Quantum Mechanics
, as it came to life via the
Copenhagen interpretation between 1925 and 1927 is an
analyzed __not even __**C**omplete **N**on-Reducible set-of *easy
linearly "***mathematical**" **Point-Particles** analyses. As a direct result it
has to use math. non-logical so-called __intrinsic__ properties related to
the different analyzed stable “**Quantum
Particles**” in our universe!
Albert Einstein tried to solve required curvature of easy imaginable
4D-Spacetime resulting from the always dependent & present Gravitational-field
in the higher-dimensional so-called
Riemannian-manifold.
However, the
**o****nly
reason for curvature of 4D-Spacetime just is the fundamental **
**
elementary **
**ó****nly
symmetrical spin 2**** of the (invisible) Graviton!**
In line
with Albert Einstein's theory of
General
Relativity any valid math. model of reality must comply to the
**C**omprehensive **A**ction **P**rinciple, i.e. __always__ include the dependent,
so also **required**,
*(orthogonal
ónly elem. *__symmetrical__ spin 2)
**Gravitational-field**.
NB
Albert Einstein __never__ realized these "**difficult**"
**
QM**
requirements of his developed **
CAP** himself, because he just
didn't like the non-logical behavior of these in his linear logical-eyes really
mis-understood “**Stupid Statistical**”
**Q**uantum
**M**echanical
analyses of reality!
As a direct consequence all
26 different elementary particles which represent
__everything possible in our
universe__ with just 3 conserved
Fermi-Families must be analyzed as
logical Spacetime-like __extended__
easy linearly analyzed
ideal harmonic oscillating
“**mathematical**”
objects.
Einstein's Nobel-prize of the Photo-Electric effect
proofs that the EM-field is CN represented by Photons, he very probably
disliked the used simple Point-Particles analyses of QM, even though all
particles all possess conflicting Energy proportional to a Frequency E
=
h **·** f:
**
Energy
implies ***not* Point-like Spacetime-like
extensiveness with Ideal Harmonic Oscillating Properties!
The conserved physical
phenomenon called
spin
or more literally “**conserved ****intrinsic****
angular-momentum in the direction-of-motion**”
just cannot be interpreted as **a math. logical-concept!**
Therefore, to analyze still not-understood “**Quantum
Mechanics**” CN math. Logical Consistently __compliant to the__
**
CAP**, stable elementary and **
CAP**-**dual**
otherwise stable compound “**Particles**”
must be described CN as math. **dual** (*orthogonal in 2 different
ways**) oscillating identities:
**Ideal Harmonic
Oscillating **math. **Point-Waves in
the 2D-Plane* Perpendicular to the Direction-of-Motion** (*SR world-line*)
**with** **
CAP**- **dual**
**
Open-
or Closed- Boundary Conditions. **
(1)
As a direct result all stable particles must
have energy linear-proportional to a frequency & conserved non-zero Angular-Momentum in
the direction-of-motion (Helicity
of the **
CAP**-**dual**
2 perpendicular zero rest-mass bosons {Graviton & **orthogonal**
Photon} &
Chirality in all other “massive”-cases). This last-property is usually
called
spin as an incorrectly assumed so-called “**intrinsic**”
