Saturday, March 26, 2011

Strong Operation Disabled by Inertia

Updated: Oct 26, 2014
In binary mechanics (BM) [1], unconditional, scalar, vector and strong bit operations determine the exact time development of the bit distribution (e.g., Eq. 1 in [2]). Unconditional, scalar and vector operations each define bit motion within one of three spatial dimensions. In contrast to these intra-dimensional operations, the inter-dimensional strong operation defines bit motion between spatial dimensions. This note discusses the strong bit operation and how it may be modified by a BM quantity called inertia.

Fig. 1: Strong Bit Operation

Legend: blue, bit in zero state; black, bit in one state.

Strong Bit Operation
Fig. 1 shows a perpendicular pair of spot units oriented in the x and z dimensions, viewed from above the xy plane. In the strong operation time tick, the initial state (t = 0) bit gradient from the x-to-z spot units over BM distance unit d (grey rectangle) is required for 1-state bit motion from the x spot unit to the z spot unit (t = 1).

In left-handed spots (Eq. 30, Table 1 and Fig. 3 in [1]), strong bit motion occurs in x-to-y, y-to-z and z-to-x directions. This within-spot spin direction is reverse in right-handed spots: x-to-z, z-to-y and y-to-x.

Strong bit motion is always lite-to-mite for the electron spot and mite-to-lite for the positron spot. In contrast to these lepton spots, the six d quark spots may contain mite-mite, lite-lite, lite-mite and mite-lite transitions. To visualize these combinations, imagine that loci in the grey rectangle in Fig. 1 were both mites or both lites.

The strong mite-mite and lite-lite transitions in d quark spots change the mite-lite phase of those bits with respect to those participating in mite-lite or lite-mite transitions.

This lepton-quark difference may partially explain lepton and d quark behavior and challenge the theorist with choices. For example, should all four types of bit transitions be allowed in d quarks? Or alternatively, does the correct physics permit only lesser number of the four permutations described?

The present assumption is that all four transition types in quark spots are allowed or enabled, which yields the result of the 84 tick baryon bit cycle [3].

Inertia
Fig. 2 illustrates inertia (green rectangle) which is thought to prevent, over-ride or disable bit motion due to the strong potential.

Fig. 2: Inertia Disables Strong Bit Operation

Legend: blue, bit in zero state; black, bit in one state.

With the four binary permutations of the two bits in a spot unit, inertia is said to exist if the mite and lite bits are both in the one state (green rectangle in Fig. 2). Thus,

p = ml (1)

where inertia (p = 0,1) is the product (or logical AND) of the mite (m) and lite (l) states (0,1).

Several considerations may justify this definition of inertia. The state of bits in adjacent spot units was used to define scalar and vector potentials [2], which raises the obvious question of the possible physical significance of the states of the two adjacent bits within a spot unit. Defining inertia may be viewed as a sort of theoretical symmetry.

In addition, inertia increases the odds that bits will exit lepton and quark bit cycles, a requirement for particle motion. However, strictly speaking, inertia is not the only bit pattern that favors exit from bit cycles. For example, if the bit in the destination spot unit is in the one state, the strong force is also "blocked" (equals zero). In this situation, the bit in the source spot unit will exit the spot and corresponding bit cycle in the subsequent unconditional bit motion tick. This result has a similar effect to that of inertia.

Finally, the inertia label may be consistent with the result that it prevents a change in motion direction (scattering) seen in the strong bit operation.

In summary, if both bits in a source spot unit are in the zero state, the strong force is zero and no strong bit motion occurs. If one of the two bits is in the one state, strong force may evaluate to one (true). However, if both bits are in the one state (inertia p = 1), strong bit motion is disabled.

The current version of the BM simulator (HotSpot 1.21) implements the strong bit operation described above and is available for download here.

References
[1] Keene, J. J. "Binary mechanics" J. Bin. Mech. July, 2010.
[2] Keene, J. J. "Electromagnetic bit operations revised" J. Bin. Mech. March, 2011.
[3] Keene, J. J. "The central baryon bit cycle" J. Bin. Mech. March, 2011.
© 2011 James J Keene