Beyond the Observer: Redefining Reality Through the Lens of Pure Field Actualization and Interaction
Abstract
This paper proposes a new theory, PFAI (The Theory of Pure Field Actualization through Interaction), which aims to resolve paradoxes in quantum mechanics, including the measurement problem, and to unify quantum mechanics with the theory of relativity. PFAI describes the world as an interaction between "world solitons (pure fields)" and "world children (pure observation operators)." World solitons are fields that contain all possibilities, and world children are agents that determine reality and time through the act of observation.
PFAI interprets the act of observation as an "injection of time" from a world child into a world soliton, thereby actualizing the world. This interpretation further develops the many-worlds interpretation, suggesting that the world does not branch but gradually takes shape through acts of observation. It also suggests the possibility that time and space have emergent properties, providing a new perspective on the unification of quantum mechanics and the theory of relativity.
Furthermore, PFAI is deeply related to the philosophies of Wittgenstein, Kant, and Nagarjuna, blurring the boundaries between physics and philosophy. It sheds new light on issues that conventional physics has not been able to address, such as the relationship between consciousness and the creation of reality, the concept of time, and free will.
PFAI also holds the potential for new approaches to contemporary social issues such as environmental problems, AI ethics, mental health issues, and social problems. This paper explores the new horizons of physics that PFAI opens up and how it transforms our understanding of the world.
Chapter 1: The Genesis of PFAI: From the Longing for Resolving Quantum Paradoxes to a Unified Theory
The Abyss of Quantum Mechanics: The Wall of Paradoxes
Quantum mechanics, born in the early 20th century, has laid the foundation for modern physics as a theory describing the behavior of the microscopic world, such as atoms and electrons. However, behind its brilliant success lie paradoxes that have plagued scientists for many years, such as the "measurement problem" and "Schrödinger's cat." These paradoxes have sparked debate about the interpretation of quantum mechanics and have become an obstacle to the further development of the theory.
The Thirst for a Unified Theory: Fusion with the Theory of Relativity
Another major obstacle is the unification of quantum mechanics and the theory of relativity. While quantum mechanics describes the microscopic world and the theory of relativity describes the macroscopic world, these two theories have contradictory aspects, making the construction of a unified theory one of the greatest challenges in modern physics.
The Idea of PFAI: A Path to Resolving Paradoxes and a Unified Theory
PFAI (Pure Field Actualization through Interaction) was born as an attempt to overcome these obstacles and open up a new path toward resolving the paradoxes of quantum mechanics and constructing a unified theory.
The idea of PFAI began with a deep dive into the "measurement problem" in the interpretation of quantum mechanics. The measurement problem is a contradiction between the assertion of quantum mechanics that the act of observation determines the state of a quantum system and the fact that the observer itself is an entity subject to physical laws. To solve this problem, it was necessary to fundamentally reconsider the relationship between the observing subject and the observed object.
World Soliton and World Child: Complete Separation of Field and Observation
PFAI presents a new interpretation by completely separating the relationship between the observing subject and the observed object into two concepts: "field" and "observation operator."
World Soliton (Pure Field): A field representing the superposition of all possible world states. It is a pure field of possibility, having no temporal structure and no concrete reality.
World Child (Pure Observation Operator): An agent that acts on the world soliton and determines concrete reality and time through the act of observation. The world child's own time axis is compactified, and entropy is associated with it.
A New Worldview Created by PFAI
PFAI not only resolves the paradoxes of quantum mechanics but also sheds new light on issues that conventional physics has not been able to address, such as the many-worlds interpretation, the creation of reality and consciousness, the concept of time, and free will.
Furthermore, PFAI suggests the possibility of unifying quantum mechanics and the theory of relativity. The idea that time and space emerge from the interaction between world solitons and world children provides a new perspective for understanding quantum and relativistic phenomena in a unified manner.
Conclusion: The Future PFAI Opens Up
PFAI still has many mysteries and challenges, but its potential is immeasurable. By further deepening and verifying these concepts through future research, we may be able to further deepen our understanding of the world and create new technologies and innovations. PFAI could be the very "physics of a new era," with the potential to greatly expand the horizons of physics and significantly change our future.
