Duke University

Consciousness and Quantum Mechanics

Christine O’Connell

Math in the Universe- 89S

Hubert Bray

25April 2016

Introduction to consciousness

The foundation of consciousness lies in foundation and perception. Thus, it gives us the ability to understand the world around us as well as interact and respond to it. Many people have thought that consciousness can be computable. Desiring to know whether or not computers have the capabilities to do everything that humans do, Roger Penrose, Emeritus Rouse Ball Professor of Mathematics at the Mathematical Institute of University of Oxford, studied consciousness. Computers function on the premises that every input has one output. If brain activity corresponds to this, it would mean that our intelligence could be easily coded into a robot. The argument that consciousness is a result of computer-like activities inside the brain involves the idea that high-frequency oscillations of neural circuits inside the thalamus and cerebral cortex produce consciousness. Furthermore, this argument suggests that billions of neurons inside the brain communicate with one another like bits and switches in a computer. However, while this theory explores the cause of consciousness, it fails to explain how this process creates thoughts and feelings, which is the fundamental differences between humans and computers. Computers can complete thousands of computations at a rapid pace, but only humans can understand how and why they are doing this.[i]

In order for consciousness to be a computable phenomenon, computers would be able to beat the Turing Test. This test involves three rooms: one room has a judge, another has a computer, and the other has a human. The judge has to decide which room the human is in while the computer tries to trick the judge into believing that it is a human. Computers would be proven to have the same intelligence as humans if the judge chose the computer as the human over 50% of the time. However, this has not yet happened. Withtoday’s technology, if consciousness is a computable function, then the Turing Test should have already been able to trick the judge.[ii]

Hypothesizing the relationship between quantum mechanics and consciousness

Realizing that consciousness cannot be computed, Roger Penrose hypothesized that quantum mechanics may be able to explain consciousness. Penrose believed that consciousness obeyed the laws of science. However, these laws are not fully understood by scientists because consciousness is needed in order to understand them. Quantum mechanics was proposed to help explain consciousness because it is the area that exposes gaps within the laws of physics. These gaps relate to Schrödinger’s equation and observed measurement.[iii] Schrödinger’s equation is a linear equation that describes how a wave function evolves overtime. It allows one to measure , which gives all possible positions of a particle (x,y,z) at time t. Furthermore, it does not give the exact location of the particle. The square of the absolute value of the wave function will give the probability that a particle will be found at location (x,y,z) at time t. This is conflict with measurement. When an object is measured, an object is only in one state instead of all possible states. It was proposed that particles exist in all states until they areobserved and the particle collapses to one state. However, Schrödinger realized that this fundamentally did not make sense. He came up with the thought experiment Schrödinger’s cat to prove it. If matter exists in all states until observed, then a cat in a sealed chamberwith hydrocyanic acid will be both dead and alive until the cat is seen by the conscious mind. Clearly, a cat cannot be both dead and alive, so Schrödinger’s cat showed the contradictions in quantum mechanics.[iv]

Critics of the relationship between quantum mechanics and consciousness

As suggested above, Roger Penrose predicted that the consciousness could help us understand the paradox within quantum mechanics. He argued that consciousness occurs in biological systems, which possess macroscopic quantum states, and thuscan be described by quantum mechanics. However, it was believed that quantum mechanics at the macroscopic level required isolated systems as well as conditions around zero degrees Kelvin. Einstein showed that at extremely low temperatures, bosonic atoms would combine into a shared quantum state of the lowest possible energy. Furthermore, when quantum computers are built in a laboratory, it is done at zero degrees Kelvin. As a result, many argued neurons inside of the brain are too wet and warm for quantum states.

Quantum superposition collapses to a single classical state during environmental decoherence. Environmental decoherence occurs when a system interacts with its environment, and the quantum state reduces to a random classical state based on a deterministic function: the wave function of the Universe. However, Penrose belived that consciousness is neither deterministic nor random.

Despite the fact that many criticized Penrose’s approach for being wrong because the brain did not seem to have the right environment to allow for quantum mechanics, Penrose continued studying quantum mechanics as the mechanism for consciousness. However, he modified his approach in order to avoid environmental decoherence.

