23. Tests of the DM theory

One should no more rack one's brain about the problem of whether something one cannot know anything about exists all the same, than about the ancient question of how many angels are able to sit on the point of a needle.

— 0. Stern

If we conjecture that our universe operates ac­cording to the rules of digital mechanics, then there would be certain consequences that would allow us to verify that fact. It is not clear what would be measurable by means of experiment, but we take the attitude that what is not expressly for­bidden is possible. In DM, much of what is thought of as forbidden by relativity or by quantum me­chanics is no longer forbidden. This opens the door to new experiments that would give results that would verify the DM conjecture. We do not ex­pect these results to be at odds with either current experimental evidence or with the mathemat­ical formulas of relativity and quantum mechanics. What will undoubtedly be different is the philo­sophical implications we ascribe to present theo­ries. For example, relativity seems to imply that there is no fixed metric. However, the discovery of a fixed metric would not destroy the mathemat­ical theory of relativity, it would merely change our philosophical perspective. Another example concerns randomness in quantum mechanics. If we were to discover that the apparent random­ness was really due to a deterministic hidden vari­able model, quantum mechanics would not sud­denly stop working. DM has in it, at this stage, something for everybody to object to. However, one should be careful to note whether the objec­tion is that DM will be at variance with experi­mental observation, and the mathematical equa­tions of physics, or with more generalized theories, English, Danish or other natural language expla­nations, models, heuristics, paradigms or philosophies.

Table 1: Correspondence between digital mechanics and physics.

Physics	Digital mechanics
digit-transition	D
length	L, the cell to cell distance
time	T , one cycle of the CA clock
energy	D/T, one digit-transition per unit time
momentum	D/L, one digit-transition per unit distance
mass	DT/L2
angular momentum	D
action	D
Other relationships are:
charge (+ or -)	space-time parity of D, even or odd
charge quantization	stable D orbits in 3-space
color	structure orientation: N-S, E-W, U-D
2-state system (spin)	actually, measuring one bit!
conservation laws	conservation of information
isotropy	asymptotic isotropy
continuity	discreteness
infinitesimals	the digit, units of length and time
infinities	large but finite
special relativity	asymptotic special relativity
general relativity	consequence of the DM process
measurable acceleration	measurable velocity
measurable rotation	measurable angular orientation
group theory properties	consequence of RUCA symmetries
particle masses	stable structures in the RUCA
too many parameters	the rule, and the initial conditions
why is there anything?	answer: unknowable determinism
complex amplitudes	2-phase clock, time dimension depth 2
spin 1/2	smallest D orbit
isotopic spin	projection of D orbits that represent charge
form of the photon	each particle is a digital machine where its spin, momentum, energy charge, color etc. is represented by information or by a particular information process.
form of the electron
form of the quark
form of the gluon
form of the neutrino