about phase

[AntonioLao]

There are several physics definitions of phase. Here, two relevant definitions will be discussed. Firstly, it is a homogeneous part of a heterogeneous system that is separated from other parts by a distinguishable system boundary. For example, a mixture of ice and water is a double-phase system. However, a solution of salt in water is a single-phase system. Secondly, it is a description of the particular stage that a periodic motion has reached relative to other periodic motions of the same frequency. Two varying wavefunctions are said to be in phase if their maximum and minimum values occur at equivalent time intervals such that the phase angle is zero. A phase difference exists if and only if the phase angle is not identically zero.

A phase angle is defined as the difference in phase between two simple harmonic oscillators as physical representations of the abstract ideas of wavefunction of quantum mechanics. The linear displacement (��) of one at time �� is given by ��=������������ where �� is the angular frequency and �� is the amplitude. The linear displacement �� of a similar wave that reaches the end of its period �� a fraction �� of the period before the first is said to lead the first by a time ���� and if it reaches the end of its period �� a fraction �� of the period after the first it lags by a time ����. The value of �� is then given by ��=��������(����+��) where ��=2���� is called the phase angle. It can now be noted that there is a strong physical resemblance between phase difference and temperature difference or thermal gradient as defined in thermodynamics. Analogously, matter and energy can be considered as the two components of the two-phase system of the quantization of the spacetime continuum.

[theunify]

The phase angle as calculated by group homo if calculated as a product of the future in a larger group would cancel itself out at infinity; at a lesser result it would cancel itself out at termination.

Another phase angle would be analagous to the group hetero, which if calculating within the larger group would recieve similar results.

Both groups seek to exclude themselves from the larger group. such as cancelling at infinite time periods, seeking to avoid a direct cancelling out at termination, or both groups seek no cancel at termination and no cancel at infinity.

In this case both groups will seek liberation from subjugating themselves from positive space, in other words they will benefit from greater phase angles in a spacetime continuum which exists in unexplored territory and therefore must be subject to neither groups, this negative space yeilds the two groups out of the constraints of the larger group mentioned, however; it maintains one shared boundary point (new group in unexplored territory) whereas to be the basis for the next phase of the function ����.

~theunify

[AntonioLao]

local relative phase angle can be determined only if a given reference frame is defined. On the other hand, absolute value of phase angle analogous to absolute motion can never be determined.