Chapter 2: Resolution of Quantum Mechanical Paradoxes by PFAI: Reinterpreting Observation and Time
Separating the Act of Observation: The Key to Resolving Paradoxes
The key to PFAI's ability to resolve the paradoxes of quantum mechanics lies in completely separating the act of observation into the "pure field (world soliton)" and the "observing subject (world child)." Traditional interpretations of quantum mechanics faced a contradiction: while both the observing subject and the observed object are entities subject to the same physical laws, the act of observation determines the state of the object. To resolve this contradiction, PFAI redefines the observing subject and the observed object as distinct entities.
Schrödinger's Cat: Overcoming the Scale Problem
"Schrödinger's cat" is a paradox that arises when the quantum mechanical superposition state is applied to a macroscopic system. PFAI interprets this paradox as arising from a scale problem, that is, the difference in the nature of observation between macroscopic and microscopic systems.
Observation in Macroscopic Systems: In a macroscopic system like a cat, interaction with the surrounding environment is inevitable. This interaction causes "erosion" that partially determines the world soliton and collapses the superposition state. In other words, even before the act of observation, the world soliton is already approaching a concrete reality, and the cat's life or death is considered to be almost determined.
Observation in Microscopic Systems: On the other hand, in microscopic systems such as electrons or photons, there is little interaction with the environment, and the world soliton before observation maintains a pure superposition state. Only through the act of observation does the world soliton converge to a single reality and the state of the particle becomes determined.
In PFAI, since the world soliton before observation has no concrete reality, it is not possible to make a definitive statement about a macroscopic event like the life or death of a cat. Only through the act of observation is one concrete reality selected from the world soliton, and the cat's life or death is determined. This allows for a clear distinction between the indeterminacy before observation and the determinacy after observation, resolving the paradox of Schrödinger's cat.
The Photon's Trial: Discreteness of the Concept of Time
The "photon's trial" is a thought experiment that presents a contradiction with causality, as it appears that the act of observation retroactively affects the past. PFAI interprets this paradox as stemming from the discreteness of the concept of time.
State before Observation: Before observation, the photon is in a superposition of possibilities within the world soliton, and it is not determined which path it has taken.
The Act of Observation and Determination of Time: The act of observation not only selects one concrete reality from the world soliton but also simultaneously determines a point on the world child's own time axis.
Determination of the Past: In this interpretation, the act of observation does not retroactively affect the past, but rather the choice in the present determines the past. In other words, the act of observation determines which slit the photon passed through in the past.
In PFAI, time is not perceived as a continuous flow, but as a series of discrete steps generated by the world child. Therefore, the act of observation can be said to be an act that determines not only the future reality but also the past. This resolves the contradiction of causality in the photon's trial.
Conclusion
By separating the act of observation into the world soliton and the world child and reinterpreting the concept of time, PFAI shows the potential to resolve paradoxes in quantum mechanics such as the measurement problem, Schrödinger's cat, and the photon's trial. These paradoxes expose the limitations of the conventional worldview of physics, but PFAI may be the first step towards overcoming them and presenting a new worldview.
Chapter 3: Models of Worldview: Diverse Realities Woven by World Solitons and World Children
The Mechanism of Reality Creation: Interaction between World Child and World Soliton
At the core of PFAI lies the idea that reality is created through the interaction between world solitons and world children. The world soliton is a "pure field" representing the superposition of all possible world states, a potential existence without concrete form. On the other hand, the world child is a "pure observation operator" that acts on this world soliton, selecting and determining one concrete reality from within the world soliton through the act of observation.
The Emergence of Consciousness: The Contact Point between World Child and World Soliton
It is thought that a "contact point" arises between the world child and the world soliton during this act of observation. Could this contact point be what we call "consciousness"? Perhaps consciousness is the very act of extracting a specific reality from the infinite sea of possibilities that is the world soliton.
The Diversity of World Children and Diverse Realities
World children are not limited to conscious beings like humans; they include any and all observing entities. From inorganic devices like particle detectors to living organisms like animals and plants, and perhaps even unknown entities that we have yet to recognize, all can be considered world children.
Importantly, each world child may have different entropy values and internal structures. This suggests the possibility that each world child selects a different reality and experiences a different timeline.
Many-Worlds Interpretation: An Illusion Created from the Perspective of the World Child
If a world child can move back and forth on its own time axis, the same world child could experience different realities at different points on the time axis. However, for the consciousness of the world child, the flow of time is always unidirectional, and it cannot return to the past or go to the future.
