Over the decades, information technology has developed based on binary, dual information systems—frameworks that rely on simple yes-no decisions, represented by the states 0 and 1. This approach has allowed us to build highly complex systems and computer architectures. However, in a world increasingly characterized by complex and multifaceted challenges, we must question whether this binary paradigm is still sufficient.

Dual information is excellent for modeling logical processes and simple decision trees. However, when addressing deeper questions—such as modeling human emotions, interpreting dreams, or understanding the significance of decisions within a broader emotional context—we reach the limits of what binary logic can represent.

Complex numbers, which include both a real and an imaginary part, offer a natural extension of dual information. While the real part can continue to model binary logic, the imaginary part allows the representation of additional dimensions and relationships that cannot be captured by classical information theory.

Complex numbers open the door to developing a new form of information—referred to as “polymeric information.” This form of information could be used to create multidimensional information systems that integrate both rational logic and emotional, intuitive, and unconscious processes.

One example is the dream world of humans. Dreams are a window into the deep layers of our consciousness, often shaped by emotional experiences, unresolved conflicts, and creative processes. Technology based on complex numbers could potentially better capture and interpret the structure of these dreams by processing both the “rational” and “emotional” information simultaneously.

In a world where decisions often have both logical and emotional consequences, using complex numbers provides the opportunity to integrate these dual aspects. Polymeric information could represent the emotional significance of decisions, considering not only the rational but also the emotional and intuitive dimensions of decision-making.

Art has always possessed the ability to open new perspectives and transcend existing structures. This is particularly important when making decisions in the reality of quantum physics. Over the past 100 years, quantum physics has made tremendous progress, but it remains trapped in old ways of thinking.

New perspectives, like those offered by art, are essential to overcoming these structural limitations. Art can help us grasp the multidimensional aspects of quantum reality and translate them into a language that is not only rational but also intuitive and emotionally understandable. By integrating these creative and artistic approaches, we can achieve a deeper understanding of the quantum world and make more informed decisions.

The introduction of complex numbers into knowledge technology could be the first step towards a more comprehensive understanding of information and knowledge—one that incorporates the rational, emotional, intuitive, and creative dimensions of human existence. Art, as an equal partner to science, can offer us new perspectives and methods to better understand the challenges of quantum physics and other complex systems. This would be a critical step in transcending the limitations of current information technology and opening new horizons for human experience and understanding of the world.

In modern science and technology, information processing is traditionally governed by binary systems and real numbers. This dual information processing has led to significant advancements in computing, communication, and data analysis. However, given the increasing complexity of scientific questions and the data involved, the question arises whether a focus on dual information is still sufficient.

Nature and many scientific phenomena are inherently complex and multidimensional. Phenomena such as quantum mechanics, nonlinear systems, and chaotic processes require a mathematical description that goes beyond what real numbers can provide. Complex numbers, which include both a real and an imaginary part, offer an expanded mathematical foundation to describe such phenomena.

For example, quantum mechanics is inconceivable without the use of complex numbers. The wave function, which describes the state of a quantum system, is a complex function that includes both amplitude and phase. These complex states allow for a more precise description of reality, especially in areas where ambiguity and superposition are at play.

The use of complex numbers in information processing opens up new possibilities that exceed the capacities of binary systems. In a dual system, information is stored and processed in a one-dimensional structure. Complex numbers, however, allow for multidimensional information representation, enabling richer and more detailed analysis.

This multidimensionality is particularly relevant in data processing, signal processing, and machine learning. By using complex numbers, we can represent information in a way that considers not only the intensity but also the direction and phase of signals. This leads to better capture and interpretation of complex patterns and relationships.

The ability to process complex information is not only important for the physical sciences but also for modeling cognitive processes and human emotions. Emotions and thoughts are often multilayered and contradictory, making a simple binary representation inadequate.

Using complex numbers in modeling could help better capture the nonlinear, multidimensional relationships that constitute human emotions and decision-making processes. This could lead to advances in fields such as artificial intelligence and neuroscience, enabling the development of machines that simulate human thinking and feeling on a deeper level.

Another area where complex information processing is essential is quantum information theory. Quantum computers use qubits, which, unlike classical bits, can assume not only the states 0 and 1 but also any superposition of these states. These superpositions are represented by complex numbers, enabling an enormous concentration of computational power in a compact space.

Thus, complex numbers are not just a tool but a necessity for the development and application of quantum computers, which have the potential to solve problems that are unsolvable for classical computers.

The growing complexity of challenges faced by science and technology requires new approaches to information processing. By expanding the use of complex numbers in information technology, we lay the groundwork for the development of new methods and systems that can meet the demands of the future.

Integrating complex information processing into existing and future technologies could not only improve scientific accuracy and efficiency but also open new horizons in the exploration of human consciousness, quantum mechanics, and other highly complex systems.

Complex information processing in everyday life could elevate understanding and decision-making to a deeper and more nuanced level. This approach would not only consider the rational and objective aspects of a decision but also the emotional, intuitive, and multidimensional factors often overlooked in traditional, dual information processing.