Quantum superposition during consciousness

In order for consciousness to align with quantum mechanics, it must occur in isolated systems and avoid environmental decoherence. Penrose stated that quantum systems in isolated systems will also reduce. Like I stated above, quantum mechanics allows for quantum superposition in which a particle exists in all possible states at once, known as the superposition of states. Since general relativity states that matter curves space-time, quantum superposition (the displacement of mass) curves space-time in all directions, resulting in unstable ‘bubbles’. Theses bubbles are very unstable and instantaneously collapse. The figure below shows this phenomenon in a protein:[v]

When these quantum states collapse, they produce a proto-conscious moment. They are too small to produce consciousness on their own, but the organization of multiple collapses of quantum states produce consciousness. Penrose’s theory is known as orchestratedobjected reduction (Orch-OR). This is because the quantum states objectively or automatically reduces once “a critical objective degree of separation” of spacetime has been reached. In other words, there is a rate in which the superposition of a particle spontaneously becomes one state or another. This rate is related to the uncertainty principle:

Thus, this explains the paradox of quantum mechanics and why particles can exist in multiple states, but are measured in one.[vi]

Neurophysiology suggest that conscious OR events in the brain occur between 10 to 500 ms. Using this information and the uncertainty principle, it was discovered that consciousness occurs by a few nanograms of superposed mass.[v]

The biological mechanism for consciousness

Roger Penrose published his findings in his book The Emperor’s New Mind. However, he did not know where in the brain this could take place. As stated earlier consciousness needs to take place in an isolated environment with a mass of only a few nanograms. Additionally, the biological mechanism would have to be able to organize the proto-conscious moments to produce consciousness. Stuart Hameroff, an anesthesiologist and professor at the University of Arizona, read Penrose’s book, and he proposed that microtubules inside of neurons, which make up the skeleton structure of neurons as well as process information could be the answer.[iii]

Tubulin proteins makeup microtubules. Proteins are important because it has been proposed that they use quantum superposition (quibts) to determine their conformational states (bits). This superposition occurs due to the van der Waals interactions in hydrophobic pockets of tubulins. In order to understand the process of superoposition of proteins, quibts and bits must be understood. A bit is “the basical unit of information in computing and digital communications.” A bit can exist in the state of either 0 or 1. A light switch can be used to represent this idea. It can either be turned off, which is like state 0 or it can be turned on, which is like state 1. However, there is no in between. A quibt is different because it can exist in both in state 0 as well as state 1. If there are two quibts they can exist in four possible states ie. 00, 01, 10, and 11. The image below shows this process with three tubulin states:[vii]

The reduction of tubulins eventually leads to a conscious event. In order for this to happen, the tubulin must be in a coherent superposition such that “a critical objective degree of separation” has been met to allow for objective reduction. This event acts in isolation because during quantum superposition, actin gelatin and a condensed charge particle phase surrounds the microtubules. The process of consciousness is shown below:[v]

The time for a conscious event is dependent on the number of tubulins involved. It relates back to the equation E = h/T. For example, a 25ms processing time would require the involvement of 2X10 ^9 tubulins. Within each brain neuron, there are 10^7 tubulins, so thousands of neurons are required for each conscious event. Furthermore, not every tubulin inside of a neuron undergoes superposition to create the conscious event.[v]

Applications of consciousness

Objective reduction can be applied to cognitive functions. For example, it can occur with face recognition. During the preconscious processing, a person’s face will superimpose into many different possibilities of people. After the threshold for objective reduction has been reached, consciousness will occur such that the identity of a person can be recognized. Furthermore, objective reduction can be used in preconscious process of decision making. For example, if someone is deciding what to eat for dinner, all of the possibilities exist in a superimposed state, and at the moment of consciousness, it collapses to one choice.[v]

Anesthesia turns off consciousness. As mentioned earlier, quantum mechanics inside microtubules works due to the van der Waals interactions in hydrophobic pockets of the tubulins. Anesthetics bind also bind to these hydrophobic pockets through van der Waals forces. Scientists Franks and Lieb suggested that their presence prevents conformational switching of the proteins, and thus prevents consciousness. However, it is currently believed that anesthetics prevents electron mobility due their attractions to the hydrophobic pockets, and since quantum mechanics requires electron mobility, the process that allows for consciousness cannot occur.[vi]

Origins of consciousness

Penrose and Hameroff have used objective OR to explain how consciousness arises. However, it does not explain subjective experiences such as feelings. This can be discussed by looking at the origins of consciousness. Today there are three basic theories about the origin of consciousness. Up until now, theory number one has been most widely accepted. This theory states that consciousness is an evolutionary process that eventually allowed for complex computational processes among neurons inside of the brain which resulted in awareness. Furthermore, it is in conjunction with epiphenomenalism, which involves the principle that consciousness is the response to physical processes inside of the body. For example, if someone’s heart is beating fast, a person’s consciousness interprets this as fear. However, the problem with this principle is that consciousness plays an insignificant role because it occurs too late. The second theory about consciousness involves the idea that consciousness is separate from the physical world. This theory allows for a God who has created consciousness. Since it does not involve science, and nobody can know the capabilities of God, this theory has not been studied as much as the others. Finally, the third theory of consciousness revolves around the idea that consciousness has always existed in the universe, and that evolution has occurred such that there can be a connection with the conscious of the universe.[viii]

