The Tri-space Laboratory

Introduction

Welcome to the Tri-space Laboratory. Here, you can read about a multi-metrical theory of space, time and matter, which has been under development since 1995. This development was motivated by my personal dissatisfaction with the state of understanding in theoretical physics, particularly nuclear and elementary particle physics, but also with the very foundation of quantum mechanics.

The theory requires the existence of multiple metrical spaces, which determine the laws of physics and the properties of the elementary particles. On How Time works is a visualisation of the Tri-space description of how time works, in the case where a system of interacting particles is observed.

This multi-metric approach is wholly consistent with the established laws of physics, and it has enabled me to construct a theory of bonding for the liquid state, which can also be applied to glass and to the pairing of electrons in anisotropic lattices, describing a robust form of superconductivity. I have also derived a suggestion for the form of the strong force between nucleons, consistent with the concept of nuclear isospin (where the difference between protons and neutrons is just a type of spin vector), that leads to a directly solvable equation of state for atomic nuclei. None of this is possible on a single, metrical space-time. The scope of my suggestion is summarised in Why Tri-space?

For 15 years now, I have been trying to publish these ideas in a journal, without success. Could it be that nobody is allowed to question the foundations of relativity or quantum theory any more? If so, we could be doomed never to progress in basic physics. Relativity is flawed by the requirement that physical length and historical time arise from the same metric – when they have such different physical characteristics. Quantum mechanics is based on a set of outrageously ad hoc rules and assumptions – becoming even worse for quantum field theory. Neither theory can encapsulate causality in time or the principles of classical thermodynamics.

My suggestion is that the classical metric itself is in fact composite – and I don’t mean just rolled-up-small, extra dimensions. I mean a set of inter-connecting, metrical sub-spaces, each of which provides a sub-set of Natures laws. The classical metric emerges as the resultant space and time, when the structure of matter has been resolved. We must infer the properties of the metric from studying matter and the particles of Nature, at all levels of structure and in all of its observable forms. By connecting different metrical spaces, you can generate elementary particles with all kinds of properties. Why not have a go yourself? I believe that one particular, multi-metrical structure generates all of the forces and particles in Nature, and that this should be readily understandable by future students of science.

Presentation

I present this material at three different levels – Introductory, Student and Professional. The difference is mainly in the level of maths and familiarity with the established methods of theoretical physics. Please select your current level, at the top of this page, before moving on. Just one proviso – you must never use this theory to design or develop weapons of any kind. Further, the author accepts no responsibility for the correctness of the theory or for consequences of its application.

If you read 'Beyond Einstein', some specific problems with the unquestionable laws of physics are made clear. In 'Metrical structure', the distinctions between classical and quantum theory are quickly dispelled, at the cost of a unique, space-time metric. But, because matter is made of particles, we can never measure the underlying metrical structure directly, and the predictions of classical relativity are maintained. In 'Particles and Composite Matter', the basic method for connecting the metrics is presented, describing particles as in quantum mechanics, but also consistent with relativity. The formation and breaking up of composite matter is described by the separation and re-joining of metrical spaces, leading to the definition of proper length and avoiding the philosophical disasters of the quantum theory. The process is inherently statistical and time-irreversible – like a continuous game of dice.

I have developed some of the primary applications of this theory that go beyond quantum mechanics, notably to liquids and atomic nuclei. Many other applications are still to be attempted, but this multi-metrical structure has the potential to describe all of physics. No features of the reported elementary particles, or the fundamental forces, lie outside the scope of this description.

Read 'Products' if you would like some hints on how to work it out. If you are still interested, or if you would like to help this research programme, why not order one or more of my Tri-space papers (accessible from any Products page)?

Your comments on this theory and my presentation are very welcome. Guest book or, if to be treated as confidential, Responses.

Robert Herrod
Copenhagen, November 2009