Quantum Gravity



Introduction

This document is pure speculation. It is my own personal ramblings and should be taken with a very large pinch of salt.

The Ticker Tape Interpretation strongly suggests that space-time is not an essential to the formulation of Quartum Mechanics. It is quite possible that space-time is constructed from more fundamental primitives. The most obvious candidate for space-time building blocks is spin 1/2 particles + photons. This approach has already been explored, rather unsuccessfully, by Roger Penrose and others. The probability of success is therefore relatively small, however we persevere since hopefully the experince will be educational and the list of alternative candidates is small (The author is not a great believer in String theory) 

The Universe

We assume that:

  1. Macroscopic observers see the world as a swarm of electrons (and positrons) and photons.
  2. Individual systems can be indentified statistical (groupings of conjugate measuring devices). Intuitively, a simple quantum system (e.g. spin 1/2 system) is identified with a "particle", and so individual system are viewed as having "zero or limited spatial extent". We know that "coupled" systems may be greatly extended in space, but it is easier to view these systems as consisting of 2 separate particles, at least for the moment.

Need for a connection

Suppose we have system A is known to be in a state Lx=1, and system B is known to be in state L'x=1. What is the combined angular momentum of the system? (Does it even make sense to talk about that?)

In the Ticker Tape world, there are only measuring devices so the only way to tell

  1. Setup a third measurement set L'' = {Lx'', Ly'', Lz''}.
  2. Measure system A with L'' to determine how L'' relates to L. (*** Not sure how to do this)
  3. Move L'' to system B
  4. Measure system A with L'' to determine how L'' relates to L.