Stochastic Nature of Quanta-I |
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25th September 2016 | ||
"The idea of a
gravitational tensor belongs to the great construction
by Einstein. However its
definition as given by the Author cannot be considered final. First of all, from the mathematical standpoint, it lacks the invariant character that it should instead necessarily enjoy according to the spirit of general relativity. Even worse is the fact, perceived with keen intuition by Einstein himself, that from such a definition it follows a clearly unacceptable consequence about the gravitational waves. For this point he however finds a way out in quantum theory."..... .....“Since this fact” - these are his words - “should not happen in nature, it seems likely that quantum theory should intervene by modifying not only Maxwell’s electrodynamics, but also the new theory of gravitation”. "Actually there is no need of reaching to quanta......" -T. Levi-Civita |
Earlier we had discussed
some of the ideas behind non-locality and how
they relate to EPR-paradox. But we are
yet to discuss the underlying problem which
has led to this paradox i.e. whether quantum
mechanics provides a complete description of the
physical world. We will try to define
what complete description really means in a
discrete measurement space or j-space.
We assume that:
![]() For the capacity v2/c2<<1, the information represented by the measurements of ObsM is an infinitesimal fraction of the information represented by SU. The situation is shown in the following diagram: And if we really think about it, this how it actually is: The infinite information in the measurement metric of ObsM is less than the information contained on the infinitesimal region on the Unit-point sphere. We need to keep in mind that the following hold true on j-space:
In j-space there are two important aspects of counting based measurements. (i) The larger the number of measurements for more accurate the estimate is and more importantly (ii) it is multi-variate (n) problem with n → ∞j. For ObsM the sample space for the measurement of each variable itself, is infinite. In such scenario, measurements can not be completely accurate. Therefore the ObsM can make an estimate at best and that too for a very limited amount of information. In that case how do we understand the correlation between j-space and the wavefunction ψ? Also how accurate is the statement ∫ψ*ψ dX = 1, in j-space? 1. The Unit-point sphere SU is generated using Pauli's Spin Matrices and therefore represents the measurements made by the observer in relativistic frame, i.e. Obsc. 2. The volume, fn(r3), related physical effects (e.g. dielectrics), correspond to lower information states. These structures will be measured by the higher capacity observer Obsc (v/c ~ 1) as δ-functions. (Photons would know exactly where to go.) ![]() |
Previous Blogs:
Nutshell-2015 Chiral Symmetry Sigma-z and I Spin Matrices Rationale behind Irrational Numbers The Ubiquitous z-Axis Majorana ZFC Axioms Set Theory Nutshell-2014 Knots in j-Space Supercolliders Force Riemann Hypothesis Andromeda Nebula Infinite Fulcrum Cauchy and Gaussian Distributions Discrete Space, b-Field & Lower Mass Bound Incompleteness II The Supersymmetry The Cat in Box The Initial State and Symmetries Incompleteness I Discrete Measurement Space The Frog in Well Visual Complex Analysis The Einstein Theory of Relativity |
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