square of uncertainty

[AntonioLao]

The uncertainty principle as given in quantum mechanics is just one of two physical principles that hold utmost theoretical underpinning in the microphysics of molecules, atoms, and elementary particles. The other is called complementarity principle as formulated and introduced by Bohr in 1928. The latter is made to justify the former. However, if the first is squared then what effect does the squaring do to the second? A first hand conjectural hypothesis is more accuracy and precision for measurements and the construction of micro scale devices and apparatuses for the emerging nanotechnology or femtotechnology.

As indicated by Leonard I. Schiff in 1949, there are three equivalent forms of the uncertainty principle. All these can be found on page 7 in the second edition of his book Quantum Mechanics, 1955. For the purpose of shorter discussions, only the most widely used form will be shown. This is given by ∆��∙∆��ᵪ≥ℏ. For simplicity, only the action along the one dimensional ��-axis is considered here. Squaring both sides of this inequality gives (∆��∙∆��ᵪ)²≥ℏ². The square of the right hand side resulted in a numeric constant much smaller than the original value. Successive squaring would make the value closer and closer to zero such that infinite power of the uncertainty becomes absolute certainty. This resolution is finalized if and only if the physical meaning of the square of the left hand side is physically resolved and understood.

[labelwench]

Though we seek for 'certainty' in all disciplines, there is little that I find to be certain.

Perhaps certainty is a construct of man, and the only certainty that we may discern is that the universe exists, or at least the persisting illusion of same, as Albert Einstein alluded.

[AntonioLao]

Scientists have long ago made the distinction between micro certainty and macro certainty. The micro certainty is determined by the understanding of two conjugate variables while macro certainty is determined by only referring to one conjugate variable called time. The important practicality of time in human civilization are too numerous to be listed here. But my question is why only human beings have this sense of time? Do plants and other animals have any sense of time? This sense might be related to our consciousness of being alive as a piece of rock might not be conscious that it exists.

[Profpat]

But my question is why only human beings have this sense of time? Do plants and other animals have any sense of time?

Sure plants and animals have a sense of time. Daytime vs night time. Winter vs spring. It's just real time they experience, the actual changing of things.

[labelwench]

But my question is why only human beings have this sense of time? Do plants and other animals have any sense of time?

Sure plants and animals have a sense of time. Daytime vs night time. Winter vs spring. It's just real time they experience, the actual changing of things.

Your answer intrigues me, Profpat.

What other time is there in addition to the 'real time' that you suggest plants and animals experience?

[AntonioLao]

Sure plants and animals have a sense of time.

Thanks. But I've seen any of them wearing a Swiss watch?

[labelwench]

Thanks. But I've seen any of them wearing a Swiss watch?

Indeed not, and yet I can usually judge what the seasons are going to bring by watching when the horses elect to shed and grow their coat, which is not identical year to year, and by the various aspects of the plants, as they present.

The 'time' allocated to each species is very much integrated with the weather. Our leaves are going to change color and drop early, despite a normal to late start, because of the weather extremes and their frequency this year. Each species has it's own sense of time which fits into a greater and longer expression of the distance of the journey.

[AntonioLao]

Then as the saying goes "there must be something in the water", applied to all living things, can be replaced by "there must be something from the Sun." The Sun gives not only light and warm but something else at the subatomic or subnuclear level that relates consciousness of all living things to the quanta of the spacetime continuum. The closest analogy is the "LIVING FORCE" in the Star Wars" sixlogies as the metachlorian counts in the blood stream.