This is an unpublished short note that I wrote in 2004: Multi-time [pdf]

**Abstract**

In the paper “Dissipation, Lorentz metric, and information: A phenomenological calculus of bilinear forms” [A. H. Louie & I. W. Richardson (1986) *Mathematical Modelling* **7**, 227−240 sciencedirect.com/science/article/pii/0270025586900497], we described how our four- dimensional spacetime arose from a special bilinear form on our “description space”. For *n*=2, the splitting of the 4=2^{2} dimensions into 3+1 of space and time is a natural consequence of the theory. For a general *n*≥2, the splitting of the *n*^{2} dimensions is ½*n*(*n*+1) for space and ½*n*(*n*−1) for time. In this paper, I revisit the theory that leads to universes with space of more than three dimensions and time of more than one dimensions.

Since 2004, I. W. Richardson and I have published two more papers in the phenomenological calculus sequence:

Louie, A. H. and Richardson, I. W. (2006)

A phenomenological calculus for anisotropic systems

*Axiomathes* **16**(1−2), 215−243

springerlink.com/content/x2p11tg1984wq858

Richardson, I. W. and Louie, A. H. (2007)

A phenomenological calculus of Wiener description space

*Chemistry and Biodiversity* **4**(10), 2315−2331

onlinelibrary.wiley.com/doi/10.1002/cbdv.200790189/abstract