653 research outputs found
Use of G\"odel Universe to Construct A New Zollfrei Metric with Topology
A new example of -dimensional Zollfrei metric, with the topology , is presented. This metric is readily obtained from the celebrated
- dimensional rotating G\"odel universe . This is because
has the interesting property that, the light rays which are confined
to move on the plane perpendicular to the rotation axis, return to their origin
after a time period -where is
the angular velocity of the universe. Hence by - the topological identification
of pairs of points on the time coordinate, seperated by the time interval .
and droping the flat coordinate - which is directed along the rotation
axis; one obtains the -dimensional Zollfrei metric with the topology.Comment: 3 page
Special Theory of Relativity in Curved Space Time
Space-time measurements, of gedanken experiments of special relativity need
modification in curved spaces-times. It is found that in a space-time with
metric , the special relativistic factor , has to be replaced by
, where , is the
4-velocity, and the relative velocity between the two frames Examples are
given for Schwarzschild metric, Friedmann-Robertson-Walker metric, and the
G\"{o}del metric. Among the novelties are paradoxical tachyonic states, with
becoming imaginary, for velocities less than that of light, due to
space-time curvature. Relativistic mass becomes a function of space-time
curvature, , where is the
4-momentum, signaling a new form of Mach's principle, in which a global object
- namely the metric tensor, is effecting interia.Comment: 13 page
Geometry of Time, Axiom of Choice and Neuro-Biological Quantum Zeno Effect
Role of axiom of choice in quantum measurement is highlighted by suggesting
that the conscious observer chooses the outcome from a mixed state. Further, in
a periodically repeating universe, these outcomes must be pre-recorded within
the non-physical conscious observers, which precludes free will. Free will
however exists in a universe with open time, It is suggested that psychology's
binding problem is connected with Cantor's original definition of set.
Influence of consciousness on material outcome through quantum processes is
discussed and interesting constraints derived. For example, it is predicted
that quantum mechanical brain states should get frozen if monitored at
sufficiently small space-time intervals - a neuro-biological version of the so
called quantum zeno effect, which has been verified in domain of micro-physics.
Existence of a very small micro-mini-black-hole in brain is predicted as a
space-time structural interface between consciousness and brain, whose
vaporization explains mass-loss reported in weighing experiments, conducting
during the moments of death.Comment: 13 page
Epistemology in Cyclic Time
Consider the scenario, in which human civilization undergoes periodic eras of
progression and regression, and consequently, changes in cosmological knowledge
are cyclic. There exist solutions of general theory of relativity, such as the
G\"{o}del universe, in which the cosmos is rotating. If the real universe is
indeed rotating, than this would be a reversion to rotating universe models,
used in ancient cosmological models. We argue that such reversions in physical
models would be inevitable in a space-time in which time is having
(circular) topology.Comment: Paper accepted for conference on philosophy of science, Kentucky
State University, April 199
Climate Control Using Nuclear Energy
We examine implications of anthropogenic low pressure regions, - created by
injecting heat from nuclear reactors, into atmosphere. We suggest the
possibility that such artificially generated low pressure regions, near
hurricanes could disrupt their growth, path, and intensity. This method can
also create controlled tropical stroms, which lead to substantial rainfall in
arid areas, such as - (1)Sahara desert, (2) Australian interior desert, and (3)
Indian Thar desert. A simple vortex suction model is developed to study, effect
on atmospheric dynamics, by such a nuclear heat injection system.Comment: 17 pages, 6 figure
Recurrence Metrics and Time Varying Light Cones
It is shown by explicit construction of new metrics, that General Relativity
can solve the exact Poincre recurrence problem. In these solutions,
the light cone, flips periodically between past and future, due to a
periodically alternating arrow of the proper time. The geodesics in these
universes show periodic Loschmidt's velocity reversion , at critical
points, which leads to recurrence. However, the matter tensors of some of these
solutions exhibit unusual properties - such as, periodic variations in density
and pressure. While this is to be expected in periodic models, the physical
basis for such a variation is not clear. Present paper therefore can be
regarded as an extension of Tipler's "no go theorem for recurrence in an
expanding universe", to other space-time geometries
Curvature effects in special relativity
Space-time measurements, of gedanken experiments of special relativity need
modification in curved spaces-times. It is found that in a space-time with
metric , the special relativistic factor , has to be replaced by
\gamma_\g=1/sqrt{g{\mu \nu} V^\mu V^\nu}, where , is the
4-velocity, and the relative velocity between the two frames. Examples are
given for Schwarzschild metric, Friedmann-Robertson-Walker metric, and the
G\"{o}del metric. Among the novelties are paradoxical tachyonic states, with
\gamma_\g becoming imaginary, for velocities less than that of light, due to
space-time curvature. Relativistic mass becomes a function of space-time
curvature, , where is the
4-momentum, signalling a new form of mach's principle, in which a global object
- namely the metric tensor, is effecting interia.Comment: 13 pages (double spaced
Interplay between the small and the large scale structure of spacetime
Existence of frame invariant, maximum, time interval , length , and
mass is postulated. In the de Sitter universe - (1) the life span of
universe, (2) the circumference of universe at the point of maximum expansion,
and (3) the mass of the universe - are candidates for , and
respectively. Impact of such invariant global parameters, on the definition of
local physical quantities, such as velocity is discussed.Comment: 8 page
Loschmidt's paradox, entropy and the topology of spacetime
The issue of the "eternal return" is examined from the perspective of the
topology of spacetime. Constraints on dynamical laws for the periodic evolution
of a system or universe are highlighted. Using a Fourier series expansion, an
infinite set of simultaneous linear equations is formulated for the periodic
evolution of a system/universe.Comment: 8 pages, v2: 2 references added, typos corrected, minor content
chang
Large Scale Weather Control Using Nuclear Reactors
It is pointed out that controlled release of thermal energy from fission type
nuclear reactors can be used to alter weather patterns over significantly large
geographical regions. (1) Nuclear heat creates a low pressure region, which can
be used to draw moist air from oceans, onto deserts. (2) Creation of low
pressure zones over oceans using Nuclear heat can lead to Controlled Cyclone
Creation (CCC).(3) Nuclear heat can also be used to melt glaciers and control
water flow in rivers.Comment: 7 pages, some typos correcte
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