|Ed Gerck, Ph.D.|
• Postdoctoral in Physics, Max-Planck-Institute for Quantum Optics, Garching bei Muenchen, Germany, 1983
• Ph.D. Physics, "sehr gut" thesis grade, Ludwig-Maximillians University, Muenchen, Germany, 1983
• M.Sc. Physics, Instituto Tecnologico de Aeronautica, Sao Jose dos Campos, SP, Brazil, 1978
• Electronic Engineer, Instituto Tecnologico de Aeronautica, Sao Jose dos Campos, SP, Brazil, 1977
• MPG Germany Posdoc Grant
• DAAD Germany Doctorate Grant
• CNPq Brazil Doctorate Grant
• Fapesp Brazil Research Grant (Mathematics, Physics)
• ITA/CTA 5-year Engineering Grant
Profile and Publications: www.linkedin.com/in/edgerck
Science is about exploring. We understand that a scientific hypothesis is not more and not less than a "testable relationship". Anything else may restrict investigation or lead to an error.
Definition: A scientific hypothesis is a testable relationship.
In observing that test, we understand that "YES" means "NOT YET FALSE" and "NO" means "COULD BE TRUE". This is called refutability. We understand that a YES or a NO result may at one time not fit the class of other results, may be seen as incomplete, or be outright invalid.
Refutability is important not only for an experimental science such as physics ("A single experiment can prove me wrong". A. Einstein), but also in a formal science such as mathematics. The number 1 used to be a prime number ca. 1950, the number 2 was not always a prime. The symbol "=" is now known to have at least five different definitions.
In science, we do not affirm, we discuss; we do not accept, we discuss; we do not expound the Truth, we inquire. Unless we are willing to boldly call wrong, incomplete or see in a different way what was known and thought to be well-understood before, we cannot advance toward Truth.
In mathematics, even if just in number theory or arithmetic, there are statements that are true and yet cannot be proved (cf. Goedel's incompleteness theorems). Thus, it is possible that physics in general and quantum mechanics in particular, being a system based not on human discovery and classification but on Nature, can play a role where mathematics cannot -- and be informative to mathematics, including computation, cybersecurity, and cryptography, as well as other disciplines.
Conversely, a fault of physics and natural science is exactly that of being a science of testable relationships, which is bound to establish, although possibly conveyed in a mathematically exact form, relationships between phenomena. We multiply the power of our means of observation, but our starting and ending points remain sensorial, the phenomena. Mathematics, not being limited by phenomena, can play a role in scientific investigation by extending our reasoning beyond that which we can observe. Most mathematicians are willing to accept the existence of things without any relation to phenomena — e.g. things that we, at present, cannot observe or construct in the physical world.
(Gerck, 1997) "Trust is that which is essential to a communication channel, but cannot be transferred using that channel." This definition provides a mathematical framework for cybersecurity, including human trust (eg, as expected fulfillment of behavior) and trust between humans and machines (eg, as qualified information based on factors independent of that information). Search keyword: gerck trust
Current Research Areas
Quantum physics, complex and quaternion analysis, Clifford algebra, cybersecurity, data sans matter, information theory, trust theory, cognitive processes (natural and artificial/AI), and effective scientific methods.