property of elementary always analyzed math. Point-Particles in the *
still not-understood*
so-called
**QM**
A **
CAP**-**dual**
logical math. CN theory where all possible particles with all their required
extended properties are explicitly described & explained CN according to (1) to
math. logically explain
**QM**
**spin**.
**
CAP**-**dual**,
force-fields are either elementary __
spin 2 Symmetrical__ described by the
orthogonal, so
invisible, masses > 0 -related Graviton or orthogonal __spin 1 Anti-Symmetrical__
non-zero
charge-density related force-fields, described by so-called
Gauge-Symmetries. The CN Gauge-Symmetry of 4D-Spacetime &
**
CAP**-**dual** 4D-Momentumenergy analyses are just the always
used Gauge-Symmetries of the
Standard-Model: **U(1) x SU(2) x SU(3)****:** **U(1) x SU(2)**
describe the U(1) –
EM-field CN describing the Photon with it's (spin) 1 x (anti-symmetrical) 6
= 6 degrees-of-freedom and the 3 SU(2) – Gauge-Symmetry both charged (non-zero
charge-densities) and massive (rest-masses > zero) weak nuclear force bosons {W^{±},
Z} mixed by the
Weinberg-angle. The last possible Gauge-Symmetry, **SU(3)** describes the
3 Fermi-Families in our universe with only different rest-masses resulting into
**
CAP**-**dual**
2 x 3 = 6 different **spin 1½** so-called
Quarks
{(up, down), (charm, strange), (top, bottom)}, which in the also not-understood
so-called
Quantum Chromo-Dynamics of QM are incorrectly
assumed to be (*stable*) spin ½ fermions with as a direct result of that
also required so-called also ** ***dual* (spin
±½)
Isospin ½!
Here it must be noted that compliant to the
**
CAP** all possible math. expressions of reality must be described with
stable elementary Leptons and
**
CAP**-**dual**
compound spin ½ fermions, i.e.
Baryons,
the primary sources of all bosons. **Fermions** are described math. with **Open-
Boundary Conditions** & **Bosons** must be described math. with **Closed-BC** as described
by easy imaginable expression (1).
The conserved physical phenomenon called
spin
or more literally “**conserved ****intrinsic****
angular-momentum in the direction-of-motion**”
just cannot be interpreted as **a math. logical-concept!**
The required
**
CAP**-**dual** math. analyses of any correct model of reality
is CN related to the always present Rotational-Symmetry of analyzed (elem. or
compound
**
CAP**-**dual**) stable particles.
The
conserved **Angular-Momentum** in the Direction-of-Motion is a
conserved property of stable particles as a direct result of **
Rotational-Symmetry** when rotating the
**QM**
wave-function (1) of a particle around its axis-of-motion (SR worldline):
**Spin**
of particles
in the direction-of-motion is conserved as a result of
Rotational-Symmetry after a rotation over = radians
around the axis-of-motion with s the half-integer spin of elementary fermions or
the __positive__ integer spin of stable energetic-oscillating __elementary__
bosons. To obtain the actual angular-momentum with the correct dimensional
proportionality-constant, s must of-course still be multiplied by Dirac's
constant *(reduced Planck constant)* “**h-bar**”
ħ
=
h/(2π), with
h
the
Planck constant.
All stable elementary __Matter-Particles__, so-called
Fermions with
**
CAP**-**dual**
half-integer spin-values s
{½ (*leptons
& stable fermionic hadrons called baryons*), 1½ (*always
connected & non-stable single quarks*)}
must be described with **Open-BC**.
This explains why they all have conserved rest-masses > zero & (also required
**
CAP**-**dual**)
conserved non-zero
Bohr magnetons.
This math. explicitly described
(**CAP**-**dual**)
conserved spin (*in the
direction-of-motion*) at-once makes
it evident that still assumed to be valid __
elementary__
spinless bosons (Higgs
mechanism) which as a direct
consequence just cannot carry energy proportional to a frequency must be
__discarded__ as a (math.) incorrect assumption!At
the following link the remaining readable derivation & explanation of Quantum
Mechanics is described:
**
Continue Reading**..
.
Elementary spinless bosons just cannot possess energy proportional to a
frequency & the orthogonal only symmetrical spin 2 Graviton múst
be included in the re-written QM-model independent from all 3 “*simple*”
anti-symmetrical spin 1 Gauge-Symmetry remaining fundamental-forces. This CN
proves the so-called
Higgs mechanism
with the
ónly **elementary spinless**
Higgs-boson
to explain particles-masses greater than zero
**simply**
non-logical & non-compliant to (1) as being incorrect!
**
**
Last change:
07-12-2019 18:31:40 |