The Tri-space Laboratory

- still in the age of great discoveries


Introduction to Tri-space

Welcome to the Tri-space Laboratory. Here, you can read about a multi-metric theory of space, time and matter, which was originally developed in 1997. This was motivated by my personal dissatisfaction with the level of understanding in theoretical physics, particularly nuclear and elementary particle physics, but also with the absence of foundations for quantum mechanics. The new theory appears to represent a mathematically simple, consistent and logically completable account of all of the laws of physics.

Although it appears to complement Newtonian physics, special relativity is flawed by the requirement that physical length and historical time arise from the same metric, thus relating length and time intervals by √-1 (see The twin paradox). Quantum mechanics is based on a set of outrageously ad hoc rules and assumptions – yet it seems to make consistent but incomplete sense. Neither theory can encapsulate causality in time or the principles of classical thermodynamics; both are completely time reversible.

The multi-metric approach of 'Tri-space' (see figure) is wholly consistent with the established laws of physics. The concept of an unsigned space-time metric is replaced by several signed metric spaces, defining 'energy' and making the physical dimensions specific to their functions (see Schrödinger’s cat resolved).

This 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 crystalline lattices, describing a robust form of superconductivity. None of this is possible on a single, space-time manifold. The scope of my suggestion for quantum theory and condensed matter theory is summarised in Why Tri-space?

By connecting spaces with different metrics, using a 'wave function', various kinds of elementary particles can be described, with purely geometrical quantum numbers. By adding universal force laws, acting between the particles according to their masses or quantum numbers, all of the laws of physics can be generated. Quantisation occurs when manifolds inter-connect and history is made whenever the topology of connection changes. In between times, the amplitudes of inter-connection can evolve and propagate, as described by quantum mechanics.

Under 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 evolving. The process is inherently statistical and time-irreversible – like a perpetual game of dice.

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