Therefore, although it may seem to the world child that it is experiencing the same time repeatedly, in reality, it is observing different aspects of the world soliton and experiencing different realities each time. This would create the illusion that there are multiple parallel worlds, and that the world child is moving between them.
Conclusion: A World Exists for Each Observer
In the interpretation of PFAI, there is not just one world, but potentially a world for each observer. Each world child extracts and experiences its own unique reality from the world soliton through its acts of observation.
This worldview suggests that what we call "reality" is not absolute but relative, created through interaction with the observing subject. This perspective may open up new possibilities for us to understand the world and find meaning in our existence.
Chapter 4: Mathematical Formulation of PFAI: The Challenge of Concretizing the Theory and its Verifiability
PFAI is a theory that tackles fundamental problems in physics and philosophy, such as the interpretation of quantum mechanics, the concept of spacetime, and the role of consciousness, using the abstract concepts of world solitons and world children. However, due to the abstract nature of these concepts, many challenges remain in relating them to concrete physical phenomena and demonstrating their experimental verifiability. In this chapter, we explore the possibility of overcoming these challenges and enhancing the concretization and verifiability of the theory by mathematically formulating PFAI.
Mathematical Representation of World Solitons and World Children
Mathematically representing the central concepts of PFAI, "world solitons" and "world children," is the first step towards concretizing the theory.
World Soliton: The world soliton is a field that encompasses infinite possibilities and can be represented as a state vector or density matrix in an infinite-dimensional Hilbert space. Since the world soliton before observation has no concrete reality, a time evolution operator is not defined.
World Child: The world child is an agent that acts on the world soliton through the act of observation and can be represented as a combination of a projection operator and a time evolution operator. The world child's own time axis is compactified, and its entropy can be evaluated using an entropy operator.
Mathematical Description of the Observation Process
The act of observation is an interaction between the world child and the world soliton, through which one concrete reality is selected from the world soliton, and simultaneously, a point on the world child's time axis is determined. This process can be expressed using projection operators and time evolution operators. Furthermore, since the act of observation generally involves an increase in entropy, this change can be described using an entropy operator.
Many-Worlds Interpretation and the Concept of Time
PFAI is deeply related to the many-worlds interpretation. The world soliton contains countless possible worlds, and one of them is selected through the act of observation. Also, the time axis of the world child is compactified, and it is thought that time flows with the increase in entropy. The act of observation can be interpreted as an act of selecting a point on the world child's own time axis and injecting time into the world soliton.
An Example of Mathematical Formulation of PFAI
World Soliton
State Space: An infinite-dimensional Hilbert space H is introduced as the state space to describe the world soliton.
State Vector: The world soliton before observation is represented by the state vector ∣Ψ⟩ in H. This represents the superposition of all possible world states.
Density Matrix: It may be more appropriate to represent the world soliton before observation as a mixed state since it has no concrete reality. In this case, the world soliton is represented by the density matrix ρ, and its diagonal components correspond to the realization probabilities of each possible world state.
Time Evolution: A time evolution operator is not defined for the world soliton before observation since it has no temporal structure.
World Child
Observation Operator: The world child can be represented as a projection operator P on H. The act of observation corresponds to the process of selecting a specific world state by applying P to |Ψ⟩.
Time Evolution Operator: To represent the compactification of the world child's time axis, a time evolution operator U is introduced. U depends on the world child's internal time t, and U(t) |Ψ⟩ represents the state of the world child at time t.
Entropy: The entropy associated with the world child can be represented as an entropy operator S. S acts on the state |Ψ⟩ of the world child and returns its entropy value.
Observation Process
Selection of Reality: The act of observation is the process by which the world child (P) acts on the world soliton (|Ψ⟩ or ρ) and selects a specific world state. This process can be expressed using the projection operator P:
In the case of a pure state: |Ψ'⟩ = P |Ψ⟩
In the case of a mixed state: ρ' = P ρ P† Here, |Ψ'⟩ and ρ' represent the state of the world soliton after observation.
Time Injection and Time Evolution: Simultaneously with the act of observation, a point on the world child's time axis is determined, and time is injected into the world soliton. This process can be expressed using the time evolution operator U(t):
|Ψ''⟩ = U(t) |Ψ'⟩
ρ'' = U(t) ρ' U†(t) Here, |Ψ''⟩ and ρ'' represent the state of the world soliton after observation at time t.