Whitehead was a philosopher who agreed with the idea that consciousness has always existed in the universe. He stated that feelings occur due to receptions of protoconcious experiences in the universe.[ix] Penrose tried to understand how the universe can contain protoconcious experiences. He proposed a spin network in order to describe the geometry of space. These spin networks contain all of the information in the universe, and they encode patterns onto microtubules. Therefore, the structures in the brain are influenced by the geometry of space.[x] The structure of spin-networks is shown below: [v]

Validation of Orch-Or mechanism

Quantum mechanics has been found in nature. Biological systems use quantum mechanics in order to undergo photosynthesis. Light strikes the surface of leaves, and the plants absorb the red photons from the light. During photosynthesis, photon have to travel through the plant in order to reach the reaction center where the photon is converted into stored energy. This electron experiences quantum superposition because this photon has to enter reaction center very quickly before the structures inside of the leaf absorb the energy of the photon. Quantum superposition allows the photon to be in multiple states such that it can find the pathway to travel to the reaction center the fastest.[xi] Furthermore, evidence suggests that some birds including the European Robin use quantum mechanics in order to fly south. When light hits the retina of the bird, the energy splits the electrons apart, but the two electrons remain correlated to each other through quantum entanglement. Depending on the orientation of the bird with respect to the magnetic field of the earth, the electrons can recombine into their molecular orbital. This sends a signal to the bird’s brain, which lets the bird know that way is south.[xii] These two uses of quantum mechanics provide further evidence that our brains incorporate quantum mechanics. It confirms the idea that quantum mechanics can occur in warmer environments than zero degrees Kelvin. Furthermore, it suggests that birds can see the quantum mechanics in nature. In 2009, experiments inside the brain further confirmed that Orch-OR is the most likely mechanism for consciousness. Nanoprobes were put inside of active neurons, and quantum resonances were measured in microtubules within neurons.

In conclusion, quantum mechanics has allowed for the most successful explanation on consciousness in the mind. Originally there was a lot of speculation because neurons were considered to moist and hot to allow for quantum mechanics. However, further testing has been done to suggest that microtubules can indeed act as quantum computers. They house the proteins that undergo superposition in order to form a conscious moment. While proto conscious moments occur all around the universe, humans’ consciousness derives from the ability to organize these moments.

[i]2045ru. "Sir Roger Penrose - The Quantum Nature of Consciousness."YouTube. YouTube, 04 Mar. 2013. Web. 23 Apr. 2016.

[ii]"Artificial Intelligence | The Turing Test." Web. 20 Apr. 2016.

[iii]Elsevierpublishing. "Interview with Nobel Prize Candidate Sir Roger Penrose and Stuart Hameroff."YouTube. YouTube, 19 Feb. 2014. Web. 20 Apr. 2016.

[iv]"Schrödinger's Equation - What Is It?"Plus.maths.org. Web. 24 Apr. 2016.

[v]Hameroff, Suart.Quantum Computation in Brain Microtubules.The Royal Society, 6 Mar. 2015. Web. 24 Apr. 2016.

[vi]"Uncertainty Principle." Web. 22 Apr. 2016. <

[v]
priliousness and Quantum Mechanicsher vironmental decoherence. wever, he modified his approach such that it avoides d studying

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[vii]"What Is Quantum Computing? - Definition from WhatIs.com."WhatIs.com.
priliousness and Quantum Mechanicsher vironmental decoherence. wever, he modified his approach such that it avoides d studying Web. 24 Apr. 2016.

[v]

[v]

[v]

[vi]

viHameroff, Stuart. "Anesthesia, Consciousness and Hydrophobic Pockets—a Unitary Quantum Hypothesis of Anesthetic Action."Toxicology Letters100-101 (1998): 31-39. Web. 23 Apr. 2016.

[viii]Hameroff, Stuart, and Roger Penrose. "Consciousness in the Universe: A Review of the ‘Orch OR’ Theory."ScienceDirect. Web. 24 Apr. 2016.

[ix]"Philosophy of Consciousness."Planetary Philosophy. Web. 22 Apr. 2016.

[x] "Quantum Consciousness ORCH-OR."YouTube. YouTube, 20 June 2015. Web. 23 Apr. 2016.

[v]

[xi]The Magical Leaf: The Quantum Mechanics of Photosynthesis. Youtube, 7 Apr. 2015. Web. 23 Apr. 2016.

[xii]UNSWelearning. "Entanglement: The Quantum Around You. Ep 2."YouTube. YouTube, 26 Aug. 2014. Web. 24 Apr. 2016.