A truly participatory universe varies both extensively as well as intensively. Extensive variables such as mass and total energy divided by another extensive variable such as volume, become intensive variables such as density and pressure: density equals mass per unit volume, pressure equals total energy per unit volume. Moreover, the rate of change of pressure divided by the rate of change of density gives the square of the absolute magnitude of velocity ²=∆/∆. In the limit as ∆→0, ²→∂/∂, this simple partial differential approach to continuous one dimensional reality is equivalent to (∂/∂)² if and only if the latter satisfies the general covariance of the one dimensional wave equation: ∂²/∂²=(1/²)(∂²/∂²) where = ±(,) and signifies both positive and negative space-time directors. For both microscopic and mesoscopic systems, (,) becomes the one dimensional wave function (,). For macroscopic systems, (,) can be the classical electric field or the classical magnetic field. For sound propagations, (,) becomes the longitudinal compressive or rarefactive displacements of the medium by thermal forces supporting the motion of the sound waves. These thermal forces are equivalent to thermal gravity given by: =(²/⁴)Δ/² where Δ=₁₂=(₂-₁)₁ such that ₁=1kelvin and ₂>>₁ if and only if both ₁ and ₂ are rational numbers.
The general covariance of the one dimensional wave equation ∂²/∂²=(1/²)(∂²/∂²) together with the constancy of square of vacuum speed of light, given by these two equivalent formulations ²=1/₀₀ or ²=₁₂ where ₀ is the measured permittivity of the vacuum and ₀ is the measured permeability of the vacuum, ₁ is the phase velocity and ₂ is the group velocity, both formulations suggest that at all levels of existence, an adiabatic process is the rule rather than the exception, considering systems in the small scale, in the middle scale, or in the large scale. That is the true existence of an effective adiabatic reality, anything else is simply virtual reality of the very small scale and of the very large scale but not of the normalized middle scale of continuous comprehensive human consciousness.


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