• Emotional Intelligence: In complex information processing, decisions would not rely solely on logical conclusions but also on emotional and intuitive aspects. For instance, when choosing a job, a person might weigh not only salary and working conditions (rational factors) but also their emotional connection to the company, cultural fit, and long-term well-being (intuitive and emotional factors).
• Holistic Thinking: Complex information accounts for the interdependencies between different decisions. A decision in one area of life could impact other areas. For example, the choice to move to a particular city could affect not only the commute (rational factor) but also social networks, quality of life, and personal fulfillment (multidimensional factors).

• Integration of Contradictions: In complex information processing, people could better handle contradictory information. Instead of simplifying decisions by ignoring one aspect in favor of another, they could learn to incorporate both sides into a broader, more holistic decision. For example, someone planning an event might consider both the logistical practicality and the emotional needs of the guests, rather than viewing them as separate factors.
• Continuous Adjustment: Since complex information is dynamic and often non-linear, decisions would become more flexible and adaptable. Instead of viewing decisions as final, people could learn to regularly review and adjust their choices based on new information and changing circumstances.

• Managing Uncertainty: Complex information processing acknowledges the uncertainties and ambiguities inherent in decisions. Instead of seeking clear, definitive answers, people might learn to live with uncertainty and incorporate it into the decision-making process. This could involve thinking through scenarios where various outcomes are possible and preparing for them rather than relying on a single correct answer.
• Deep Reflection: Complex information processing encourages deeper reflection and self-awareness. People might tend to question their assumptions and biases, recognizing that their perception and decision-making are influenced by a variety of factors beyond the obvious.

• Improved Decision Quality: Decisions based on complex information processing could be of higher quality, as they consider more aspects and dimensions. This could lead to more informed and sustainable decisions that yield better long-term results.
• More Empathetic Decisions: By integrating emotions and intuitive insights, decisions could become more empathetic. People might become more aware of the impact of their choices on others and more inclined to include this awareness in their deliberations, leading to more socially responsible and compassionate decision-making.
• Better Adaptability: Decisions made within a complex framework are more flexible and adaptable to change. This could help people better cope with uncertainties and unforeseen events, as they are accustomed to continually revisiting and adjusting their decisions.
• Creativity and Innovation: Complex information processing can foster creativity and innovation by incorporating non-linear, unconventional connections and perspectives. This could lead to people finding more creative solutions to problems and developing new approaches that might be overlooked in a binary, linear thinking framework

For years, the integration of art within digital media has been stagnant, with little progress in exploring how art can evolve alongside advancing technology. However, the introduction of complex numbers into information processing offers a fresh perspective and a significant shift in how we understand and value art in the digital age.

The integration of complex numbers not only advances scientific understanding and enhances everyday decision-making but also revitalizes the role of art. By embracing complex information, we unlock new perspectives, enabling art to thrive in a multidimensional space where every aspect of human experience can be explored and celebrated. This approach also preserves the potential for human creativity in the imaginary realm, allowing our utopian visions to endure just a little longer.

As a symbol of this new information paradigm, we wear shirts emblazoned with the square root of minus one, representing our commitment to these complex concepts and the ongoing evolution of creativity and knowledge.

In this new paradigm, art and digital media transcend their traditional roles as mere tools of expression. They become profound platforms for understanding the intricate complexities of our world.

Polymeric information expands beyond traditional dual (binary) information by incorporating complex numbers, enabling a multidimensional understanding of information. The metrics we've discussed are key to understanding how polymeric information operates and is measured.

• Definition: This is the traditional binary or real-number-based information used in classical computing and information theory.
• Application: Dual information serves as the foundation for traditional data processing but is limited to binary outcomes or linear processes.

• Definition: Polymeric information incorporates both real and imaginary components, allowing for a richer and more nuanced representation of data.
• Mathematical Representation: This type of information can be represented as complex numbers (e.g., z=a+bi, where i is the square root of -1).
• Application: It enables the modeling of systems where variables have both magnitude and phase, such as in quantum mechanics, emotional modeling, and creative processes.

• Explanation: The transition from dual to polymeric information is analogous to moving from a flat, linear perspective to a more multidimensional one. This transition allows for the integration of complex states, superpositions, and interactions that are not possible in a purely dual system.
• Mathematical Transformation: Complex numbers can represent transitions between states in quantum systems or changes in cognitive or emotional states in modeling scenarios.

• Complexity of Emotions: Emotions and perceptions often involve non-linear, multidimensional processes that can be more accurately modeled using polymeric information.
• Mathematical Representation: Emotions can be seen as complex numbers where different components represent various emotional intensities or dimensions.
• Application: This allows for a deeper understanding and representation of emotional states and how they influence decision-making, creativity, and perception.

• Integration of Art in Research: Art plays a crucial role in exploring and representing complex information structures. The creative process often involves navigating and interpreting complex, multidimensional information, making it an essential partner to scientific exploration.
• Application: By using complex numbers and polymeric information in art, artists can create works that explore the ambiguity, depth, and multidimensionality inherent in human experience, pushing the boundaries of both artistic and scientific understanding.

What it all means: Be impulsive, have fun