there a resonance “signature”?

 
We suggest a corollary to the resonance hypothesis: that each particular mind may enjoy its own resonance signature, a particular frequency that is commonly manifested during waking consciousness. This signature will change slightly in each moment, or will perhaps oscillate around an average frequency value. But, for example, Schooler’s normal gamma synchrony signature is slightly different than his mother’s, or yours, or his cat’s, or a bacterium’s resonance frequency (bacteria don’t experience gamma synchrony as far as we know).
 
Each particular signature frequency will itself be changing constantly in time, so there is no “essential” signature that constitutes you or us. But as just suggested, there may be average values around which our own individual signatures oscillate.
 

VI.          Addressing the various types of combination problems

 
Chalmers 2013 examines the combination problem and various proposed solutions. He describes not just one but three main types of combination problems: 1) the subject irreducibility problem; 2) the quality combination problem; 3) the structure combination problem.
 
We describe briefly how our approach addresses these three aspects of the combination problem. In summary, our resonance theory of consciousness provides essentially the same solution to each of the three combination problems: shared resonance in proximity leads to combination of entities through a relatively stable causal structure and significantly higher data bandwidths between the components of each higher-level conscious entity. The net result of achieving a shared resonance in proximity is a step change in speed and bandwidth of information flows, which, in turn, allows a unified entity to arise where before there was only a mere aggregate.
 
This is not, however, an all or nothing affair. Rather, resonance can be achieved momentarily, resulting in a flicker of shared consciousness, and then disappear in the next moment for various reasons. One of the defining features of biological life and biological consciousness is the ability to create relatively stable structures that allow for a persistent type of consciousness, flickering on and off with wakefulness and sleep, but continuing during the lifetime of the entity at issue, in terms of a store of memories, values, history, and relationships to the surrounding world.
 
1. Subject irreducibility problem
 
Chalmers asks, as the first type of combination problem: “how do microsubjects combine to yield macrosubjects?” We explained above how the oscillating nature of all actual entities allows combination by achieving a shared resonance, with the speed of the specific information flows that are present within each oscillation time period determining the size of each actual entity in each moment. Biological entities have mastered much faster types of information channels (nerves, electrical fields, etc.), through various types of resonance, allowing for much larger actual entities to form and to be sustained as semi-stable patterns over time. 
 
2. Quality combination problem
 
Chalmers next asks “how do microqualities combine to yield macroqualities?” He adds: “Here macroqualities are specific phenomenal qualities such as phenomenal redness (what it is like to see red), phenomenal greenness, and so on. It is natural to suppose that microexperience involves microqualities, which might be primitive analogs of macroqualities. How do these combine?”
 
Our answer is the same as above because all actual entities include, by definition, the qualities of consciousness. Their combination, as described above, includes the combination of their qualities into a macro-conscious subject, with the experienced qualities of said subject being the sum of all included sub-entities. Just as a musical note or chord is the sum of its constituents, or a paint color mixed from other colors is the sum of its constituents, the qualities of each macro-conscious entity are the sum of its constituents. 
 
The related “palette problem” (Goff 2017) is resolved under this approach by recognizing that even if the fundamental qualia in micro-conscious entities are limited (which we don't take a position on), the nested hierarchy that constitutes any mammalian consciousness, or similar level of biological complexity, includes, due to its complexity, more complex qualia in exactly the same manner as animal behavioral complexity increases with size and neural development. Each level of organizational and structural complexity adds the capacity for additional qualia complexity, and the dominant consciousness that we call waking consciousness includes every lower level in some manner, even if isn’t (as is generally the case) directly accessible by the dominant waking consciousness. 
 
3. Structure combination problem
 
Chalmers asks: “how does microexperiential structure (and microphysical structure) combine to yield macroexperiential structure?”  He adds: “Our macroexperience has a rich structure, involving the complex spatial structure of visual and auditory fields, a division into many different modalities, and so on. How can the structure in microexperience and microstructure yield this rich structure?”
 
Our response is again the same: the physical structures that support consciousness (they are two sides of the same coin, so we could as well state instead “the experiential structures that support physical structures”) are the product of (nested) resonance at various levels. All actual entities are conscious/experiential to some degree, but the fundamental physical components like electrons, protons, etc., are minimally conscious. These complex structures are a hierarchy of nested resonant structures. It is likely that consciousness only becomes non-negligible in complex structures like animal bodies/brains (but we can speculate about larger-scale but far slower consciousness in stars, galaxies, etc., depending on the stability of internal structures to those entities). The physical structures of animal bodies/brains are the substrate for information/causal pathways that lead to the combination of consciousness. As described above, the speed of information flows is the limiting factor for the size of each macro-consciousness. 
 
