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Malcolm J. Macleod [3]Malcolm Macleod [3]
  1. Programming Planck units from a virtual electron; a Simulation Hypothesis (summary).Malcolm Macleod - 2018 - Eur. Phys. J. Plus 133:278.
    The Simulation Hypothesis proposes that all of reality, including the earth and the universe, is in fact an artificial simulation, analogous to a computer simulation, and as such our reality is an illusion. In this essay I describe a method for programming mass, length, time and charge (MLTA) as geometrical objects derived from the formula for a virtual electron; $f_e = 4\pi^2r^3$ ($r = 2^6 3 \pi^2 \alpha \Omega^5$) where the fine structure constant $\alpha$ = 137.03599... and $\Omega$ = 2.00713494... (...)
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  2. 3. Gravitational orbits emerge from Planck scale n-body rotating orbital pairs.Malcolm J. Macleod - manuscript
    An orbital simulation program is described that uses a geometrical approach to modeling gravitational and atomic orbits at the Planck scale. Orbiting objects A, B, C... are sub-divided into points, each point representing 1 unit of Planck mass, for example, a 1kg satellite would divide into 1kg/Planck mass = 45940509 points. Each point in object A then forms a rotating orbital pair with every point in objects B, C..., resulting in a universe-wide, n-body network of rotating point-to-point orbital pairs. Each (...)
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  3. 2. Programming relativity as the mathematics of perspective in a Planck unit Simulation Hypothesis.Malcolm Macleod - manuscript
    The Simulation Hypothesis proposes that all of reality is in fact an artificial simulation, analogous to a computer simulation. Outlined here is a method for programming relativistic mass, space and time at the Planck level as applicable for use in Planck Universe-as-a-Simulation Hypothesis. For the virtual universe the model uses a 4-axis hyper-sphere that expands in incremental steps (the simulation clock-rate). Virtual particles that oscillate between an electric wave-state and a mass point-state are mapped within this hyper-sphere, the oscillation driven (...)
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  4. Programming relativity and gravity via a discrete pixel space in Planck level Simulation Hypothesis models.Malcolm J. Macleod - manuscript
    Outlined here is a simulation hypothesis approach that uses an expanding (the simulation clock-rate measured in units of Planck time) 4-axis hyper-sphere and mathematical particles that oscillate between an electric wave-state and a mass (unit of Planck mass per unit of Planck time) point-state. Particles are assigned a spin axis which determines the direction in which they are pulled by this (hyper-sphere pilot wave) expansion, thus all particles travel at, and only at, the velocity of expansion (the origin of $c$), (...)
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  5. Mathematical electron model and the SI unit 2017 Special Adjustment.Malcolm J. Macleod - manuscript
    Following the 26th General Conference on Weights and Measures are fixed the numerical values of the 4 physical constants ($h, c, e, k_B$). This is premised on the independence of these constants. This article discusses a model of a mathematical electron from which can be defined the Planck units as geometrical objects (mass M=1, time T=2$\pi$ ...). In this model these objects are interrelated via this electron geometry such that once we have assigned values to 2 Planck units then we (...)
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  6. 4. Interpreting Planck scale gravitational orbitals via atomic orbital transitions.Malcolm Macleod - manuscript
    An orbital simulation program is described that uses a geometrical approach to emulate gravitational and atomic orbits at the Planck scale. The gravitational orbital approach divides orbiting objects into multiples of Planck mass points to form an n-body complex of discrete point-to-point orbital pairs between the objects. Each orbital pair rotates 1 Planck length per unit of Planck time in a continuous loop such that when mapped over time gravitational orbits emerge. However 1 point may contain 10^{20} or more individual (...)
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