Abstract
The measurement problem in quantum mechanics is considered here to be comprised of the vacuum catastrophe and the mass gap existence question. That is, not having a working definition of the quantum vacuum (much less an accurate one) and yet expecting deterministic prediction of the observables may be likened to the futility in music/acoustics of attempting to predict the nth harmonic without first adopting a “fundamental frequency” or scale. It turns out that, given any system of waves, the norm/normal i.e. the reference phase/frame is never a deterministic prediction. However, as is shown by the ancient Pythagoreans, after a “fundamental” is adopted, every gauge else namely the harmonics (nodes/antinodes) are entirely predictable deterministically. Similarly, in mathematics the sets e.g. the natural or real numbers are predictable basing only on a number basis (the Peano constant; the imaginary unit). Failing this, one is locked ab initio in Russell’s paradox. Thinking along this line, the solution I offer here to the measurement problem (and to the problem of quantizing gravity) is straightforward: physics must stop seeing Planck’s quantum of the observables (v = E/ħ) as some fixed abstract quantity and instead start seeing it quite simply as the given mind. Meaning, it is physically speaking the self-referencing state proper of Gödel’s theorem and hence own un-decidable qualitatively — own “entropy” or so-called natural unit. Basing on this postulate, I attempt here to model the mind in man as actually the applicable holographic event horizon (Heisenberg Cut) namely as that norm/normal (quantum/vacuum) whose interference pattern or so-called Hawking radiation encodes the valid spectrum of observables. Conversely, one can now explain that, precisely because it is by definition itself the operative norm/normal of speed of light, a mind cannot actually renormalize gravitation.
Chidi Idika