It is quite important to know about the behavior of a field (F) at a zero-point. With no rotational dynamics operating at a zero-point possibly, curl F will be expected to have active zero value. However, the grad F may be nonzero at zero point having zero-point energy field operational. Currently, it will be appreciated to clarify whether mathematically it may be quite different or not.
A vector field is the source of the circulation. Conservative fields have zero curl: there are no free twists to push you along. ... The magnitude is simply the amount of twisting force at a point--MORE MASS MORE POTENTIAL ENERGY OF THE FIELD, ZERO CIRCULATION = ZERO CURL= a cross-product of the gradient -WHICH IS the rate of change of a function-and the field . A GRADIENT HAS MANY INPUTS BUT 1 OUTPUT: SCALAR FIELD. IN 3 COORDINATE SYSTEM THE TEMPERATURE VARIES DRASTICALLY FROM POINT TO POINT. The coordinates are the current location, measured on the x-y-z axis. The gradient is a direction to move from THE current location, such as move up, down, left or right.The gradient at any location points in the direction of greatest increase of a function. If THE FUNCTION measures temperature.THEN, the gradient "tells" WHICH direction to move to get to a location with a higher temperature,Remember that the gradient does NOT give the coordinates of WHERE to go; it gives us the DIRECTION to move to increase our temperature.Every time YOU nudged along and FOLLOW the gradient, YOU get to a Warmer and Warmer location.Eventually, YOU’d get to the HOTTEST part OF THE SYSTEM!...SO--AT the HOTTEST point in the SYSTEM, What is the gradient there?=Zero. --Why? Well, once you are at the MAXIMUM location, there is NO direction of GREATEST INCREASE. Any direction you follow will lead to a Decrease in temperature.!But what if there are two nearby maximums, like two mountains next to each other? You could be at the top of one mountain, but have a bigger peak next to you. In order to get to the highest point, you have to go downhill first.You must find multiple locations where the gradient is zero — you’ll have to test these points to see which one is the global maximum. IS THERE A CYCLE?The gradient IS PERPENDICULAR TO THE POTENTIAL & represents the direction of greatest change. If it had any component along the line of equipotential, then that energy would be wasted (as it’s moving closer to a point at the same energy)...THAT IS WHY THE GRADIENT IS THE DIRECTION OF GREATEST INCREASE...THAT'S WHY A TENSOR IS BETTER..IT'S ALL IN THE TORQUE..ROTATE AND TWIST AND THE VIEW DOWN THE Z-AXIS IS CONSTANT & YOU CAN SKIP FROM MAXIMA TO MAXIMA...
Hello Susana:
Thank you with your response. From what you have described, that seems the answer to my question is yes. Please clarify anything different on that.
With best regards,
Rajan Iyer
In DETERMINING" IF" IPZ PRINCIPLES CAN BE APPLIED TO "SOLVING" THE MATHEMATICAL PHYSICS OF A TENSOR MODEL FOR UNIFICATION THEORY (UFT) AS YOU CLAIM. YOU MUST CONSIDER AND I REPEAT- INHOMOGENEITY OF POTENTIAL DISTRIBUTION OVER MATERIAL SURFACES WITH GEOMETRICAL DEFECTS (A POTENTIAL GRADIENT CLAIMED BY "IPZ") CANNOT BE "DIRECTLY" TRANSLATED TO VECTOR POTENTIAL DIFFERENCES MATHEMATICALLY DUE TO METRICS-(A METRIC "DOES NOT" HAVE A TORSION VECTOR)-THAT IS THE PROBLEM WITH THE CATHODIC METHOD, AND WHY IT DOES NOT PREVENT CORROSION OR ELIMINATE IT- IT IS ONLY A COROLLARY OF A MORE FUNDAMENTAL PROCESS.
REGARDING UFT ITSELF, THE STANDARD MODEL SUSTAINS A CONSTANT ACCELERATION OF EXPANSION AGAINST A CONSTANT MICROWAVE BACKGROUND "NOT ACCOUNTING" FOR UNEVENNESS IN THE 95% CONTENT OF DARK MATTER. MOMENTUM CREATES MATTER AND THE GRAVITATIONAL TENSOR POTENTIAL C = α ψss ( an antisymmetric tensor, combining two components of gravitational field – the gravitational field strength and the gravitational torsion field – into one. It is used to describe The gravitational field & - is a component of general field.) -"THE CHALLENGE" OF the Einstein–Schrödinger theory with its asymmetric metric,in view of the argument demanding irreductiibility of the metric. MAKING IT SYMMETRIC DIS-UNIFIES IT, (SHOWN BY KURT GODEL) BUT, KEEPING A NON-SYMMETRIC CONNECTION ONLY SOLVES PART OF THE PROBLEM!
Hello Susana:
Thank you with your response. What I'm arriving at is that mathematical technique applied as within IPZ model possibly utilized to transform and not necessarily directly that IPZ PRINCIPLES CAN BE APPLIED TO "SOLVING" THE MATHEMATICAL PHYSICS OF A TENSOR MODEL FOR UNIFICATION THEORY (UFT).
Hope that our discussions eventually lead to something meaningful towards that goal. Your valuable advises are highly appreciated moving along.
With best regards,
Rajan Iyer
In grand unification the results should be the same in every reference system. So a zero point is relative.
A small modification can give a zero point for a velocity reference frame if you accept my proposal that CMB temperature becomes equal in all directions at the zero point.
Thank you with your comment. The actual relationship between CMB temperature & the gravitational waves may become key in grand unification theory of everything.
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