Galilei [1] proposed the rule of inertial system. Newton proposed absolute time/space [2] . Einstein finally settled down the issue and established the time/space view according to his relativity theories [3] - [5] . They assumed many inertial systems exist in our universe. The speed of signal (light) has been difficult to be measured precisely [6] . Einstein assumed that independent of the motion of the light source, it is finite and constant for the observer in inertial systems or anywhere/anytime. Then he derived the special relativity theory for inertial systems and the general relativity theory for general systems.

We have proposed quantum-like formalism in information biology [7] . It may have originated from the interconnection each other or entanglement of more than two interactions. Based on its adaptive dynamical view (everything is interconnected and nothing is isolated), we assumed unique reference frame, our universe, with no other inertial system [8] [9] . By assuming constant speed of signal (light) in the unique system, we derived similar predictions of time delay and Lorentz length contraction in a moving system with constant velocity as those of special relativity theory. In this respect, another interpretation on Lorentz transformation has been proposed [10] [11] .

In this article, we extend such derivation under gravity as a simple example of the time/space distortion like as predicted in general relativity theory, just utilizing the predicted results of time delay and Lorentz length contraction obtained from our model [8] [9] without assuming constant light speed anytime/anywhere. We assume the equivalence principle of gravity and acceleration, same as Einstein did. The trial was successful meaning that our model of unique reference frame, our universe, can predict consistent results as Einstein’s relativity theories. Then we propose that the time/space distortion comes from the signal velocity being finite and constant, not representing the property of space structure per se. In addition, we speculate the mechanism of the Lorentz length contraction observed.

Apparent time/space distortion similar to that predicted by general relativity theory

Consider a round disc rotating as in Figure 1A . A mass 1 stays at the disc edge. Radius is r, rotating angular speed, ω, time in the reference frame, t, time on the rotating disc observed by the observer in the reference frame, t′. The light velocity is c.

Then the centrifugal force is rω², which is in balance with the pulling force toward the center, a kind of gravity pulling the mass according to the equivalence principle. If it is on earth, it corresponds to g. When the disc stays static in the reference frame, the length of the edge should be 2πr with its own time t. But when it rotates, the length will appear shorter, $2\pi r\sqrt{1-{\left(r\omega /c\right)}^2}$, with the disc time t′, where $t^{\prime }=t/\sqrt{1-{\left(r\omega /c\right)}^2}$ for the observer on the disc by observing from outside reference frame. Here we approximated the rotating motion of the disc edge as the integration of many local straight motions with the constant velocity, rω, and used the previously obtained predictions of time delay and Lorentz length contraction [8] [9] .

We drew the above relations in Figure 1B and Figure 1C depending on the radius r. In Figure 1B , the relation is represented in a three-dimensional way owing to its Riemann geometric nature.

This simple example may be intuitively accepted to show that the apparent time/space under gravity is distorted similar as that predicted in general relativity theory.

We discuss the time/space distortion in our universe based on the present and

previous works [8] [9] .

Einstein assumed many inertial systems in his special relativity theory. We assumed one unique reference frame with no other inertial system. Both assumed a finite and constant velocity of the signal. He extended his assumptions into general systems (general relativity theory) and we here into the above example of a rotating disc system. In this study, we showed only an example of a rotating disc system. We could predict similar time/space distortion as the general relativity theory of Einstein. We think the result of our example could be applicable widely in general space, our universe. When we assume an infinite velocity of the signal, such distortion cannot be derived. Therefore, we can propose that all of these distortion effects should have originated in signaling velocity being finite. Then we may be able to conclude based on the adaptive dynamical view that the distorted structure of our universe does not reflect the space structure per se, but rather that materials were first created in our universe space and then that they resulted in forming the present apparent time/space structure of our universe.

Both of Einstein’s and our proposals lack of basic and essential knowledge (information) concerning to the interaction mode of photon/graviton and environment such as assumed in the adaptive dynamical simulation of double slit interference phenomenon [12] [13] . Investigation into it is eagerly required. In this respect, the predicted space distortion due to gravity, causing light path curvature, must be reflecting such photon/graviton interaction.

Finally as a whole, we can summarize our works in this paper with previous ones [8] [9] as follows. Our new model seemed to provide the similar predictions as special and general relativity theories. As we have discussed in our previous paper that there is no inertial system other than our universe, we think that our model provides a probable alternative of the time/space view than Einstein’s relativity theories. We think it is time to reconsider the traditional time/space view according to many inertial systems and relativity theories.

Einstein assumed in his relativity theories that the speed of light is constant in any inertial systems (special relativity theory) or in any general systems (general relativity theory). He derived Lorentz transformation in his special relativity theory and predicted Lorentz length contraction as a transformation result.

We assumed the velocity of interacting particles including light being constant in the unique reference frame, our universe [8] [9] . To observe that the same event should take place in a moving system with constant velocity to that in the reference frame, similarly as in an inertial system of Einstein, we had to predict the Lorentz length contraction. In this sense, the prediction was not self-evident. So we compare both Lorentz length contraction in this study.