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Emergent-quantum-gravity

My crazy theory very draft

Emergent Spacetime and Mass from Quantum Wave Collapses

Abstract

This whitepaper presents a novel cosmological theory proposing that spacetime and mass emerge from the density and dynamics of quantum wave collapses within a quantum network. Guided by the holographic principle and informed by Stephen Wolfram's work on computational universe, this theory suggests that the frequency and interactions of quantum wave collapses dictate the properties of mass and spacetime, offering a new explanation for phenomena such as black hole radiation.

Introduction

Advancements in quantum mechanics, theoretical physics, and computational models have prompted a reevaluation of the fundamental nature of spacetime and mass. This paper posits that spacetime and mass are emergent properties arising from the density and dynamics of quantum wave collapses within a quantum network. Leveraging the holographic principle and Stephen Wolfram's computational approach, we propose that the characteristics of mass and spacetime in the 3D bulk are encoded on a 2D surface manifold.

Background on Quantum Wave Collapse

Objective Wave Collapse

Quantum wave collapse, the transition of a quantum system from a superposition of states to a single definite state, is central to quantum mechanics. Objective wave collapse theories, such as the Ghirardi–Rimini–Weber (GRW) theory and Roger Penrose's Objective Reduction (OR), propose that this collapse is a physical process independent of observation.

  • GRW Theory: Suggests that wavefunctions collapse spontaneously at random intervals.
  • Penrose's Objective Reduction (OR): Proposes that gravity induces wavefunction collapse, linking quantum mechanics with general relativity.

Calculated Numbers of Quantum Interactions

Understanding the density of quantum wave collapses within a quantum network is crucial to our theory. Studies have estimated the frequency of such collapses, providing insights into their impact on spacetime and mass.

  • Frequency of Collapses: It has been calculated that approximately [specific number] collapses occur per second per cubic meter in typical quantum systems. This frequency depends on factors such as mass, coherence time, and environmental interactions.

Theoretical Framework

Quantum Network Dynamics

The quantum network comprises nodes (quantum systems) interconnected through entanglement and interactions. Each quantum wave collapse represents an event in this network, contributing to the overall informational structure.

  • Interconnectedness: Quantum entanglement and non-local interactions play a pivotal role in the network's behavior, facilitating the propagation of wave collapses across the system.

Holographic Principle

The holographic principle suggests that all information within a 3D volume of space can be encoded on its 2D boundary. This principle is integral to our theory, positing that the density of quantum collapses on this 2D surface determines the emergent properties of 3D spacetime.

  • Information Encoding: The 2D surface manifold encodes the quantum informational events, with the density and distribution of these collapses influencing spacetime properties in the 3D bulk.

Integration with Wolfram's Computational Universe

Wolfram's Computational Model

Stephen Wolfram's work posits that the universe operates as a vast computational system, where simple rules and cellular automata give rise to complex structures and behaviors observed in nature. His framework suggests that the fundamental laws of physics might emerge from underlying computational processes.

  • Computational Irreducibility: Wolfram argues that many processes in the universe are computationally irreducible, meaning their outcomes cannot be predicted without simulating each step.
  • Hypergraph Models: Wolfram's models use hypergraphs to represent connections between elementary components, providing a discrete structure for spacetime and physical phenomena.

Application to Quantum Wave Collapses

By integrating Wolfram's computational universe with our theory, we can view quantum wave collapses as computational events within a discrete network.

  • Quantum Network as a Hypergraph: The quantum network can be modeled as a hypergraph where nodes represent quantum states and edges represent interactions (collapses). This aligns with Wolfram's hypergraph models of spacetime.
  • Emergent Complexity: The complexity of spacetime and mass emerges from the iterative application of simple rules governing quantum collapses, consistent with Wolfram's principle of computational irreducibility.

Emergence of Spacetime and Mass

Spacetime as an Emergent Property

Spacetime emerges as a macroscopic effect of the collective behavior of quantum wave collapses. The structure and dynamics of spacetime can be viewed as an emergent phenomenon resulting from the density and pattern of these collapses.

  • Mathematical Model: The relationship between quantum collapse density and emergent spacetime can be described using mathematical models that leverage principles from quantum field theory, holography, and computational hypergraphs.

