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Mark Ludwigson wrote in panentheism:
I read in a couple places how the Higgs field
would only explain mass in a few particles, and we would still need more theories and tests for possible origins of
mass and inertia. A bit disappointing...
I ran across the zero point field idea, which I recall Mac mentioning
in reference to Dark Matter. The ZPE produces a casimir effect which has evidence on the nanoscale. Some think it
is the cause of the cosmological constant, but the math doesnt work out, so I've read. It sounds promising and I hope
more progress is made in determining the truth of it.
From my Physics book:
Zero-point energy E.=0.5*h*v,
which is the lowest value the energy of the oscillator can have. This value is called the zero-point energy because
a harmonic oscillator in equilibrium with its surroundings would approach an energy of E=E. and not E=0 as the temperature
approaches 0K.
Below is some good background from calphysics website: Hi Mark! Your
post addresses the fundamental nature of mass. I have highlighted
particularly pertinent sections in your posted reference following. Imo, your last comment is
not applicable, provided the basic structure of string theory (still largely considered to be spacetime background dependent,
i.e. metric). Recall that of the four fundamental interactions,
only the weak interactions carries inertia. The electromagnetic 'virtual' photon and gravity's graviton and the strong nuclear
interaction gluon are all massless. It has for long be known,
that the supersymmetry of any 'unified' particle gauge theory requires initial masslessness. So
the question is from where the Higgs Field derives its mass to break the supersymmetry of a massless gauge field.
The
issue with electroweak theory is that it is the weak vector gauge bosons, called Wminus for matter and Wplus for antimatter
and Znought for uncharged particle interactions (termed currents); which are postulated to 'draw' the initial inertial
mass from the Higgs Field. For example the top-antiquark
system discovered by Fermilab in about 1995 decays into Wplus-Wminus pairings with energy excesses say in bottonium
products (of the next quarksystem in energy). The easiest Higgs Field models of course postulate
then some form of bifurcation of the Higgs Boson into say the massinducers of the W's (the Znoughts decay into neutrino-antineutrino
couplings associated with quark-antiquark eigenstates). One
easy way is to postulate the Planck-String or Planck-Boson to form a kind of supertemplate, containing a substructure allowing
both bosons and fermions to emerge from it. Say a Planck-Boson, which is massless carries
a 'gauge substructure' from which all of the known and tabulated elementary particles can derive from. Iow all quark-
and lepton configurations must be able to be derived from this blueprint. This
automatically engages electrodynamics as stated in your reference; because one is required to look for a prior masslessness,
say in a superphotonic eigenstate. And this indeed must define the ZPE , albeit not as a metric background, but as discrete
or quantised (say holographic) eigenstate. This selfstate would however be modelled as a wave-
or continuous background in the measurement physics; the ZPE eigenstates formiong the holographioc building blocks as the
Planck-Oscillator potentials E=0.5 hf of the superphotonic eigenstate. The
accelerations you mentioned are fundamentally reducible to the timedifferential of frequency as df/dt. This of course is metric
independent as the radial component can vary as a scalefactor in say angular acceleration. From this derives the quantum spin
as quantised Heisenberg constant and so on. The basic (relativistic) Newtonian law (which is
used statistically in QED) F=ma so has two components for the acceleration, one linear-classical and the other quantum-angular. For
example it is a wellknown fact, that Lorentz-Contraction of a solid rotating disk only occurs tangentially, but not radially.