The similarity of these answers is a benefit rather than a detriment, highlighting the simplicity and coherence of our conceptual structure.
 

VII.        Conclusion

 
In sum, our resonance theory of consciousness attempts to connect ongoing research efforts in various fields with the notion, suggested in some manner by various thinkers over the last two decades, that shared resonance is key to the nature of consciousness. More specifically, we suggest that the “easy part” of the Hard Problem – what is known generally as the combination problem – may be resolved by looking to shared resonance as a general mechanism for combination of micro-conscious entities into macro-conscious structures, without extinguishing the micro-conscious entities. This process provides a possible framework for addressing the combination of consciousness in all actual entities – that is, we posit this as a general mechanism – not just in the context of mammalian consciousness. The higher speed of information flows made possible by various phase transitions in biological structures allows biological life to achieve larger-scale resonant structures than would otherwise be possible – and thus larger macro-conscious entities than are achieved in non-living structures.  
 
 
 
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Appendix 1: Summary of the general resonance theory of consciousness
 
We address the following questions in this short summary: How do complex minds form? Why is the total greater than the sum of its parts when it comes to minds? What is the best approach for resolving the various combination problems?
 
What follows is a numbered summary of the general resonance theory of consciousness:
1. Resolving the hard problem and the combination problem should focus on energy/information flows and the causal structure that is part and parcel of such energy/information flows.
2. Energy/information flows are real physical structures that carry both causal impact and psyche/consciousness/mind.
3. Less complex processes have, by definition, less causal structure and thus less energy/information flows, and less consciousness.
4. Collections or aggregates of matter transcend the state of being “mere aggregates” (there is no combination of mind) when the constituents of such aggregates of matter are interconnected by resonating (coherent) energy/information flows.
5. All aggregates are interconnected in some manner with all other aggregates through normal physical forces, but it takes time for such connections to be made because of finite speeds for such causal connections to travel.
6. Constituents of aggregates that are in sufficient proximity for resonance-based energy/information flows to take place, within a certain timeframe, combine and transcend the state of being “mere aggregates.”
7. The required timeframe for energy/information flows to occur depends on the resonance frequency(ies) of the constituents and aggregates at issue.
8. Constituents that resonate at the same or similar frequencies in proximity will combine because their energy/information flows combine through coherence of their resonance frequencies, like lasers achieving coherence when photons resonate at the same frequency.
9. The speed of the particular energy/information flows, in each case, determines the size (how large is the combined entity?) of the particular combination of resonating constituents.
10. Living organisms have, through long-term evolutionary processes, learned to take advantage of faster energy/information flows, such as electrochemical channels and electrical and magnetic fields (and possibly quantum field effects also), thus allowing physically larger combinations to occur.
11. As such, a living human body weighing about the same as a large boulder has far greater energy/information flows among its constituents than does the boulder, which can rely only on thermodynamic and gravitational energy/information flows.
12. Accordingly, the sum of the human body’s combined consciousness is greater than its parts because of the much greater energy/information flows occurring throughout the human body, which constitute real physical structure; without these connections the human body would be a “mere aggregate” like the boulder. The sum total consciousness of the parts would be far lower without the extensive interconnections throughout the human body that are made possible by electrochemical and electromagnetic field energy/information flows.
[1] Corresponding author, tam.hunt@psych.ucsb.edu,
[2] Schooler prefers the term “easier,” viewing the combination problem as not easy, but easier than the “hard part” of the Hard Problem.
[3] Although sympathetic to the notion that fireflies are conscious and have intentions, Schooler finds Strogatz’s approach, described below, more convincing than positing that fireflies deliberately  synchronize their flashing.
[4] Chalmers 1996, p. 213. Chalmers makes these requirements more explicit in Chalmers 1997: “To have a fundamental theory that we can truly assess, we will need a fundamental theory with details. That is, we will need specific proposals about psychophysical laws, and specific proposals about how these laws combine, if necessary, so that ultimately we will be able to (1) take the physical facts about a given system, (2) apply the psychophysical theory to these facts, and thus (3) derive a precise characterization of the associated experiences that the theory predicts.” Chalmers 1997, re-printed in Shear, et al. 2000, p. 420.