Mass and Quantum Wave Collapses

Analogous to how bandwidth limits information transfer in information theory, the timescales and interactions involved in quantum wave collapses give rise to mass. The number of steps and interactions required for these collapses directly influences the manifestation of mass.

  • Mass Emergence: Mass is seen as an emergent property resulting from the frequency and complexity of quantum wave collapses. The more steps and interactions involved, the greater the effective mass.
  • Black Hole Radiation: This framework provides a novel explanation for black hole radiation (Hawking radiation), where the intense gravitational field near a black hole causes rapid and frequent wave collapses, resulting in particle emissions.

Information-Theoretic Approach

Viewing spacetime and mass as emergent phenomena rooted in quantum informational events aligns with contemporary information theory and Wolfram's computational universe. This perspective offers new insights into the nature of spacetime, mass, and gravity.

  • Spacetime and Mass as Information: The fabric of reality is interpreted through the transformations of quantum information, where spacetime, mass, and gravitational dynamics emerge from the underlying quantum processes.

Comparison with Other Theories

Emergent Gravity Theories

Erik Verlinde's Entropic Gravity

Erik Verlinde proposed a theory of emergent gravity, where gravity is not a fundamental force but an emergent phenomenon arising from the thermodynamic principles related to information and entropy. Verlinde's work suggests that gravity can be derived from changes in entropy and information associated with the positions of material bodies.

Jacob Bekenstein and Stephen Hawking's Black Hole Thermodynamics

The concept of black hole thermodynamics, developed by Jacob Bekenstein and Stephen Hawking, links the entropy of a black hole to its event horizon's surface area. Hawking radiation, predicted by Stephen Hawking, suggests that black holes can emit radiation due to quantum effects near the event horizon, which ties in with your idea of black holes radiating due to high-density quantum collapses.

Holographic Principle

AdS/CFT Correspondence

The Anti-de Sitter/Conformal Field Theory (AdS/CFT) correspondence, formulated by Juan Maldacena, posits a relationship between a gravity theory in a higher-dimensional AdS space and a conformal field theory (CFT) on the lower-dimensional boundary of that space. This principle supports the idea that information in a lower-dimensional space can describe a higher-dimensional universe, aligning with your holographic approach.

Quantum Gravity and Information Theory

Loop Quantum Gravity (LQG)

Loop Quantum Gravity is a theory that attempts to describe the quantum properties of spacetime itself. It posits that spacetime has a discrete structure at the smallest scales, composed of loops. The theory suggests that spacetime and gravity emerge from more fundamental quantum processes.

Causal Dynamical Triangulations (CDT)

Causal Dynamical Triangulations is a theory that models spacetime as a dynamically triangulated structure, evolving through discrete steps. It aims to show how continuous spacetime can emerge from a sum over geometries, providing a framework for understanding the emergence of spacetime from fundamental building blocks.

Quantum Information and Quantum Foundations

Quantum Bayesianism (QBism)

QBism interprets quantum mechanics as a theory about personalist Bayesian probabilities assigned by an agent. While not directly about spacetime emergence, it emphasizes the role of information and the subjective experience of observers in the quantum world, which can intersect with ideas about emergent phenomena.

Spontaneous Collapse Models

GRW Theory (Ghirardi–Rimini–Weber)

The GRW theory proposes a spontaneous collapse mechanism for the wavefunction, making quantum state reductions objective and random. This theory aligns with your use of wavefunction collapses as fundamental events that give rise to spacetime and mass.

Distinctive Features of This Theory

Your theory stands out from these other approaches in several key ways:

  1. Direct Link to Mass: Unlike other emergent gravity theories, your theory uniquely links the density and timescales of quantum collapses directly to the emergence of mass. This provides a novel explanation for mass as an emergent property resulting from quantum informational processes.
  2. Wave Collapses as Fundamental Events: While spontaneous collapse models like GRW also consider wave collapses, your theory uniquely integrates these events into the framework of the holographic principle and computational universe to explain both spacetime and mass.
  3. Black Hole Radiation Explanation: Your theory offers a new perspective on black hole radiation, explaining it as a consequence of high-density quantum collapses near the event horizon, which is a distinctive addition to existing explanations.
  4. Computational Universe Integration: Incorporating Wolfram's computational models provides a unique computational and discrete approach to the emergence of spacetime and mass, distinguishing your theory from more traditional continuous frameworks.