So spacetime warps relative to a comoving observer on the perimeter, but not to an observer along any radius. (The rulers
would not shorten along a radius, but would become warped along any perimeter, resulting in positive curvature). A
simple proof is in F=dp/dt, with p=relativistic momentum mv and using m=mo/Sqrt[1-(v/c)^2] and moc^2=hf. Differentiating mv gives mdv+vdm=(hf/c^2).dv/{Sqrt[1-(v/c)^2]}^3+=(hv/c^2).df/Sqrt[1-(v/c)^2]. So F=ma={mo.dv/dt}/Sqrt[1-(v/c)^2]}^3 + {(hv/c^2).df/dt}/Sqrt[1-(v/c)^2]=Flinear +Fangular. So
Flinear is the ordinary 'Force' which is measured as F=ma in classical and quantum statistical physics. But
Fangular is defined by the angular acceleration df/dt and carries a minute coefficient
in terms of magnitudes of (h/c^2)~10^-51 and a scale which would be immeasurable for any smaller changes in frequency. Even
if you set the 'wave-group-speed' at c; the coefficient will be h/c~10^-42). So
it is no surprise, that the angular extension of Newtonian forcelaws remains unknown or ill-considered by the contemporary
establishment. However, at the Big Bang, after the string-epoch
had ended to initialise the metric background in the beforesaid 'master blueprint' for the gauges; the masslessness could
transform in the equivalence principle through the Higgs Bosonic restmass Induction hf=moc^2 of the superphoton
gauge. In short, the string epoch defined certain interaction
finestructures, such as electromagnetic alpha and gravitational alpha NOT from preexistent fermions and nucleons like protons
and neutrons, BUT from massless Planck-Strings first transforming into magnetic monopoles (Dirac) and subsequently into BIFURCATED
Bosons as the Lepton- and Quark precursors. Only after the
universe had cooled to about 10^15 Kelvins could a particular Higgs Boson energy of so 298 GeV become particularised and from
this split into Wplus and Wminus and quark-antiquark pairings. Lastly,
the leptons are true unifiers. The electron family are like nucleon shells or rings around neutrinoic cores in the 'master
template'. It is the Atomisation of the Subatomic realm or such - geometrically. The quarks all
derive from the Higgs Induction as couplings between leptonic rings and leptonic kernels with mesonic rings in between for
the quark-antiquark modelitis. The unification of all interactions proceeds in the kernel interchanging its eigenstate with
the other gauges. So the neutrino, the graviton, the gluon and the gauge photons are in a senmse all the same particle AS
the 'master template'. Changing the SU(2) Unitary symmetry
of Quantum-Chromodynamics to the SU(3) symmetry, then uses the next particularisation of the 'master template' from the
2x2 to the 2x2x2 quark-matter configurations of nucleons and hyperons and based on the familiar proton and neutron as basic
eigenstates. Tony B.
***************** Even
if the Higgs field is experimentally discovered, however, that will still not explain the origin of inertial mass of ordinary
matter. The Higgs field applies only to the electro-weak sector of the Standard Model. The mass of ordinary matter
is overwhelmingly due to the protons and neutrons in the nuclei of atoms. Protons and neutrons are comprised of the
two lightest quarks: the up and down quarks. The masses of their constituent quarks (approx. 0.005 and 0.010 GeV/c2
for the up and down quarks respectively) comprise only about one percent of the masses of the protons and neutrons (0.938
and 0.940 GeV/c2 respectively). The remainder of the mass would have to be due to the gluon fields and strong
interaction energies. The quark masses, the gluon fields and other strong interaction energies would not be affected
by a Higgs field. The origin of inertial mass of ordinary matter is thus a wide open question.
SED studies published
in the 1990s showed that a massless point- charge oscillator accelerating through the zero-point field will
experience a Lorentz force (from the magnetic components of the zero- point fluctuations) that turns out to be directly
proportional to acceleration, allowing the derivation of the fundamental F=ma relationship of mechanics from electrodynamics.
This points to the electromagnetic quantum vacuum as the origin of forces which appear as inertial mass.
The same result can be derived by considering the transformation properties of the electromagnetic field when experienced
in an accelerating coordinate system, and in that case the proper four-vector relativistic equation of motion can be derived.
A recent study showed that such a zero-point field based mass-generating approach would explain the origin of Einstein's
principle of equivalence. These as yet still speculative concepts suggest that zero-point energy may
be involved in some of the most fundamental properties of matter. It should be noted that this unorthodox approach
to mass based upon electrodynamics is not taken very seriously by the mainstream physics community, whose efforts remain
focussed on superstring- and M-theory.
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