Fractal Topology of Time: Introduction

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Integral Time: A Synthesis of Temporal Theories

Summary

🌀 Integral Time Concepts: Sean Kelly synthesizes theories from Whitehead, Sri Aurobindo, and Leibniz, dividing time into eternity, flowing time, and their integration.

🔄 Deep Transcendence: Fractals model the iterative process of "deep transcendence," where timeless and temporal domains interact.

🌌 Quantum Insights: Bohm, Nottale, Penrose, and Hameroff explore time's emergence from a timeless quantum realm, integrating quantum mechanics and consciousness.

📚 Scientific and Philosophical Bridging: Newton-Smith and others advocate integrating scientific theories like Quantum Mechanics and Relativity in philosophical studies of time.

📐 Mathematical Models: Researchers like Saniga and Vrobel use fractals and Cremona transformations to bridge subjective and objective temporal experiences.

References

Integral Time

The Theory of Fractal Time: Field Equations (the Theory of Almost Inertial Systems and Modified Lorentz Transformations)

Time and Consciousness in a Quantum World

Quantum features in statistical observations of "timeless" classical systems

Quantum geometrodynamics with intrinsic time development

Multifractals, Mumford curves, and Eternal Inflation

Space-Times with Integrable Singularity

The Concept of Entropic Time: A Preliminary Discussion

The arrow of time and the Weyl group: all supergravity billiards are integrable

Background Music

Diablo III - Collector's Edition Soundtrack (2012), New Tristram

GWENT: Rogue Mage (2022), The Hunter and the Prey

Cyberpunk 2077 Original Game Score, Scavenger Hunt

#fractal #time #quantumphysics #gravity #infinity #philosophy #space #science
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We need to go back to 1/r² and the three dimensional physics of the Inverse Square Law. Even back to the spherical 4πr² geometry of Huygens’ Principle of 1670 that says:
“Every point on a light wave front has the potential for a new spherical 4πr² light wave".

Each point on the wave front represents a potential photon ∆E=hf electron interaction or coupling. The spherical surface forms a boundary condition or manifold for the uncertainty ∆×∆pᵪ≥h/4π of this interaction. Light waves radiate out spherically 4πr² with their interior forming the characteristic of three-dimensional space with the spherical surface forming a probabilistic wave front. Each point ∆E=hf on the curvature of the wave front forms the potential for a new spherical wave, a photon of energy, a new oscillation or vibration that forms our future. We have to square the radius r² because process is unfolding relative to the surface of the sphere.

The Universe could be based on simple geometry that forms the potential for evermore complexity. Forming not just physical complexity, but also the potential for evermore-abstract mathematics. Time t², ψ², c², e² and velocity Eₖ=½mv² all squared, geometrical similarity formed out of spherical symmetry

In this theory we even have an objective reason for the start of the Fibonacci numbers 0, 1, 1, ... with the t = 0 and the positive +1 and negative –1 representing the positive and negative of electromagnetic waves with everything being based on a geometrical process. This is because if the quantum wave particle function Ψ or probability function is reformulated as a linear vector then all the information I have found says that each new vector is formed by adding the two previous vectors together this forms the Fibonacci Sequence 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, ∞ ad infinity!

We have photon ∆E=hf energy continuously transforming potential energy into the kinetic Eₖ=½mv² energy of matter, in the form of electrons. Could this process form a design pattern or template in the form of spherical geometry for self-organization and complexity to arise?

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imagination is becoming a new grounding for neuro-ontological vertigo...?

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