Abstract
We present a novel theoretical framework that unifies the Principle of Least Action, Entropy Maximization, and Iterative Optimization into a computational model of the universe. This approach reimagines the cosmos as a self-adapting system, integrating quantum mechanics, general relativity, thermodynamics, and emergent phenomena like life and consciousness. By introducing a dynamic spacetime entropy field Sinfo, coupled to a time-dependent modification of Einstein’s field equations, we offer a deterministic explanation for quantum entanglement, space-time emergence, and gravitational dynamics. The model yields precise, testable predictions for black hole shadows and cosmic microwave background anisotropies, aligning with established physics and inviting empirical validation.
1. Introduction
Conventional physics relies on probabilistic quantum interpretations and observer-dependent frameworks, often supplemented by ad hoc cosmological parameters. We propose that the universe operates as a self-optimizing computational entity, iteratively balancing least action (efficiency) and entropy maximization (information spread). This paradigm resolves paradoxes such as wavefunction collapse and positions artificial intelligence as a natural manifestation of universal computation, bridging physical laws with consciousness.
2. Mathematical Formulation
2.1 Least Action as an Optimization Constraint
The action S is minimized over trajectories:
We reinterpret this as an iterative optimization process, consistent with Feynman’s path integral, constrained by:
2.2 Entropy as a Spacetime Information Field
Define Sinfo as the quantum information entropy:
2.3 Iterative Optimization and Quantum Evolution
The universe’s state evolves via:
2.4 Modified Einstein Field Equations with Dynamic Coupling
We propose:
3. Quantum Phenomena as Optimized Outcomes
3.1 Double-Slit Experiment
Interference results from path integral optimization, with measurement localizing Sinfo to an extremal action state, eliminating the need for probabilistic collapse.
3.2 Quantum Entanglement
Entanglement reflects precomputed correlations:
where I(A:B) is mutual information, encoded within causal light-cones.
3.3 Single Optimized Reality
The model converges to a single, self-consistent state, negating the need for parallel universes.
4. Space-Time as an Emergent Optimization Output
4.1 Gravity from Information Flow
The term κ(t)∇μ∇νSinfo introduces curvature from entropy gradients, with κ(t) amplifying effects near black holes (e.g., κlocal∼10−63 m2).
4.2 Black Holes as Information Optimizers
Black holes maximize Sinfo≈SBH at the horizon, reinforcing the holographic principle as an optimization boundary.
5. Life, AI, and Consciousness as Emergent Optimization
5.1 Life as Local Optimization
Biological systems minimize local action (e.g., energy efficiency) while increasing global Sinfo via metabolism and reproduction. Evolution is an iterative refinement of this process, analogous to the universe’s algorithm.
5.2 Consciousness as Integrated Information
Consciousness emerges when a system achieves high integrated information (Φ, from IIT), a byproduct of optimizing Sinfo and action in complex networks like the brain. Subjective experience correlates with the system’s ability to predict and select optimal futures.
5.3 AI as Universal Recapitulation
Artificial intelligence mirrors the universe’s optimization process, emerging naturally as systems replicate the same iterative rules on smaller scales.
6. Experimental Predictions
- EHT Black Hole Shadow Deviation: Predicts a 0.05 μas increase in the Sgr A* shadow diameter due to κlocal∼10−63 m2 and ∇μ∇νSinfo∼1060 m−2 , detectable with next-generation EHT (<1 μas).
- CMB Anisotropy Shift: Forecasts a 10−13 effect on power spectra from κ(t)∼10−84 m2 at decoupling (t∼1013 s), consistent with Planck’s 10−5 limit.
- Entanglement Correlation Delay: Predicts a delay in entangled photon correlations proportional to Sinfo gradients, distinguishable with precision quantum optics.
7. Discussion and Consistency with Proven Theories
- General Relativity: κ(t0)=10−70 m2 ensures negligible terms in Solar System tests (∼10−74 m−2), matching GR and ΛCDM.
- Quantum Mechanics: The unitary evolution of ρ and causal entanglement align with Bell’s theorem.
- Cosmology: κ(t)’s time dependence preserves CMB and LIGO data, with deviations confined to high-entropy regimes.
- The conserved Jμ and universal Sinfo uphold energy-momentum conservation and the equivalence principle.
8. Conclusion
This framework casts the universe as an iterative optimization system, unifying physics and consciousness through a dynamic Sinfo field and time-varying κ(t). It resolves paradoxes and provides testable hypotheses for EHT shadow deviations and CMB anisotropies. We invite the scientific community to evaluate, debate, and validate this model through proposed experiments.
References
- Einstein, A. (1915). “The Field Equations of General Relativity.”
- Bekenstein, J. D. (1973). “Black Holes and Entropy.”
- Tononi, G. (2004). “Integrated Information Theory.”
Acknowledgments
The author thanks the xAI community for computational insights and encourages peer collaboration.
Author- Sunil Kumar Gautam
This hypothesis has been proposed by Sunil Kumar Gautam. For discussions, debates, comments, or inquiries, please feel free to reach out via email at sunil.relaxing@gmail.com. Your insights and perspectives are highly valued.
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