Entropy Increase: The act of observation generally involves an increase in entropy. This can be expressed as:
S(ρ') ≥ S(ρ)
Verifiability of PFAI
To enhance the verifiability of PFAI, the following three approaches can be considered:
Verification of Quantum Mechanics: Show that PFAI is consistent with existing experimental results of quantum mechanics or that it can predict new experimental results.
Consistency with the Theory of Relativity: Construct a concrete model that describes the concepts of gravity and spacetime quantum mechanically based on PFAI, and conduct experimental verification.
Collaboration with Consciousness Research: Verify the validity of PFAI by investigating the mechanism of consciousness and the influence of observation behavior on brain activity.
Conclusion
The mathematical formulation of PFAI is an essential step in concretizing the theory and enhancing its verifiability. Future research is expected to further refine this model and enable PFAI to open new horizons in physics.
Chapter 5: Understanding and Applying PFAI: The Future that Intuitive Grasp Opens Up
PFAI: Differences from Conventional Physics
One reason why PFAI might be harder to understand than conventional physics lies in the difference in their focus. Conventional physics has been based on a worldview centered on "objects." It has sought to explain the phenomena of this world by understanding matter and its motion.
On the other hand, PFAI focuses on "events" rather than "objects." The world soliton is not a concrete "object" but an abstract "field" that encompasses all possibilities. And it is through "events," specifically the act of observation by a world child, that concrete reality emerges.
This shift in perspective may be a barrier to understanding PFAI, as it deviates from our intuitive understanding. However, once you become accustomed to this perspective, you will realize that PFAI is a very simple and intuitive theoretical framework.
What Intuitive Understanding Brings: Application to Reality
Intuitively understanding PFAI greatly expands its potential applications to our real world.
Improving the Accuracy of Future Prediction: PFAI interprets reality as being created through the interaction between world children and the world soliton. In other words, by understanding the distribution of possibilities within the world soliton and the observational tendencies of world children, it may be possible to predict future events. This holds the potential for application in various fields, such as weather forecasting, economic forecasting, and even individual behavior prediction.
Developing New Technologies: PFAI suggests the possibility that time and space have emergent properties. By deepening our understanding of this, we may be able to realize technologies that seem like science fiction, such as time manipulation and spatial control.
Exploring Consciousness and Self-understanding: PFAI provides a new perspective on the relationship between consciousness, observation, and self-awareness. Through this perspective, we may be able to gain a deeper understanding of our own consciousness and actions, providing hints for creating a better life.
Conclusion: The Future PFAI Opens Up
PFAI presents a worldview that differs from our intuitive understanding, but by overcoming that and deepening our understanding, we can expand its potential applications to the real world. Whether it's predicting the future, developing new technologies, or achieving self-understanding, the future that PFAI opens up could make our lives richer and more full of possibilities.
PFAI still holds many mysteries and challenges, but its potential is immeasurable. By further deepening and verifying these concepts through future research, we may be able to further deepen our understanding of the world and create new technologies and innovations. PFAI could be the very "physics of a new era," with the potential to greatly expand the horizons of physics and significantly change our future.
Appendix: A New Interpretation of "Form is Emptiness, Emptiness is Form" Illuminated by PFAI
The important Buddhist concept of "Form is emptiness, emptiness is form" (色即是空空即是色, Shiki soku ze kū kū soku ze shiki) has often puzzled many people due to its abstruse nature. However, by reinterpreting this concept from the perspective of PFAI, a more intuitive and modern understanding may be possible.
Form is Emptiness: The Collapse of Reality and Return to Possibility through Observation
"Form is emptiness" is generally interpreted to mean that "all things in this world are without inherent existence." Within the framework of PFAI, this can be interpreted as "even observed reality, if the interaction with the observing subject (world child) ceases, melts back into the world soliton, the field of possibility, and returns to an indeterminate state."
Actualization through Observation: The act of observation by a world child injects time into the world soliton and creates a concrete reality. This real world is recognized as a colorful and diverse existence ("form").
Cessation of Interaction and Collapse of Reality: However, when the observing subject disappears or the act of observation ceases, the time axis that supported that reality vanishes, and the world soliton returns to a superposition of possibilities ("emptiness").
