Norman Margolus

I'm a Research Affiliate at the MIT Computer Science and Artificial Intelligence Laboratory. I also provide some technical advice to Permabit, an archival storage company that I started.

My first love is the physics of information and computation, and the informational modeling of physics. This was the subject of my PhD thesis (MIT 1987, 12MB PDF) and has been the focus of most of my subsequent research. I was privileged to work with Edward Fredkin, Tom Toffoli and Charles Bennett at the MIT Information Mechanics Group between 1980 and 1995, first as a PhD student, and then as a Research Scientist.

At MIT I was also the Principal Investigator and leader of the CAM-8 CA machine project, which designed and built a fine-grained, spatially-organized mesh-architecture multiprocessor. The point of this project was to advance the state of Cellular Automata modeling of physics, by making available hardware that can take advantage of the inherent efficiency of simple, uniform, spatially organized computation. Software and algorithmic work using CAM-8 machines is still ongoing at a number of locations, as well as architectural work on next generation machines.

The CAM-8 project was intended to provide a tool for investigating the possibilities of the kind of fine-grained parallelism that is available in nature. It was successful in this, but the project ended at the prototype stage, before CAM-8 machines had been built on a scale sufficiently large to enable investigations into the "previously inaccessible band of the computational spectrum" that was our true target. Meanwhile, this project distracted me for several years from pursuing fundamental questions in the Physical Theory of Computation. Questions such as, What is the physical measure of the amount of computation that a given dynamics can provide? How, in general, can one construct relativistic cellular automata? How can one synchronize the operation of quantum cellular automata? and What are the Information-Mechanical generalizations of physical concepts such as "action" and "least-action principles," in the context of CA models that reproduce macroscopic physical phenomena? These are the research topics that I am most interested in, though I still remain fascinated by the possiblities of discrete lattice architectures.


Some of my papers:

Physics and Lattice Gasses

Quantum Computation (from 1986, in New Techniques and Ideas in Quantum Measurement Theory, edited by Daniel Greenberger).
Parallel quantum computation (from 1990, in Complexity, Entropy, and the Physics of Information, edited by Wojciech Zurek).
A Bridge of Bits (from 1993, in Proceedings of the Workshop on Physics and Computation, edited by Doug Matzke).
The maximum speed of dynamical evolution (from 1998, in Physica D, page 188).
Crystalline Computation (from 1999, in Feynman and Computation, edited by Anthony Hey).
Universal cellular automata based on the collisions of soft spheres (from a conference in 1999, appears in Collision Based Computation, edited by Andrew Adamatzky, page 107, (2002), and in New Constructions in Cellular Automata, edited by David Griffeath and Cristopher Moore. page 231, (2003)).
Looking at Nature as a Computer (from a workshop in 2001, appears in International Journal of Theoretical Physics 42:2, page 309, (2003)).
Mechanical Systems that are both Classical and Quantum (based on a talk given at the Unconventional Computation Workshop, Santa Fe, March 22 2007).

Lattice Architectures

Cellular-automata supercomputers for fluid dynamics modeling (from 1986, in Physical Review Letters, page 1694).
CAM-8: a computer architecture based on cellular automata (from 1993, in Pattern Formation and Lattice-Gas Automata, edited by A. Lawniczak and R. Kapral).
An FPGA architecture for DRAM-based systolic computations (from 1997, in Proceedings of the IEEE Workshop on FPGAs for Custom Computing Machines, edited by Arnold et. al., page 2).
An Embedded DRAM Architecture for Large-Scale Spatial-Lattice Computations (from 2000, in The 27th Annual International Symposium on Computer Architecture, page 149).
Mechanism for efficient data access and communication in parallel computations on an emulated spatial lattice (United States Patent 6,205,533 applied for in 1999, issued in 2001).

Lectures

Emulating Physics: Cellular Automata that exhibit finite-state, locality, invertibility and conservation laws (a talk given at the Computing Beyond Silicon Summer School, CalTech, June 24, 2002).
Physical Worlds: Cellular Automata with computation universality at small and large scales (a talk given at the Computing Beyond Silicon Summer School, CalTech, June 25, 2002).
Spatial Computers: Architectures and algorithms for large-scale spatial computations (a talk given at the Computing Beyond Silicon Summer School, CalTech, June 26, 2002).
Nature as Computer / Computer as Physics: Physical concepts enter Computer Science and computer concepts enter Physics (a talk given at the Computing Beyond Silicon Summer School, CalTech, June 27, 2002).

Some Lattice Gas Movies

The models depicted in these movies are discussed above in the paper "Crystalline Computation" and in the lecture "Emulating Physics." All simulations were performed on CAM-8.

Diffusion and sound waves in a reversible lattice gas (10MB): the four direction TM lattice gas is started with a 50% density of particles, except for an empty region (black) in the center. Half of the particles are colored blue and half yellow, so that both diffusion and waves are visible at the same time. The lattice is 512x512.
Lattice gas fluid flow (5MB): a simulation of a six direction lattice gas fluid flowing past a half cylinder, exhibiting vortex shedding. Visualized by also simulating a "smoke" fluid within the CA. System is 2Kx1K.
Long range forces in a lattice gas(3.5MB): a simulation of a six direction lattice gas fluid with long-range forces. Force particles act at three discrete distances to produce clumps that form an elastic crystal. The model is discussed in A lattice gas with long range interactions coupled to a heat bath (Yepez, 1993).
A reversible model of crystal growth (8MB): when a grey gas particle diffuses next to a green crystal particle, it joins the crystal and emits a red heat particle. The reverse also happens. The model is discussed in A thermodynamically reversible generalization of diffusion limited aggregation (D'Souza and Margolus, 1998).


A cautionary tale...

Superman 144 from Superman 144, April 1961

email: nhm at mit.edu