Canonical quantisation: A solution to quantum gravity?

... New perceptions of 4-dimensional space

Conventionally, Minkowski space is made up of four separate mathematical descriptions of each of its dimensions – three in space and one in time – named ‘line elements’. In his work, Dr Marongwe aims to translate this relativistic language into the language of Quantum Mechanics. To do this, he relates Minkowski line elements to quantum expressions of four-dimensional space and momentum; two quantities which have a clear relationship between their uncertainties, according to the ‘uncertainty principle’ of Quantum Mechanics.

“We might perceive a line element of Minkowski space as a pulse of 4-space with an associated conjugate 4-momentum via the uncertainty principle,” he explains. “Thus, the longer the line element the lower its 4-momentum.” According to this logic, all distances, including Minkowski line elements, must be some multiple of the ‘Planck length’ – the smallest distance allowed in Quantum Mechanics. ...

read more at  Research Outreach

see also A RESOLUTION OF THE MEASUREMENT PROBLEM FROM A QUANTUM GRAVITY PERSPECTIVE, STUART MARONGWE