The phrase, "There is a natural order to our universe," is a knowledge claim which, in order to support, must first be clarified in terms of its meaning and implications. In general, it can be noted that regarding the meaning of this claim, it asserts that there is a body of "stuff"--presumably matter--which is the universe and which contains discoverable cause and effect relationships, interrelationships, and associations among its elements and components.
In addition, the claim that there is a natural order to our universe implies that this body of matter that is the universe exists independently of the observer; otherwise, any evidence offered to support a natural order would only prove that there is an ordering function with respect to our perception and perceptual processes. Thus, the implication is that the cause and effect relationships, interrelationships, and associations present among the components and the elements in the universe can---all conditions being equal---be discovered by anyone.
Given the foregoing, it can be seen that the key support for the claim that there is a natural order to our universe would consist of evidence of universal processes which---all conditions being equal---operate unfailingly as well as independently of the observer; and indeed, this evidence can be found. Any person regardless of differences in his/her personal physical characteristics, culture, ethnicity, language or social position in life, can observe that an object dropped from a tall building will eventually fall to the ground.
In other words, there is a cause and effect relationship in the universe (law of gravity) which is discoverable by all and the operation of this cause and effect relationship is unaffected by who it is that is doing the observing. Similar examples can be provided. For example, anyone, regardless of individual differences, can observe that if a sufficient level of heat is placed under a pot o...