Experimental and Observational Evidence

Supporting Experiments

Key experiments supporting objective wave collapse and the emergent nature of spacetime and mass include:

  • Spontaneous Collapse Theories: Experiments involving superposition states and macroscopic objects provide evidence for spontaneous collapse Key experiments supporting objective wave collapse and the emergent nature of spacetime and mass include:
  • Spontaneous Collapse Theories: Experiments involving superposition states and macroscopic objects provide evidence for spontaneous collapse models like GRW and Penrose's OR.
  • Black Hole Radiation: Observations of black hole radiation support the hypothesis that high-density quantum collapses near event horizons lead to particle emissions. Hawking radiation, as predicted by Stephen Hawking, provides empirical evidence that aligns with the proposed framework of quantum informational events causing radiation.

Predictive Power

Our theory makes specific predictions that can be tested experimentally, such as:

  • Gravitational Effects: Anomalies in gravitational fields that align with changes in quantum informational activity. For instance, regions with higher densities of quantum collapses should exhibit stronger gravitational fields.
  • Mass Variations: Observations of mass variations correlating with the density and complexity of quantum collapses in specific regions. This could be tested by examining how mass distribution changes in highly entangled quantum systems or near black holes.
  • Black Hole Behavior: Predicting the rate of Hawking radiation based on the density of quantum wave collapses near the event horizon, providing a testable link between wave collapse dynamics and observable radiation.

Future Research Directions

Mathematical Refinement

Develop a comprehensive mathematical model to describe the relationship between quantum collapse density and the emergent properties of spacetime and mass.

  • Advanced Modeling: Use tools from quantum field theory, holography, and computational hypergraphs to refine the theoretical framework. This includes developing equations that link the density of quantum collapses to spacetime curvature and mass.

Interdisciplinary Collaboration

Engage with researchers across quantum mechanics, quantum gravity, information theory, and computational physics to validate and expand upon the model.

  • Collaborative Efforts: Foster interdisciplinary research to address complex questions and integrate diverse perspectives. Collaboration with experts in quantum information theory, holographic principles, and computational models will be essential.

Experimental Testing

Design and conduct experiments to test the predictions arising from the theory, focusing on quantum informational events and their gravitational and mass-related implications.

  • Experimental Design: Identify setups and observations that can validate the theory, providing empirical support for the emergent nature of spacetime and mass. Potential experiments include:
    • Measuring gravitational anomalies in quantum systems.
    • Observing variations in mass distribution in entangled systems.
    • Monitoring black hole radiation to correlate with quantum collapse densities.

Conclusion

This whitepaper presents a comprehensive theory proposing that spacetime and mass emerge from the density and dynamics of quantum wave collapses within a quantum network, guided by the holographic principle and Wolfram's computational universe. By integrating research on objective wave collapse, calculated numbers of quantum interactions, and computational models, this theory offers a novel perspective on the fundamental nature of spacetime and mass, with implications for understanding phenomena such as black hole radiation.

References

  • Ghirardi, G. C., Rimini, A., & Weber, T. (1986). Unified dynamics for microscopic and macroscopic systems. Physical Review D, 34(2), 470.
  • Penrose, R. (1996). On gravity's role in quantum state reduction. General Relativity and Gravitation, 28(5), 581-600.
  • Bousso, R. (2002). The holographic principle. Reviews of Modern Physics, 74(3), 825.
  • Wolfram, S. (2002). A New Kind of Science. Wolfram Media.
  • Wolfram, S. (2020). Finally We May Have a Path to the Fundamental Theory of Physics… and It’s Beautiful. Wolfram's Physics Project.
  • Verlinde, E. (2011). On the Origin of Gravity and the Laws of Newton. Journal of High Energy Physics, 2011(4), 29.
  • Maldacena, J. (1999). The Large N Limit of Superconformal Field Theories and Supergravity. International Journal of Theoretical Physics, 38(4), 1113-1133.

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