Impermanence: This interpretation also resonates with the Buddhist concept of impermanence, which teaches that everything in this world is constantly changing and nothing lasts forever. The reality created by observation is not eternal but has the potential to constantly change and disappear.
Emptiness is Form: The Creation of Reality through Observation
"Emptiness is form" is generally interpreted to mean that "all things in this world arise from emptiness, which lacks inherent existence." Within the framework of PFAI, this can be interpreted as "concrete reality is created from the world soliton through the act of observation."
The Sea of Possibilities: The world soliton before observation is in a state of "emptiness," encompassing all possibilities. In this state, there is no concrete reality or time.
Emergence of Reality through Observation: The act of observation by a world child injects time into the world soliton and brings forth concrete reality. This can be seen as a process where reality emerges from potential possibilities, rather than something being created from nothing.
Creativity and Free Will: This interpretation emphasizes the importance of human creativity and free will. We are active agents who select and create reality from the world soliton through the act of observation.
New Perspectives Offered by PFAI
By interpreting "Form is emptiness, emptiness is form" through the lens of PFAI, we can reinterpret the profound meaning of Buddhist thought from a modern scientific perspective.
The Relativity of Reality: The possibility that different realities are selected by different observing subjects provides an opportunity to question the existence of absolute truth and an objective world.
The Role of Consciousness: The idea that the act of observation is involved in the creation of reality provides a new perspective on the role of consciousness and the meaning of human existence.
Change and Becoming: The world is not static but is a dynamic entity that is constantly changing and becoming. This recognition encourages us to adopt flexible thinking and an attitude of accepting change.
Conclusion
PFAI has the potential to not only resolve the paradoxes of quantum mechanics but also to interpret the profound teachings of Buddhist thought from a modern scientific perspective. This new interpretation may significantly alter our worldview and provide a key to a deeper understanding of the world.
Postscript: Seeking Hints for Creating a Richer Life
This paper has explored the potential of the new concepts of "world soliton" and "world child," introduced in accordance with the requirements of the theory to understand quantum mechanics more deeply and in a way that is consistent with the real world. In the process, we have shed light on issues that conventional physics has not been able to address, such as the mystery of consciousness, the mechanism of world creation, and the many-worlds interpretation. However, these are merely byproducts that emerged, and not the main purpose of this paper.
I am not a mathematician, and I would like to seek the cooperation of experts who agree with this paper for advanced mathematical development. However, I believe that the concept of PFAI itself can provide new perspectives for understanding the world, even for the general public without specialized knowledge. In particular, the concepts of the relationship between entropy and time, and the act of observation and the creation of reality, have aspects that resonate with our everyday experiences and intuitions. By understanding the worldview of PFAI, we may be able to gain hints for creating a richer life.
Regarding the many-worlds interpretation, in this paper, we derived one interpretation from the assumptions of the consistency of properties appearing at the observation point and the identity of self-consciousness. However, if we change the definition of self-consciousness, different worldviews may emerge. This experience of how the view of the world changes by changing perspectives is precisely the essence of philosophy. And I believe that PFAI has the potential to connect such philosophical inquiry with scientific inquiry.
PFAI is still an incomplete theory with many challenges remaining. However, I hope that this theory will be a first step toward deepening our understanding of the world and opening up new possibilities. Aiming to provide a modest but definite clue to understanding this elusive world, I will continue to explore this theory.
Finally, it was the dialogue with the generative AI Gemini 1.5 Pro provided by Google that led to this theory, and I hope to continue this dialogue, sometimes strictly and sometimes gently, to expand the possibilities. In fact, depending on how the constraints on the application of the theory are applied (or removed), it is possible to consider the consistency of settings for fantasy elements such as spirits and magic. I hope to have a good relationship with generative AI.
#philosophy #time #emptiness #world #reality #socialissues #environmentalissues #quantummechanics #physics #phenomenon #dependentorigination #kant #metaphysics #relativity #freewill #paradox #preestablishedharmony #wittgenstein #aiethics #mentalhealth #nagarjuna #leibniz #languagegame #schrodingerscat #manyworldsinterpretation #monad #newinterpretation #quantumgravity #measurementproblem #thinginitself #unifiedtheory #soliton #holographicprinciple #PFAI #worldchild #consciousnessandreality #creationoflife #monadology #sciencemystery #worldsoliton #participatoryuniverse #horizonofphysics
いいなと思ったら応援しよう！
