Symmetric Sampling and the Discrete Laws of Physics (4): Heisenberg’s Uncertainty Principle is “incomplete”

For creating a measurable Physics, we must first revisit its theoretical foundations. Deterministic Physics cannot be measured and therefore cannot be proven experimentally since an infinite amount of energy is required to confirm a Law of Physics to infinite precision. This “measurement problem” existed ever since Physics – centuries ago – slowly separated from its deterministic theological roots. Given the experimental successes of deterministic Newtonian Mechanics, deterministic Physics nevertheless became the law-of-the-land. The introduction of Quantum Mechanics in the 1920s threw a spanner in the works and re-emphasised the importance of that underlying measurement problem. Rather than removing Classical Physics' deterministic inheritance, however, the science community reacted by introducing deterministic postulates to make Quantum Mechanics “fit” the prevailing classical framework. Unphysical postulates like the existence of a wavefunction, assumed to be a “complete” description of a physical system, and its square was assumed to be “measurable”, created a series of problems at the core of Physics, which remained unresolved for more than a century. This (part-4) paper promotes a discrete uncertainty principle as the foundation of a Discrete Physics. Symmetric-sampling incorporates this discrete uncertainty principle from the onset and provides comprehensive rules for handling measurements and discrete computer representations of signals and functions. This principle applies to all of Physics, including classical Quantum Mechanics and General Relativity. The red line of this paper is to complete the original “X-ray-microscope” model experiment proposed by Heisenberg in 1927. Retracing Heisenberg’s original “Gedanken” experiment helps us pinpoint the deterministic flaws at the core of Classical Physics and Quantum Mechanics, while assessing a fresh comprehensive Discrete Physics.