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Steven Grisafi

Easton, Pennsylvania, United States

Steven Grisafi was born in Brooklyn, New York and raised on Long Island, New York. He was educated as an engineer at Rensselaer Polytechnic Institute, Yale University, and Columbia University in the City of New York, where he earned his PhD in chemical engineering. He is the author of the non-fiction book Resonance Universe Theory: A Theory of Time. He enjoys composing music and creating animations using his computer. He currently resides in Easton, Pennsylvania. To listen to some of his music compositions, please visit Fons et Origo .

My first book Resonance Universe Theory: A Theory of Time was published on February 2, 2010. The book presents my theory of entropic time, which is meant to replace space-time in calculations of extreme conditions for both quantum mechanics and cosmology. It reformulates Boltzmann's H-theorem then develops the light paths of a six dimensional universe to provide a means to measure entropic time. One of the more startling predictions is that space itself is quantized, possessing a smallest distance, which in three dimensions is the radius of what I call the minimum sphere. The theory demonstrates a relationship of the time invariant Schroedinger's equation with Maxwell's equations of electromagnetism. This relation shows how an electric field within our physical three dimensional world is equivalent to a magnetic field within a three dimensional mirror image world of our world. These two three dimensional domains comprise the six dimensional universe upon which entropic time is measured.

The impetus for the development of resonance universe theory began when I recognized what seemed to me to be confusion regarding the significance of Boltzmann's H-theorem. It seemed to me that a distinction between a non-equilibrium stationary state and an equilibrium (stationary) state needed to be made because the trajectory of states described by the H-theorem appeared not to address the physical possibility of natural convection occurring as a non-equilibrium stationary state in an approach to equilibrium. This appeared to be a problem of interpretation regarding the meaning of the H-theorem where scientists were led to believe that the H-theorem proved more than just a balance of entropy flows. So I began the development of resonance universe theory with a reformulation of Boltzmann's H-theorem with the purpose of drawing the distinctions between non-equilibrium and equilibrium stationary states. My conclusion was that the H-theorem demonstrated a balance of entropy flows and nothing more.

Before someone can fully appreciate the significance of replacing space-time with the measurement of entropic time one should understand what space-time is. The common understanding of space-time is that of a four dimensional measurement consisting of the three dimensions of ordinary space augmented with time. Too often it is said that this measurement places time on equal footing with the dimensions of space. This is not quite correct. The three dimensions of ordinary space used in space-time form the real part of a complex number. The fourth dimension, time, is not placed within this real part of the complex quantity known as space-time, but forms the imaginary part of the complex number. Hence, from the outset, all calculations require the mathematics of complex numbers utilizing time as an imaginary quantity.

Entropic time is not four dimensional like space-time. At the very least it must be evaluated within a six dimensional universe. It can be evaluated within a universe of more than six dimensions if necessary. Entropic time is an illusion and does not directly enter into a measurement of space. It is measured within a universe consisting of, at a minimum, our three dimensional world of ordinary space and a mirror image world of our three dimensional world, thus forming a six dimensional composite universe. The illusion of entropic time results whenever the action of forces causes a system to travel along special light paths known as the geodesics, or characteristic lines, of the six dimensional composite universe. These characteristic lines mark the paths of shortest travel for beams of light. Within the three dimensions of ordinary space that form half of the six dimensional composite universe, entropy increases as a system travels along the light paths. Within the three dimensional mirror image world, entropy decreases when traveling along these paths. Hence the advance of time is measured by the progress of entropy, which is why it is called entropic time.

My second book Peculiar Velocity in Action: A Theory of Classical and Quantum Mechanics was published on October 11, 2010. A peculiar velocity field can be visualized as a fluid. It is a special type of fluid in that it is one without either sources or sinks. Mathematically, such a field is said to define a type known as a solenoidal field. The word solenoidal is derived from the word solenoid, which is known to many persons as a coiled wire and a type of electrical device. A common example of a solenoidal field is the magnetic field. Most people are familiar with the idea that a magnet always possesses with two poles, a north and a south pole. Hence a magnet is what we call a dipole. Many of us have seen the pattern iron filings form in the presence of a magnet. The iron filings align themselves along the magnetic field lines providing us with a picture of the solenoidal field. One can see that the field lines are either always closed, that is, the lines begin at one of the two poles of the magnet and end at the other, or the field lines extend forever to infinity. This is the pictorial representation of a field that possesses no sources or sinks.

A static electric field is different from the magnetic field in that the field lines can emerge from a single electric charge without terminating in another electric charge. A static electric field is not a solenoidal field because the source, or sink, of the field is the single electric charge from which the field lines either emanate from or terminate into. Whereas the interaction of a magnetic field in motion relative to an electric field is capable of exerting a force, and thereby capable of doing work, an important characteristic of a peculiar velocity field is that it can do no work in and of itself. The inability of a peculiar velocity field to do work and its lack of either sources or sinks are its most important attributes.

The peculiar velocity is defined upon the field of motion of a collection of objects. Each object within the collection has a motion that is coordinated in some fashion to the motions of the other objects within the collection. We do not necessarily know the interaction causing the coordinated motion of the objects within the collection. When the bulk, or average, motion of the entire collection of objects is subtracted from the motion of any one member of the collection what remains is the peculiar velocity at the location of the member object. Each such member has a peculiar velocity and together the peculiar velocities of all the members of the collection define a field.

Interests: Composing music.

Published writer: Yes

Freelance: No


Published works:


  • Horseradish Harvest
  • Nonfiction

  • Chromavox
  • Resonance Universe Theory: A Theory of Time
  • Peculiar Velocity in Action: A Theory of Classical & Quantum Mechanics
  • Market Dynamics: The Mechanics of Financial Engineering