A conversation with a new friend led me to work on this abstraction...
Here it goes:
How do we perceive reality?
As I view it, “Todo son números”, mathematics and philosophy offer valuable tools for exploring the interplay between perception, simulation, and self-awareness. Below, I will do my best to break down this recursive framework and discuss its implications for understanding dynamic systems, consciousness, and even artificial intelligence. At least, I’ll give it a try.
1. Emergence as a Function of Perception and Simulation
The equation?
E=f(P,S)=P⋅S+Δ
Where emergence (E) arises from the interaction between perception (P) and simulation (S), with an added unpredictable component (delta).
Perception (P): The lens through which we conceptualize potential. It’s the structured "belief" about what could exist.
Simulation (S): The iterative process of exploring possibilities in a "not yet realized" state. Think of it as a sandbox for testing hypotheses—a model of causality.
Stirring (Delta): The unpredictable force—creativity, chaos, or self-awareness—that cannot be fully reduced to P and S.
This mirrors systems where order and chaos coexist. (I had a deep conversation about this with Chandler Perog once—chaos is order, think of weather patterns, fractal patterns, or neural networks.)
2. Mathematical Exploration of the Recursive Observer Behind the Witness
The recursive relationship for the witness:
W=g(E)=E+W
I’d say this reveals that witnessing (W) is not passive but participatory. It is somewhat agreed, at least philosophically, that observers shape reality by integrating their awareness into the system (though quantum entanglement might suggest a more complex view Dr. César Rodríguez Rosario can help us better understand why...).
Feedback Loop: Emergence (E) reshapes the witness (W), which in turn influences future emergence. This creates a self-referential dynamic where observation becomes part of the system’s evolution, potentially acting as a major driver of transformation and or existential stagnation.
Here comes your part Mike Rooney…recursive feedback loop of becoming:
Combining both equations, we see a system where emergence (E) drives witnessing (W), and witnessing recursively influences further emergence. Hence:
Emergence:
E=P⋅S+Δ
Witnessing:
W=g(E)=E+W
Substituting E into W, we get:
W=(P⋅S+Δ)+W
When we rearrange:
W−W=P⋅S+Δ
This infinite loop of self-reflection and transformation mirrors processes like learning, creativity, or even the evolution of consciousness (The 'Emerging Rule')
Philosophical Implications
1. Self-Awareness as Emergent: Delta—representing unpredictability—could symbolize self-awareness or creativity emerging from structured processes (P • S). It’s the "spark" that makes systems more than deterministic machines.
2. Observer-Observed Duality: The recursive relationship between E and W mirrors principles I recently explored (on the surface) in quantum mechanics (such as wavefunction collapse) and phenomenology (how consciousness shapes experience). Observers are not detached; they actively shape reality.
3. Dynamic “Becoming”: The model then frames becoming as an ongoing interplay between potential (perception), exploration (simulation), realization (emergence), and reflection (witnessing). It mirrors processes in nature, cognition, and AI; AI mirrors in cognition and nature’s processes :)))
Potential Extensions
Iterative Refinement: Introduce discrete time steps to model recursion explicitly,
Nonlinear Dynamics: Explore how delta depends on P, S, or W,
Applications in AI or Consciousness Studies: The abstraction could model neural networks (where P= inputs, S = processing layers, Δ = randomness) or consciousness as an emergent property of recursive self-observation.
At last, I am excited because this abstraction could be a starting point, not an endpoint to rethink how perception, simulation, and observation weave together to create the dynamic, ever-changing world we experience (when I say we is not necessarily all of us). Whether applied to AI, philosophy, or personal growth, Mike let’s keep dancing…this may be one of this serendipitous moment when reality is perceived, simulated and transformed.
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