Volume 5, Issue 2, pages 13-27
Nearly one hundred years after its origins, foundational quantum mechanics remains one of the greatest unexplained mysteries in physics today. During this period, chaos theory and its geometry—the fractal—have developed. In this paper, the propagation behaviour of a simple iterating fractal—the Koch Snowflake—was described, analysed and discussed. From an arbitrary observation point within the fractal set, the fractal propagates forward by oscillation, and, retrospectively—viewing it from behind—it grows exponentially from a point of origin. The fractal propagates a potentially infinite exponential sinusoidal wave of discrete triangular bits, exhibiting many characteristics of light and quantum entities. The fractal’s wave speed is potentially constant, offering insights into the perception and a direction of time where, to an observer when travelling at the frontier of propagation, change, and thus time, may slow to a stop. In isolation, the infinite fractal is a superposition of component bits, in which position and scale pose a problem of localisation. In reality, this problem is experienced within isolated ‘fractal landscapes’ in which position is known only through the addition of information or markers. The quantum ‘measurement problem’, ‘uncertainty principle’, ‘entanglement’, and the quantum-classical interface are addressed; these are problems of scale invariance associated with isolated fractality. Dual forward and retrospective perspectives of the fractal model offer the opportunity to unify quantum mechanics with cosmological mathematics, observations, and conjectures. Quantum and cosmological problems may be different aspects of the one fractal geometry.
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